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1312532330112 = 27321139350981
BaseRepresentation
bin10011000110011001000…
…001011111011010000000
311122110212122010210012200
4103012121001133122000
5133001031234030422
62442545150553200
7163553526504063
oct23063101373200
94573778123180
101312532330112
11466707312303
12192464508800
1396a046237a3
1447753b768da
152421e2982ac
hex1319905f680

1312532330112 has 48 divisors (see below), whose sum is σ = 3776948505330. Its totient is φ = 437510776320.

The previous prime is 1312532330047. The next prime is 1312532330129. The reversal of 1312532330112 is 2110332352131.

1312532330112 is a `hidden beast` number, since 1 + 3 + 1 + 25 + 323 + 301 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 852490276416 + 460042053696 = 923304^2 + 678264^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13125323301122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 569674339 + ... + 569676642.

Almost surely, 21312532330112 is an apocalyptic number.

1312532330112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312532330112 is an abundant number, since it is smaller than the sum of its proper divisors (2464416175218).

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

1312532330112 is a wasteful number, since it uses less digits than its factorization.

1312532330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139351001 (or 1139350986 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1312532330112 its reverse (2110332352131), we get a palindrome (3422864682243).

The spelling of 1312532330112 in words is "one trillion, three hundred twelve billion, five hundred thirty-two million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1139350981 2278701962 3418052943 4557403924 6836105886 9114807848 10254158829 13672211772 18229615696 20508317658 27344423544 36459231392 41016635316 54688847088 72918462784 82033270632 109377694176 145836925568 164066541264 218755388352 328133082528 437510776704 656266165056 1312532330112