Search a number
-
+
1312022331232 = 252342119872131
BaseRepresentation
bin10011000101111010100…
…111111111111101100000
311122102120002111011021021
4103011322213333331200
5132444010204044412
62442422411535224
7163535064543634
oct23057247777540
94572502434237
101312022331232
11466475446628
1219234175a514
1396952a7a4c2
144770613adc4
15241de607607
hex1317a9fff60

1312022331232 has 96 divisors (see below), whose sum is σ = 2704380666624. Its totient is φ = 625389811200.

The previous prime is 1312022331199. The next prime is 1312022331239. The reversal of 1312022331232 is 2321332202131.

It is a junction number, because it is equal to n+sod(n) for n = 1312022331197 and 1312022331206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312022331239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615682807 + ... + 615684937.

It is an arithmetic number, because the mean of its divisors is an integer number (28170631944).

Almost surely, 21312022331232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312022331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352190333312).

1312022331232 is an abundant number, since it is smaller than the sum of its proper divisors (1392358335392).

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

1312022331232 is a wasteful number, since it uses less digits than its factorization.

1312022331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1312022331232 its reverse (2321332202131), we get a palindrome (3633354533363).

The spelling of 1312022331232 in words is "one trillion, three hundred twelve billion, twenty-two million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 421 736 842 1684 1987 2131 3368 3974 4262 6736 7948 8524 9683 13472 15896 17048 19366 31792 34096 38732 45701 49013 63584 68192 77464 91402 98026 154928 182804 196052 309856 365608 392104 731216 784208 836527 897151 1462432 1568416 1673054 1794302 3346108 3588604 4234297 6692216 7177208 8468594 13384432 14354416 16937188 19240121 20634473 26768864 28708832 33874376 38480242 41268946 67748752 76960484 82537892 97388831 135497504 153920968 165075784 194777662 307841936 330151568 389555324 615683872 660303136 779110648 1558221296 1782639037 3116442592 3565278074 7130556148 14261112296 28522224592 41000697851 57044449184 82001395702 164002791404 328005582808 656011165616 1312022331232