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10312311231 = 3317293167373
BaseRepresentation
bin10011001101010100…
…10110000110111111
3222121200102200121000
421212222112012333
5132104422424411
64423140341343
7513356125215
oct114652260677
928550380530
1010312311231
114412038072
121bb96a4853
13c84608b11
146db81ccb5
154054ee956
hex266a961bf

10312311231 has 128 divisors (see below), whose sum is σ = 17578598400. Its totient is φ = 5939619840.

The previous prime is 10312311143. The next prime is 10312311241. The reversal of 10312311231 is 13211321301.

10312311231 is a `hidden beast` number, since 10 + 312 + 311 + 2 + 31 = 666.

It is not a de Polignac number, because 10312311231 - 214 = 10312294847 is a prime.

It is a super-2 number, since 2×103123112312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312311241) 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 127 ways as a sum of consecutive naturals, for example, 27646761 + ... + 27647133.

It is an arithmetic number, because the mean of its divisors is an integer number (137332800).

Almost surely, 210312311231 is an apocalyptic number.

10312311231 is a deficient number, since it is larger than the sum of its proper divisors (7266287169).

10312311231 is a wasteful number, since it uses less digits than its factorization.

10312311231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

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

Adding to 10312311231 its reverse (13211321301), we get a palindrome (23523632532).

The spelling of 10312311231 in words is "ten billion, three hundred twelve million, three hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 9 17 27 29 31 51 67 87 93 153 201 261 279 373 459 493 527 603 783 837 899 1119 1139 1479 1581 1809 1943 2077 2697 3357 3417 4437 4743 5829 6231 6341 8091 10071 10251 10817 11563 13311 14229 15283 17487 18693 19023 24273 24991 30753 32451 33031 34689 35309 45849 52461 56079 57069 60233 74973 97353 99093 104067 105927 137547 171207 180699 183889 196571 224919 292059 297279 312201 317781 335327 412641 424847 542097 551667 589713 674757 724739 774721 891837 953343 1005981 1023961 1274541 1626291 1655001 1769139 2174217 2324163 3017943 3071883 3823623 4965003 5307417 5700559 6522651 6972489 9053829 9215649 11470869 12320563 13170257 17101677 19567953 20917467 22466909 27646947 36961689 39510771 51305031 67400727 110885067 118532313 153915093 202202181 332655201 355596939 381937453 606606543 1145812359 3437437077 10312311231