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201202211212020 = 223254495591445271
BaseRepresentation
bin101101101111111000001010…
…010100111100101011110100
3222101101202002001010101012100
4231233320022110330223310
5202332444112032241040
61551531004140022100
760244244234105034
oct5557701224745364
9871352061111170
10201202211212020
1159122418997797
121a696405531930
138836396a02665
14379834baa78c4
15183dae7e5db30
hexb6fe0a53caf4

201202211212020 has 144 divisors (see below), whose sum is σ = 611783423596800. Its totient is φ = 53524731187200.

The previous prime is 201202211212019. The next prime is 201202211212061. The reversal of 201202211212020 is 20212112202102.

It is a happy number.

201202211212020 is a `hidden beast` number, since 2 + 0 + 120 + 221 + 121 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201202211211984 and 201202211212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451641985 + ... + 452087255.

It is an arithmetic number, because the mean of its divisors is an integer number (4248495997200).

Almost surely, 2201202211212020 is an apocalyptic number.

201202211212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201202211212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305891711798400).

201202211212020 is an abundant number, since it is smaller than the sum of its proper divisors (410581212384780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201202211212020 is a wasteful number, since it uses less digits than its factorization.

201202211212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451326 (or 451321 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201202211212020 its reverse (20212112202102), we get a palindrome (221414323414122).

The spelling of 201202211212020 in words is "two hundred one trillion, two hundred two billion, two hundred eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 449 898 1347 1796 2245 2694 4041 4490 5388 5591 6735 8082 8980 11182 13470 16164 16773 20205 22364 26940 27955 33546 40410 50319 55910 67092 80820 83865 100638 111820 167730 201276 251595 335460 445271 503190 890542 1006380 1335813 1781084 2226355 2510359 2671626 4007439 4452710 5020718 5343252 6679065 7531077 8014878 8905420 10041436 12551795 13358130 15062154 16029756 20037195 22593231 25103590 26716260 30124308 37655385 40074390 45186462 50207180 75310770 80148780 90372924 112966155 150621540 199926679 225932310 399853358 451864620 599780037 799706716 999633395 1199560074 1799340111 1999266790 2399120148 2489510161 2998900185 3598680222 3998533580 4979020322 5997800370 7197360444 7468530483 8996700555 9958040644 11995600740 12447550805 14937060966 17993401110 22405591449 24895101610 29874121932 35986802220 37342652415 44811182898 49790203220 74685304830 89622365796 112027957245 149370609660 224055914490 448111828980 1117790062289 2235580124578 3353370186867 4471160249156 5588950311445 6706740373734 10060110560601 11177900622890 13413480747468 16766850934335 20120221121202 22355801245780 33533701868670 40240442242404 50300552803005 67067403737340 100601105606010 201202211212020