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103011012131232 = 2537115113117977
BaseRepresentation
bin10111011011000000011110…
…110010010011100110100000
3111111201202102112212000220010
4113123000132302103212200
5102000213023101144412
61003030334454244520
730461204624026242
oct2733003662234640
9444652375760803
10103011012131232
112a9057a7947057
12b678283656740
134562b8725a11a
141b61a8c456092
15bd9845b9c33c
hex5db01ec939a0

103011012131232 has 48 divisors (see below), whose sum is σ = 274212412592832. Its totient is φ = 33853384266240.

The previous prime is 103011012131219. The next prime is 103011012131257. The reversal of 103011012131232 is 232131210110301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1030110121312322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103011012131199 and 103011012131208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7556552173 + ... + 7556565804.

It is an arithmetic number, because the mean of its divisors is an integer number (5712758595684).

Almost surely, 2103011012131232 is an apocalyptic number.

103011012131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103011012131232 is an abundant number, since it is smaller than the sum of its proper divisors (171201400461600).

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

103011012131232 is a wasteful number, since it uses less digits than its factorization.

103011012131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15113118061 (or 15113118053 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 103011012131232 its reverse (232131210110301), we get a palindrome (335142222241533).

The spelling of 103011012131232 in words is "one hundred three trillion, eleven billion, twelve million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 15113117977 30226235954 45339353931 60452471908 90678707862 120904943816 181357415724 241809887632 362714831448 483619775264 725429662896 1073031376367 1450859325792 2146062752734 3219094129101 4292125505468 6438188258202 8584251010936 12876376516404 17168502021872 25752753032808 34337004043744 51505506065616 103011012131232