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314032211031 = 371110958721247
BaseRepresentation
bin1001001000111011100…
…01110100010001010111
31010000120110000012112210
410210131301310101113
520121114221223111
6400133040044503
731455003515520
oct4443561642127
91100513005483
10314032211031
111111a8aa6120
1250a40903733
13237c8007c66
14112b0a01847
15827e5560a6
hex491dc74457

314032211031 has 64 divisors (see below), whose sum is σ = 527739125760. Its totient is φ = 161354021760.

The previous prime is 314032211029. The next prime is 314032211063. The reversal of 314032211031 is 130112230413.

It is not a de Polignac number, because 314032211031 - 21 = 314032211029 is a prime.

It is a super-2 number, since 2×3140322110312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 314032210989 and 314032211007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314032211531) 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 63 ways as a sum of consecutive naturals, for example, 14769450 + ... + 14790696.

It is an arithmetic number, because the mean of its divisors is an integer number (8245923840).

Almost surely, 2314032211031 is an apocalyptic number.

314032211031 is a deficient number, since it is larger than the sum of its proper divisors (213706914729).

314032211031 is a wasteful number, since it uses less digits than its factorization.

314032211031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21964.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 314032211031 its reverse (130112230413), we get a palindrome (444144441444).

The spelling of 314032211031 in words is "three hundred fourteen billion, thirty-two million, two hundred eleven thousand, thirty-one".

Divisors: 1 3 7 11 21 33 77 109 231 327 587 763 1199 1761 2289 3597 4109 6457 8393 12327 19371 21247 25179 45199 63741 63983 135597 148729 191949 233717 446187 447881 701151 703813 1343643 1636019 2111439 2315923 4908057 4926691 6947769 12471989 14780073 16211461 25475153 37415967 48634383 76425459 87303923 137191879 178326071 261911769 411575637 534978213 960343153 1359446801 2881029459 4078340403 9516127607 14953914811 28548382821 44861744433 104677403677 314032211031