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31312430019 = 3213283248033
BaseRepresentation
bin11101001010010111…
…011100001111000011
32222211012212020220100
4131022113130033003
51003111440230034
622215034013443
72155644156303
oct351227341703
988735766810
1031312430019
1112309061142
12609a577283
132c50262a00
141730883603
15c33e72099
hex74a5dc3c3

31312430019 has 36 divisors (see below), whose sum is σ = 49566122424. Its totient is φ = 19036952064.

The previous prime is 31312430003. The next prime is 31312430053. The reversal of 31312430019 is 91003421313.

31312430019 is a `hidden beast` number, since 31 + 312 + 4 + 300 + 19 = 666.

It is not a de Polignac number, because 31312430019 - 24 = 31312430003 is a prime.

It is a super-2 number, since 2×313124300192 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31312429974 and 31312430001.

It is not an unprimeable number, because it can be changed into a prime (31312430119) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2227 + ... + 250259.

It is an arithmetic number, because the mean of its divisors is an integer number (1376836734).

Almost surely, 231312430019 is an apocalyptic number.

31312430019 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

31312430019 is a deficient number, since it is larger than the sum of its proper divisors (18253692405).

31312430019 is a wasteful number, since it uses less digits than its factorization.

31312430019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248148 (or 248132 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 31312430019 in words is "thirty-one billion, three hundred twelve million, four hundred thirty thousand, nineteen".

Divisors: 1 3 9 13 39 83 117 169 249 507 747 1079 1521 3237 9711 14027 42081 126243 248033 744099 2232297 3224429 9673287 20586739 29019861 41917577 61760217 125752731 185280651 267627607 377258193 802882821 2408648463 3479158891 10437476673 31312430019