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20212201100 = 2252731345329
BaseRepresentation
bin10010110100101111…
…011011011010001100
31221011121211012102202
4102310233123122030
5312343310413400
613141345341032
71313606606000
oct226457333214
957147735382
1020212201100
118632295933
123b01037778
131ba1644610
14d9a562700
157d46d54d5
hex4b4bdb68c

20212201100 has 144 divisors (see below), whose sum is σ = 55085016000. Its totient is φ = 6396687360.

The previous prime is 20212201019. The next prime is 20212201109. The reversal of 20212201100 is 110221202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20212201109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423236 + ... + 468564.

Almost surely, 220212201100 is an apocalyptic number.

20212201100 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 20212201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27542508000).

20212201100 is an abundant number, since it is smaller than the sum of its proper divisors (34872814900).

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

20212201100 is a wasteful number, since it uses less digits than its factorization.

20212201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45377 (or 45356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20212201100 its reverse (110221202), we get a palindrome (20322422302).

The spelling of 20212201100 in words is "twenty billion, two hundred twelve million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 175 182 196 245 260 325 343 350 364 455 490 637 650 686 700 910 980 1225 1274 1300 1372 1715 1820 2275 2450 2548 3185 3430 4459 4550 4900 6370 6860 8575 8918 9100 12740 15925 17150 17836 22295 31850 34300 44590 45329 63700 89180 90658 111475 181316 222950 226645 317303 445900 453290 589277 634606 906580 1133225 1178554 1269212 1586515 2221121 2266450 2357108 2946385 3173030 4124939 4442242 4532900 5892770 6346060 7932575 8249878 8884484 11105605 11785540 14731925 15547847 15865150 16499756 20624695 22211210 28874573 29463850 31095694 31730300 41249390 44422420 55528025 57749146 58927700 62191388 77739235 82498780 103123475 111056050 115498292 144372865 155478470 202122011 206246950 222112100 288745730 310956940 388696175 404244022 412493900 577491460 721864325 777392350 808488044 1010610055 1443728650 1554784700 2021220110 2887457300 4042440220 5053050275 10106100550 20212201100