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234054005031 = 33711731542193
BaseRepresentation
bin1101100111111010110…
…1001011000100100111
3211101010121220101022000
43121332231023010213
512313320311130111
6255304541340343
722624035134340
oct3317655130447
9741117811260
10234054005031
1190297425210
12394402676b3
13190c0564002
14b484adb0c7
15614ce3ec56
hex367eb4b127

234054005031 has 64 divisors (see below), whose sum is σ = 438229847040. Its totient is φ = 119920849920.

The previous prime is 234054005027. The next prime is 234054005051. The reversal of 234054005031 is 130500450432.

234054005031 is a `hidden beast` number, since 2 + 3 + 40 + 540 + 0 + 50 + 31 = 666.

It is not a de Polignac number, because 234054005031 - 22 = 234054005027 is a prime.

It is a super-2 number, since 2×2340540050312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 234054004986 and 234054005004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234054005051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619330 + ... + 922863.

It is an arithmetic number, because the mean of its divisors is an integer number (6847341360).

Almost surely, 2234054005031 is an apocalyptic number.

234054005031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

234054005031 is a deficient number, since it is larger than the sum of its proper divisors (204175842009).

234054005031 is a wasteful number, since it uses less digits than its factorization.

234054005031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542293 (or 1542287 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 234054005031 its reverse (130500450432), we get a palindrome (364554455463).

The spelling of 234054005031 in words is "two hundred thirty-four billion, fifty-four million, five thousand, thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 73 77 99 189 219 231 297 511 657 693 803 1533 1971 2079 2409 4599 5621 7227 13797 16863 21681 50589 151767 1542193 4626579 10795351 13879737 16964123 32386053 41639211 50892369 97158159 112580089 118748861 152677107 291474477 337740267 356246583 458031321 788060623 1013220801 1068739749 1238380979 2364181869 3039662403 3206219247 3715142937 7092545607 8668666853 11145428811 21277636821 26006000559 33436286433 78018001677 234054005031