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1320111312 = 2431323591559
BaseRepresentation
bin100111010101111…
…0100110011010000
310102000000121021120
41032223310303100
510200422030222
6334554322240
744466522012
oct11653646320
93360017246
101320111312
11618194193
1230a129380
13180659c70
14c74781b2
157ad6415c
hex4eaf4cd0

1320111312 has 160 divisors (see below), whose sum is σ = 3899750400. Its totient is φ = 381697536.

The previous prime is 1320111301. The next prime is 1320111329. The reversal of 1320111312 is 2131110231.

It is a happy number.

It is a super-2 number, since 2×13201113122 = 3485387752140722688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1320111291 and 1320111300.

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, 845989 + ... + 847547.

It is an arithmetic number, because the mean of its divisors is an integer number (24373440).

Almost surely, 21320111312 is an apocalyptic number.

1320111312 is a gapful number since it is divisible by the number (12) 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 1320111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949875200).

1320111312 is an abundant number, since it is smaller than the sum of its proper divisors (2579639088).

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

1320111312 is a wasteful number, since it uses less digits than its factorization.

1320111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1320111312 is about 36333.3360978592. The cubic root of 1320111312 is about 1096.9921442050.

Adding to 1320111312 its reverse (2131110231), we get a palindrome (3451221543).

The spelling of 1320111312 in words is "one billion, three hundred twenty million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 59 69 78 92 104 118 138 156 177 184 208 236 276 299 312 354 368 472 552 598 624 708 767 897 944 1104 1196 1357 1416 1534 1559 1794 2301 2392 2714 2832 3068 3118 3588 4071 4602 4677 4784 5428 6136 6236 7176 8142 9204 9354 10856 12272 12472 14352 16284 17641 18408 18708 20267 21712 24944 32568 35282 35857 36816 37416 40534 52923 60801 65136 70564 71714 74832 81068 91981 105846 107571 121602 141128 143428 162136 183962 211692 215142 243204 275943 282256 286856 324272 367924 423384 430284 466141 486408 551886 573712 735848 846768 860568 932282 972816 1103772 1195753 1398423 1471696 1721136 1864564 2115563 2207544 2391506 2796846 3587259 3729128 4231126 4415088 4783012 5593692 6346689 7174518 7458256 8462252 9566024 11187384 12693378 14349036 16924504 19132048 22374768 25386756 27502319 28698072 33849008 50773512 55004638 57396144 82506957 101547024 110009276 165013914 220018552 330027828 440037104 660055656 1320111312