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125340110532 = 2238713311693
BaseRepresentation
bin111010010111011011…
…0100100111011000100
3102222112011112100000000
41310232312210323010
54023144032014112
6133325213321300
712025021234530
oct1645666447304
9388464470000
10125340110532
114917a25220a
1220360196230
13ba866489a0
1460d065cbc0
1533d8be07dc
hex1d2eda4ec4

125340110532 has 432 divisors, whose sum is σ = 418233367552. Its totient is φ = 31971490560.

The previous prime is 125340110503. The next prime is 125340110593. The reversal of 125340110532 is 235011043521.

125340110532 is a `hidden beast` number, since 1 + 253 + 401 + 1 + 0 + 5 + 3 + 2 = 666.

It is a super-3 number, since 3×1253401105323 (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 125340110496 and 125340110505.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74033478 + ... + 74035170.

Almost surely, 2125340110532 is an apocalyptic number.

125340110532 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 125340110532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209116683776).

125340110532 is an abundant number, since it is smaller than the sum of its proper divisors (292893257020).

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

125340110532 is a wasteful number, since it uses less digits than its factorization.

125340110532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 125340110532 in words is "one hundred twenty-five billion, three hundred forty million, one hundred ten thousand, five hundred thirty-two".