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125313052032 = 27327432831277
BaseRepresentation
bin111010010110100111…
…1010110110110000000
3102222110021121121201100
41310231033112312000
54023120120131112
6133322405334400
712024242240010
oct1645517266600
9388407547640
10125313052032
1149165a50813
1220353107400
13ba80b6383c
1460cac17c40
1533d66482dc
hex1d2d3d6d80

125313052032 has 384 divisors, whose sum is σ = 423521429760. Its totient is φ = 34820222976.

The previous prime is 125313052001. The next prime is 125313052057. The reversal of 125313052032 is 230250313521.

It is a happy number.

125313052032 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 130 + 520 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1253130520322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125313051987 and 125313052005.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 98130178 + ... + 98131454.

It is an arithmetic number, because the mean of its divisors is an integer number (1102920390).

Almost surely, 2125313052032 is an apocalyptic number.

125313052032 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 125313052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211760714880).

125313052032 is an abundant number, since it is smaller than the sum of its proper divisors (298208377728).

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

125313052032 is a wasteful number, since it uses less digits than its factorization.

125313052032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 125313052032 its reverse (230250313521), we get a palindrome (355563365553).

The spelling of 125313052032 in words is "one hundred twenty-five billion, three hundred thirteen million, fifty-two thousand, thirty-two".