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10235132536112 = 24112831209716987
BaseRepresentation
bin1001010011110000110101…
…1100000110010100110000
31100020110122222120200121222
42110330031130012110300
52320143022412123422
633433542135204212
72104315061050301
oct224741534062460
940213588520558
1010235132536112
11329677153a630
121193779216668
13593226c942b3
1427555117a7a8
1512b38c8c7842
hex94f0d706530

10235132536112 has 80 divisors (see below), whose sum is σ = 21712864013952. Its totient is φ = 4635237519360.

The previous prime is 10235132536081. The next prime is 10235132536117. The reversal of 10235132536112 is 21163523153201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10235132536117) 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 15 ways as a sum of consecutive naturals, for example, 602518883 + ... + 602535869.

Almost surely, 210235132536112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10235132536112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856432006976).

10235132536112 is an abundant number, since it is smaller than the sum of its proper divisors (11477731477840).

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

10235132536112 is a wasteful number, since it uses less digits than its factorization.

10235132536112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29386 (or 29380 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

Adding to 10235132536112 its reverse (21163523153201), we get a palindrome (31398655689313).

The spelling of 10235132536112 in words is "ten trillion, two hundred thirty-five billion, one hundred thirty-two million, five hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 283 566 1132 2264 3113 4528 6226 12097 12452 16987 24194 24904 33974 48388 49808 67948 96776 133067 135896 186857 193552 266134 271792 373714 532268 747428 1064536 1494856 2129072 2989712 3423451 4807321 6846902 9614642 13693804 19229284 27387608 37657961 38458568 52880531 54775216 75315922 76917136 105761062 150631844 205491739 211522124 301263688 410983478 423044248 602527376 821966956 846088496 1643933912 2260409129 3287867824 4520818258 9041636516 18083273032 36166546064 58154162137 116308324274 232616648548 465233297096 639695783507 930466594192 1279391567014 2558783134028 5117566268056 10235132536112