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202002110202112 = 2811113634811539
BaseRepresentation
bin101101111011100001001000…
…000001011100000100000000
3222111020012202101012021122021
4231323201020001130010000
5202434100310202431422
61553342253251251224
760356112413250403
oct5573411001340400
9874205671167567
10202002110202112
1159400683030220
121a7a5441ba9b14
138893942a7394c
1437c4d50857d3a
15185481244bdc7
hexb7b84805c100

202002110202112 has 72 divisors (see below), whose sum is σ = 443763737413920. Its totient is φ = 91006582087680.

The previous prime is 202002110202097. The next prime is 202002110202169. The reversal of 202002110202112 is 211202011200202.

It is a happy number.

It is a super-2 number, since 2×2020021102021122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317087562 + ... + 317723977.

It is an arithmetic number, because the mean of its divisors is an integer number (6163385241860).

Almost surely, 2202002110202112 is an apocalyptic number.

202002110202112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

202002110202112 is an abundant number, since it is smaller than the sum of its proper divisors (241761627211808).

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

202002110202112 is a wasteful number, since it uses less digits than its factorization.

202002110202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634811679 (or 634811665 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202002110202112 its reverse (211202011200202), we get a palindrome (413204121402314).

The spelling of 202002110202112 in words is "two hundred two trillion, two billion, one hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 128 176 226 256 352 452 704 904 1243 1408 1808 2486 2816 3616 4972 7232 9944 14464 19888 28928 39776 79552 159104 318208 634811539 1269623078 2539246156 5078492312 6982926929 10156984624 13965853858 20313969248 27931707716 40627938496 55863415432 71733703907 81255876992 111726830864 143467407814 162511753984 223453661728 286934815628 446907323456 573869631256 789070742977 893814646912 1147739262512 1578141485954 1787629293824 2295478525024 3156282971908 4590957050048 6312565943816 9181914100096 12625131887632 18363828200192 25250263775264 50500527550528 101001055101056 202002110202112