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31303340224101 = 3411293733079901
BaseRepresentation
bin1110001111000011000000…
…11110010110111001100101
311002211120101121021011210000
413013201200132112321211
513100333220044132401
6150324320031251513
76410406644453361
oct707414036267145
9132746347234700
1031303340224101
119a79743531030
123616969379b99
131460b7a56054a
147a31383c22a1
1539441209a186
hex1c7860796e65

31303340224101 has 160 divisors (see below), whose sum is σ = 54220047108480. Its totient is φ = 17815267008000.

The previous prime is 31303340224097. The next prime is 31303340224147. The reversal of 31303340224101 is 10142204330313.

It is a happy number.

31303340224101 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 334 + 0 + 224 + 101 = 666.

It is not a de Polignac number, because 31303340224101 - 22 = 31303340224097 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31303340222101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3161629251 + ... + 3161639151.

It is an arithmetic number, because the mean of its divisors is an integer number (338875294428).

Almost surely, 231303340224101 is an apocalyptic number.

It is an amenable number.

31303340224101 is a deficient number, since it is larger than the sum of its proper divisors (22916706884379).

31303340224101 is a wasteful number, since it uses less digits than its factorization.

31303340224101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297 (or 13288 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31303340224101 its reverse (10142204330313), we get a palindrome (41445544554414).

The spelling of 31303340224101 in words is "thirty-one trillion, three hundred three billion, three hundred forty million, two hundred twenty-four thousand, one hundred one".

Divisors: 1 3 9 11 27 29 33 37 81 87 99 111 261 297 319 333 407 783 891 957 999 1073 1221 2349 2871 2997 3219 3307 3663 8613 9657 9901 9921 10989 11803 25839 28971 29703 29763 32967 35409 36377 86913 89109 89289 95903 106227 108911 109131 122359 267327 267867 287129 287709 318681 326733 327393 366337 367077 801981 861387 863127 956043 980199 982179 1054933 1099011 1101231 1345949 2584161 2589381 2940597 2946537 3158419 3164799 3297033 3303693 3548411 4029707 4037847 7752483 7768143 8821791 9475257 9494397 9891099 9911079 10623773 10645233 12089121 12113541 23257449 28425771 28483191 29673297 31871319 31935699 32742607 36267363 36340623 39032521 85277313 85449573 95613957 95807097 98227821 108802089 109021869 116861503 117097563 255831939 286841871 287421291 294683463 326406267 350584509 351292689 360168677 860525613 884050389 949535603 1051753527 1053878067 1080506031 1211476459 2652151167 2848606809 3155260581 3161634201 3241518093 3634429377 8545820427 9465781743 9724554279 10444891633 10903288131 13326241049 25637461281 29173662837 31334674899 32709864393 35132817311 39978723147 76912383843 94004024697 98129593179 105398451933 119936169441 282012074091 316195355799 359808508323 386460990421 846036222273 948586067397 1079425524969 1159382971263 2845758202191 3478148913789 10434446741367 31303340224101