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13121115372 = 22331761791483
BaseRepresentation
bin11000011100001010…
…00101010011101100
31020212102200201112000
430032011011103230
5203333001142442
610005555012300
7643103432451
oct141605052354
936772621460
1013121115372
115623589202
12266229a090
1313114c94c1
148c6895828
1551bdc7d4c
hex30e1454ec

13121115372 has 192 divisors, whose sum is σ = 37097625600. Its totient is φ = 3994997760.

The previous prime is 13121115353. The next prime is 13121115419. The reversal of 13121115372 is 27351112131.

13121115372 is a `hidden beast` number, since 1 + 3 + 12 + 111 + 537 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8846943 + ... + 8848425.

It is an arithmetic number, because the mean of its divisors is an integer number (193216800).

Almost surely, 213121115372 is an apocalyptic number.

13121115372 is a gapful number since it is divisible by the number (12) 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 13121115372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18548812800).

13121115372 is an abundant number, since it is smaller than the sum of its proper divisors (23976510228).

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

13121115372 is a wasteful number, since it uses less digits than its factorization.

13121115372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1645 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The spelling of 13121115372 in words is "thirteen billion, one hundred twenty-one million, one hundred fifteen thousand, three hundred seventy-two".