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1312232131320 = 2335112371419281
BaseRepresentation
bin10011000110000111001…
…000010100101011111000
311122110002201021002212220
4103012013020110223320
5132444422411200240
62442455304404040
7163543223035665
oct23060710245370
94573081232786
101312232131320
11466572912530
1219239ba76620
1396987386376
1447725d50a6c
1524202c4a5d0
hex13187214af8

1312232131320 has 128 divisors (see below), whose sum is σ = 4296399425280. Its totient is φ = 317981952000.

The previous prime is 1312232131313. The next prime is 1312232131387. The reversal of 1312232131320 is 231312322131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2920080 + ... + 3339360.

It is an arithmetic number, because the mean of its divisors is an integer number (33565620510).

Almost surely, 21312232131320 is an apocalyptic number.

1312232131320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312232131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148199712640).

1312232131320 is an abundant number, since it is smaller than the sum of its proper divisors (2984167293960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312232131320 is a wasteful number, since it uses less digits than its factorization.

1312232131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421677 (or 421673 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1312232131320 its reverse (231312322131), we get a palindrome (1543544453451).

The spelling of 1312232131320 in words is "one trillion, three hundred twelve billion, two hundred thirty-two million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2371 4742 7113 9484 11855 14226 18968 23710 26081 28452 35565 47420 52162 56904 71130 78243 94840 104324 130405 142260 156486 208648 260810 284520 312972 391215 419281 521620 625944 782430 838562 1043240 1257843 1564860 1677124 2096405 2515686 3129720 3354248 4192810 4612091 5031372 6289215 8385620 9224182 10062744 12578430 13836273 16771240 18448364 23060455 25156860 27672546 36896728 46120910 50313720 55345092 69181365 92241820 110690184 138362730 184483640 276725460 553450920 994115251 1988230502 2982345753 3976461004 4970576255 5964691506 7952922008 9941152510 10935267761 11929383012 14911728765 19882305020 21870535522 23858766024 29823457530 32805803283 39764610040 43741071044 54676338805 59646915060 65611606566 87482142088 109352677610 119293830120 131223213132 164029016415 218705355220 262446426264 328058032830 437410710440 656116065660 1312232131320