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132310313012031 = 371117536217102253
BaseRepresentation
bin11110000101010111100101…
…001101010000101100111111
3122100110202001012112110101120
4132011113211031100230333
5114320233010112341111
61145222304011442023
736604050620246520
oct3605274515205477
9570422035473346
10132310313012031
1139181541410950
1212a0a760156313
1358a9a6943ac2b
142495bd3712847
151046a65322406
hex7855e5350b3f

132310313012031 has 128 divisors (see below), whose sum is σ = 237316815968256. Its totient is φ = 63458147450880.

The previous prime is 132310313011999. The next prime is 132310313012069. The reversal of 132310313012031 is 130210313013231.

It is not a de Polignac number, because 132310313012031 - 25 = 132310313011999 is a prime.

It is a super-2 number, since 2×1323103130120312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132310313011992 and 132310313012010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132310313013031) 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, 1293899301 + ... + 1294001553.

It is an arithmetic number, because the mean of its divisors is an integer number (1854037624752).

Almost surely, 2132310313012031 is an apocalyptic number.

132310313012031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132310313012031 is a deficient number, since it is larger than the sum of its proper divisors (105006502956225).

132310313012031 is a wasteful number, since it uses less digits than its factorization.

132310313012031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108561.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 132310313012031 its reverse (130210313013231), we get a palindrome (262520626025262).

The spelling of 132310313012031 in words is "one hundred thirty-two trillion, three hundred ten billion, three hundred thirteen million, twelve thousand, thirty-one".

Divisors: 1 3 7 11 17 21 33 51 53 77 119 159 187 231 357 371 561 583 901 1113 1309 1749 2703 3927 4081 6217 6307 9911 12243 18651 18921 29733 43519 68387 69377 102253 105689 130557 205161 208131 306759 317067 329501 478709 715771 739823 988503 1124783 1162579 1436127 1738301 2147313 2219469 2306507 3374349 3487737 3624511 5214903 5419409 5601517 6919521 7873481 8138053 10873533 12168107 16258227 16804551 19121311 23620443 24414159 25371577 36504321 37935863 39210619 57363933 59613499 61616687 76114731 92129953 113807589 117631857 133849177 178840497 184850061 276389859 401547531 417294493 431316809 635706901 644909671 1013429483 1251883479 1293950427 1907120703 1934729013 3040288449 4449948307 6992775911 7094006381 10807017317 13349844921 20978327733 21282019143 32421051951 33692465753 48949431377 75649121219 101077397259 118877190487 146848294131 226947363657 235847260271 356631571461 370617123283 572771917801 707541780813 832140333409 1111851369849 1718315753403 2496421000227 2594319862981 4009403424607 6300491095811 7782959588943 12028210273821 18901473287433 44103437670677 132310313012031