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31214204112303 = 3383109317491821
BaseRepresentation
bin1110001100011100111111…
…00011000100110110101111
311002112001022112221112111000
413012032133203010312233
513042403142223043203
6150215335111131343
76401103035143332
oct706163743046657
9132461275845430
1031214204112303
119a44962517a33
123601631973b53
1314556436ccb24
1479cac0120619
15391e469b54a3
hex1c639f8c4daf

31214204112303 has 128 divisors (see below), whose sum is σ = 47533085107200. Its totient is φ = 20239842470400.

The previous prime is 31214204112281. The next prime is 31214204112317. The reversal of 31214204112303 is 30321140241213.

31214204112303 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 420 + 4 + 1 + 1 + 230 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-31214204112303 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31214204112103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38019736633 + ... + 38019737453.

It is an arithmetic number, because the mean of its divisors is an integer number (371352227400).

Almost surely, 231214204112303 is an apocalyptic number.

31214204112303 is a deficient number, since it is larger than the sum of its proper divisors (16318880994897).

31214204112303 is a wasteful number, since it uses less digits than its factorization.

31214204112303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31214204112303 its reverse (30321140241213), we get a palindrome (61535344353516).

The spelling of 31214204112303 in words is "thirty-one trillion, two hundred fourteen billion, two hundred four million, one hundred twelve thousand, three hundred three".

Divisors: 1 3 9 27 83 109 249 317 327 491 747 821 951 981 1473 2241 2463 2853 2943 4419 7389 8559 9047 13257 22167 26311 27141 34553 40753 53519 68143 78933 81423 89489 103659 122259 155647 160557 204429 236799 244269 260257 268467 310977 366777 403111 466941 481671 613287 710397 780771 805401 932931 1100331 1209333 1400823 1445013 1839861 2342313 2416203 2867899 3627999 4202469 4442077 7026939 7427587 8603697 10883997 12918701 13326231 16965523 21601331 22282761 25811091 28368013 33458213 38756103 39978693 43939099 50896569 64803993 66848283 77433273 85104039 100374639 116268309 119936079 127786187 131817297 152689707 194411979 200544849 255312117 301123917 348804927 383358561 395451891 458069121 583235937 765936351 903371751 1150075683 1186355673 1408138409 2354545079 3450227049 3646945217 4224415227 7063635237 10606253521 10940835651 12673245681 13928694383 21190905711 31818760563 32822506953 38019737043 41786083149 63572717133 95456281689 98467520859 125358249447 286368845067 376074748341 1156081633789 3468244901367 10404734704101 31214204112303