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31194127120 = 2451329994353
BaseRepresentation
bin11101000011010100…
…001001101100010000
32222111222020211211111
4131003110021230100
51002341144031440
622155210223104
72153006464012
oct350324115420
988458224744
1031194127120
11122582a9452
126066a24a94
132c318b13b0
14171cc8a1b2
15c288a44ea
hex743509b10

31194127120 has 40 divisors (see below), whose sum is σ = 78105297816. Its totient is φ = 11517831168.

The previous prime is 31194127091. The next prime is 31194127123. The reversal of 31194127120 is 2172149113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 676832256 + 30517294864 = 26016^2 + 174692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (31194127123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14996137 + ... + 14998216.

Almost surely, 231194127120 is an apocalyptic number.

It is an amenable number.

31194127120 is an abundant number, since it is smaller than the sum of its proper divisors (46911170696).

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

31194127120 is a wasteful number, since it uses less digits than its factorization.

31194127120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29994379 (or 29994373 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 31194127120 in words is "thirty-one billion, one hundred ninety-four million, one hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 29994353 59988706 119977412 149971765 239954824 299943530 389926589 479909648 599887060 779853178 1199774120 1559706356 1949632945 2399548240 3119412712 3899265890 6238825424 7798531780 15597063560 31194127120