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12101023011231 = 337115820597889
BaseRepresentation
bin1011000000010111110100…
…1011011001000110011111
31120211211212002200210122000
42300011331023121012133
53041230343342324411
641423044435453343
72356161426312030
oct260057513310637
946754762623560
1012101023011231
113946019020430
121435314157253
1369a1771353cb
142db99a85aa87
1515eb96d84956
hexb017d2d919f

12101023011231 has 32 divisors (see below), whose sum is σ = 22351095897600. Its totient is φ = 6286245719040.

The previous prime is 12101023011191. The next prime is 12101023011257. The reversal of 12101023011231 is 13211032010121.

12101023011231 is a `hidden beast` number, since 121 + 0 + 10 + 2 + 301 + 1 + 231 = 666.

It is not a de Polignac number, because 12101023011231 - 26 = 12101023011167 is a prime.

It is a super-2 number, since 2×121010230112312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101023011331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2910296866 + ... + 2910301023.

It is an arithmetic number, because the mean of its divisors is an integer number (698471746800).

Almost surely, 212101023011231 is an apocalyptic number.

12101023011231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12101023011231 is a deficient number, since it is larger than the sum of its proper divisors (10250072886369).

12101023011231 is a wasteful number, since it uses less digits than its factorization.

12101023011231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820597916 (or 5820597910 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12101023011231 its reverse (13211032010121), we get a palindrome (25312055021352).

The spelling of 12101023011231 in words is "twelve trillion, one hundred one billion, twenty-three million, eleven thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 5820597889 17461793667 40744185223 52385381001 64026576779 122232555669 157156143003 192079730337 366697667007 448186037453 576239191011 1100093001021 1344558112359 1728717573033 4033674337077 12101023011231