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201001220202220 = 225412118271404743
BaseRepresentation
bin101101101100111100111110…
…010101000101111011101100
3222100200112021122002011211021
4231230330332111011323230
5202321200444332432340
61551254404045103524
760223600420522444
oct5554747625057354
9870615248064737
10201001220202220
1159055158793229
121a663471b57ba4
1388204452a3369
14378c722139124
1518387829d1e4a
hexb6cf3e545eec

201001220202220 has 96 divisors (see below), whose sum is σ = 434972663870976. Its totient is φ = 77973295142400.

The previous prime is 201001220202197. The next prime is 201001220202287. The reversal of 201001220202220 is 22202022100102.

It is a junction number, because it is equal to n+sod(n) for n = 201001220202194 and 201001220202203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142385169 + ... + 143789911.

It is an arithmetic number, because the mean of its divisors is an integer number (4530965248656).

Almost surely, 2201001220202220 is an apocalyptic number.

201001220202220 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 201001220202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217486331935488).

201001220202220 is an abundant number, since it is smaller than the sum of its proper divisors (233971443668756).

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

201001220202220 is a wasteful number, since it uses less digits than its factorization.

201001220202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405831 (or 1405829 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201001220202220 its reverse (22202022100102), we get a palindrome (223203242302322).

The spelling of 201001220202220 in words is "two hundred one trillion, one billion, two hundred twenty million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 211 410 422 820 827 844 1055 1654 2110 3308 4135 4220 8270 8651 16540 17302 33907 34604 43255 67814 86510 135628 169535 173020 174497 339070 348994 678140 697988 872485 1404743 1744970 2809486 3489940 5618972 7023715 7154377 14047430 14308754 28094860 28617508 35771885 57594463 71543770 115188926 143087540 230377852 287972315 296400773 575944630 592801546 1151889260 1161722461 1185603092 1482003865 2323444922 2964007730 4646889844 5808612305 5928015460 11617224610 12152431693 23234449220 24304863386 47630620901 48609726772 60762158465 95261241802 121524316930 190522483604 238153104505 243048633860 245123439271 476306209010 490246878542 952612418020 980493757084 1225617196355 2451234392710 4902468785420 10050061010111 20100122020222 40200244040444 50250305050555 100500610101110 201001220202220