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1231301311320 = 2335151515313187
BaseRepresentation
bin10001111010101111010…
…001101111101101011000
311100201012111122110220010
4101322233101233231120
5130133201113430240
62341352500201520
7154646536313313
oct21725721575530
94321174573803
101231301311320
11435212543623
1217a7743992a0
138c15a4568b2
144384971597a
1522067bb3280
hex11eaf46fb58

1231301311320 has 128 divisors (see below), whose sum is σ = 3719370493440. Its totient is φ = 326084505600.

The previous prime is 1231301311319. The next prime is 1231301311403. The reversal of 1231301311320 is 231131031321.

It is a happy number.

It is a super-2 number, since 2×12313013113202 (a number of 25 digits) contains 22 as substring.

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, 93365767 + ... + 93378953.

It is an arithmetic number, because the mean of its divisors is an integer number (29057581980).

Almost surely, 21231301311320 is an apocalyptic number.

1231301311320 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 1231301311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859685246720).

1231301311320 is an abundant number, since it is smaller than the sum of its proper divisors (2488069182120).

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

1231301311320 is a wasteful number, since it uses less digits than its factorization.

1231301311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18505 (or 18501 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1231301311320 its reverse (231131031321), we get a palindrome (1462432342641).

The spelling of 1231301311320 in words is "one trillion, two hundred thirty-one billion, three hundred one million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 5153 6040 9060 10306 13187 15459 18120 20612 25765 26374 30918 39561 41224 51530 52748 61836 65935 77295 79122 103060 105496 123672 131870 154590 158244 197805 206120 263740 309180 316488 395610 527480 618360 778103 791220 1556206 1582440 1991237 2334309 3112412 3890515 3982474 4668618 5973711 6224824 7781030 7964948 9337236 9956185 11671545 11947422 15562060 15929896 18674472 19912370 23343090 23894844 29868555 31124120 39824740 46686180 47789688 59737110 67952611 79649480 93372360 119474220 135905222 203857833 238948440 271810444 339763055 407715666 543620888 679526110 815431332 1019289165 1359052220 1630862664 2038578330 2718104440 4077156660 8154313320 10260844261 20521688522 30782532783 41043377044 51304221305 61565065566 82086754088 102608442610 123130131132 153912663915 205216885220 246260262264 307825327830 410433770440 615650655660 1231301311320