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314213011233 = 311192234326669
BaseRepresentation
bin1001001001010001000…
…11100000111100100001
31010001001001012210210120
410210220203200330201
520122002012324413
6400203015150453
731462330346022
oct4445043407441
91101031183716
10314213011233
11111291064a80
1250a91375429
13238265cc124
14112caa26c49
15829036b723
hex49288e0f21

314213011233 has 96 divisors (see below), whose sum is σ = 515054453760. Its totient is φ = 168546026880.

The previous prime is 314213011207. The next prime is 314213011237. The reversal of 314213011233 is 332110312413.

It is not a de Polignac number, because 314213011233 - 26 = 314213011169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314213011237) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11768623 + ... + 11795291.

It is an arithmetic number, because the mean of its divisors is an integer number (5365150560).

Almost surely, 2314213011233 is an apocalyptic number.

314213011233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314213011233 is a deficient number, since it is larger than the sum of its proper divisors (200841442527).

314213011233 is a wasteful number, since it uses less digits than its factorization.

314213011233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26787 (or 26768 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 314213011233 its reverse (332110312413), we get a palindrome (646323323646).

The spelling of 314213011233 in words is "three hundred fourteen billion, two hundred thirteen million, eleven thousand, two hundred thirty-three".

Divisors: 1 3 11 19 23 33 43 57 69 129 209 253 361 437 473 627 759 817 989 1083 1311 1419 2451 2967 3971 4807 8303 8987 10879 11913 14421 15523 18791 24909 26669 26961 32637 46569 56373 80007 91333 170753 206701 273999 293359 357029 506711 512259 613387 620103 880077 1071087 1146767 1520133 1840161 3440301 3927319 5573821 6747257 9627509 11654353 11781957 12614437 16721463 20241771 21788573 26375641 28882527 34963059 37843311 65365719 79126923 105902599 128197883 221432707 239674303 290132051 317707797 384593649 413982887 501137179 664298121 719022909 870396153 1241948661 1503411537 2435759777 4553811757 5512508969 7307279331 9521606401 13661435271 16537526907 28564819203 104737670411 314213011233