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313021021131 = 347131710124733
BaseRepresentation
bin1001000111000011000…
…00011011101111001011
31002220221222021102210000
410203201200123233023
520112031340134011
6355444434454043
731420644531150
oct4434140335713
91086858242700
10313021021131
1111082a22a195
12507ba134323
1323696680740
14112165c0227
1582208b4356
hex48e181bbcb

313021021131 has 160 divisors (see below), whose sum is σ = 615418328448. Its totient is φ = 153852825600.

The previous prime is 313021021127. The next prime is 313021021151. The reversal of 313021021131 is 131120120313.

It is not a de Polignac number, because 313021021131 - 22 = 313021021127 is a prime.

It is a super-2 number, since 2×3130210211312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313021021111) 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 159 ways as a sum of consecutive naturals, for example, 12643641 + ... + 12668373.

Almost surely, 2313021021131 is an apocalyptic number.

313021021131 is a deficient number, since it is larger than the sum of its proper divisors (302397307317).

313021021131 is a wasteful number, since it uses less digits than its factorization.

313021021131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24883 (or 24874 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313021021131 its reverse (131120120313), we get a palindrome (444141141444).

The spelling of 313021021131 in words is "three hundred thirteen billion, twenty-one million, twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 13 17 21 27 39 51 63 81 91 101 117 119 153 189 221 273 303 351 357 459 567 663 707 819 909 1053 1071 1313 1377 1547 1717 1989 2121 2457 2727 3213 3939 4641 5151 5967 6363 7371 8181 9191 9639 11817 12019 13923 15453 17901 19089 22321 24733 27573 35451 36057 41769 46359 57267 66963 74199 82719 106353 108171 125307 139077 156247 173131 200889 222597 248157 321529 324513 420461 468741 519393 602667 667791 744471 964587 973539 1261383 1406223 1558179 1808001 2003373 2250703 2498033 2893761 2943227 3784149 4218669 4674537 5465993 6752109 7494099 8681283 8829681 11352447 12656007 14023611 16397979 17486231 20256327 22482297 26043849 26489043 32474429 34057341 38261951 42466561 49193937 52458693 60768981 67446891 79467129 97423287 114785853 127399683 147581811 157376079 182306943 202340673 227321003 238401387 292269861 297265927 344357559 382199049 442745433 472128237 552065293 681963009 876809583 891797781 1033072677 1146597147 1416384711 1656195879 2045889027 2630428749 2675393343 3099218031 3439791441 3864457051 4968587637 6137667081 8026180029 11593371153 14905762911 18413001243 24078540087 34780113459 44717288733 104340340377 313021021131