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13022132321312 = 2523118719017841
BaseRepresentation
bin1011110101111111001110…
…0100100011110000100000
31201002220101210100221110122
42331133303210203300200
53201323311333240222
643410141321015412
72512550402256452
oct275376344436040
951086353327418
1013022132321312
114170723233334
121563939924568
13735c9c05962a
143303bb5ac2d2
15178b07701a42
hexbd7f3923c20

13022132321312 has 96 divisors (see below), whose sum is σ = 26792027627904. Its totient is φ = 6218662912000.

The previous prime is 13022132321293. The next prime is 13022132321321. The reversal of 13022132321312 is 21312323122031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1660770512 + ... + 1660778352.

It is an arithmetic number, because the mean of its divisors is an integer number (279083621124).

Almost surely, 213022132321312 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 13022132321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13396013813952).

13022132321312 is an abundant number, since it is smaller than the sum of its proper divisors (13769895306592).

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

13022132321312 is a wasteful number, since it uses less digits than its factorization.

13022132321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10962 (or 10954 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13022132321312 its reverse (21312323122031), we get a palindrome (34334455443343).

The spelling of 13022132321312 in words is "thirteen trillion, twenty-two billion, one hundred thirty-two million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1187 1901 2374 3802 4748 7604 7841 9496 15208 15682 18992 27301 30416 31364 37984 43723 54602 60832 62728 87446 109204 125456 174892 180343 218408 250912 349784 360686 436816 699568 721372 873632 1399136 1442744 2256487 2885488 4512974 5770976 9025948 9307267 14905741 18051896 18614534 29811482 36103792 37229068 51899201 59622964 72207584 74458136 103798402 119245928 148916272 207596804 214067141 238491856 297832544 342832043 415193608 428134282 476983712 685664086 830387216 856268564 1371328172 1660774432 1712537128 2742656344 3425074256 5485312688 6850148512 10970625376 17693114567 35386229134 70772458268 141544916536 283089833072 406941635041 566179666144 813883270082 1627766540164 3255533080328 6511066160656 13022132321312