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10343131020 = 2232557461839
BaseRepresentation
bin10011010000111111…
…11010011110001100
3222200211102111101200
421220133322132030
5132140320143040
64430201105500
7514212106635
oct115037723614
928624374350
1010343131020
114428478472
122007a88290
13c8ab09c91
1470196288c
1540808b630
hex2687fa78c

10343131020 has 36 divisors (see below), whose sum is σ = 31374164640. Its totient is φ = 2758168224.

The previous prime is 10343131013. The next prime is 10343131081. The reversal of 10343131020 is 2013134301.

10343131020 is a `hidden beast` number, since 10 + 343 + 1 + 310 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10343130984 and 10343131002.

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 11 ways as a sum of consecutive naturals, for example, 28730740 + ... + 28731099.

Almost surely, 210343131020 is an apocalyptic number.

10343131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10343131020 is an abundant number, since it is smaller than the sum of its proper divisors (21031033620).

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

10343131020 is a wasteful number, since it uses less digits than its factorization.

10343131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57461854 (or 57461849 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10343131020 its reverse (2013134301), we get a palindrome (12356265321).

The spelling of 10343131020 in words is "ten billion, three hundred forty-three million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 57461839 114923678 172385517 229847356 287309195 344771034 517156551 574618390 689542068 861927585 1034313102 1149236780 1723855170 2068626204 2585782755 3447710340 5171565510 10343131020