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10131103411400 = 235289569163113
BaseRepresentation
bin1001001101101101010011…
…0100011110110011001000
31022212112011000102121100002
42103123110310132303020
52311441444433131100
633314055322102132
72063643121063436
oct223332464366310
938775130377302
1010131103411400
1132566388384a4
12117758604a948
135864888066ba
142704c2d83d56
151287eeab32d5
hex936d4d1ecc8

10131103411400 has 48 divisors (see below), whose sum is σ = 23819476320900. Its totient is φ = 4006908308480.

The previous prime is 10131103411337. The next prime is 10131103411427. The reversal of 10131103411400 is 411430113101.

10131103411400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2340428783716 + 7790674627684 = 1529846^2 + 2791178^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284563757 + ... + 284599356.

Almost surely, 210131103411400 is an apocalyptic number.

10131103411400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131103411400 is an abundant number, since it is smaller than the sum of its proper divisors (13688372909500).

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

10131103411400 is a wasteful number, since it uses less digits than its factorization.

10131103411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569163218 (or 569163209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10131103411400 its reverse (411430113101), we get a palindrome (10542533524501).

The spelling of 10131103411400 in words is "ten trillion, one hundred thirty-one billion, one hundred three million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 17800 569163113 1138326226 2276652452 2845815565 4553304904 5691631130 11383262260 14229077825 22766524520 28458155650 50655517057 56916311300 101311034114 113832622600 202622068228 253277585285 405244136456 506555170570 1013110341140 1266387926425 2026220682280 2532775852850 5065551705700 10131103411400