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1135120315400 = 23525675601577
BaseRepresentation
bin10000100001001010011…
…100010111010000001000
311000111221111010122100222
4100201022130113100020
5122044211300043100
62225244515445212
7145003224324431
oct20411234272010
94014844118328
101135120315400
113a8446909845
12163bb15b6808
138306cc065a6
143cd23972488
151e7d8d9a485
hex1084a717408

1135120315400 has 24 divisors (see below), whose sum is σ = 2639154733770. Its totient is φ = 454048126080.

The previous prime is 1135120315349. The next prime is 1135120315409. The reversal of 1135120315400 is 45130215311.

It can be written as a sum of positive squares in 3 ways, for example, as 1042142889316 + 92977426084 = 1020854^2 + 304922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1135120315400.

It is not an unprimeable number, because it can be changed into a prime (1135120315409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2837800589 + ... + 2837800988.

Almost surely, 21135120315400 is an apocalyptic number.

1135120315400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135120315400 is an abundant number, since it is smaller than the sum of its proper divisors (1504034418370).

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

1135120315400 is a wasteful number, since it uses less digits than its factorization.

1135120315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675601593 (or 5675601584 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 1135120315400 in words is "one trillion, one hundred thirty-five billion, one hundred twenty million, three hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5675601577 11351203154 22702406308 28378007885 45404812616 56756015770 113512031540 141890039425 227024063080 283780078850 567560157700 1135120315400