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1100251324432 = 2413109131370451
BaseRepresentation
bin10000000000101100000…
…101101110000000010000
310220011221101222101001001
4100000230011232000100
5121011303314340212
62201240512151344
7142330152643561
oct20005405560020
93804841871031
101100251324432
11394683209837
1215929bb38554
137c9a3b92760
143b376a0a168
151d947a97657
hex1002c16e010

1100251324432 has 80 divisors (see below), whose sum is σ = 2334469959360. Its totient is φ = 499307328000.

The previous prime is 1100251324391. The next prime is 1100251324441. The reversal of 1100251324432 is 2344231520011.

It is a self number, because there is not a number n which added to its sum of digits gives 1100251324432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2784807 + ... + 3155257.

It is an arithmetic number, because the mean of its divisors is an integer number (29180874492).

Almost surely, 21100251324432 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 1100251324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167234979680).

1100251324432 is an abundant number, since it is smaller than the sum of its proper divisors (1234218634928).

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

1100251324432 is a wasteful number, since it uses less digits than its factorization.

1100251324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370712 (or 370706 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 1100251324432 its reverse (2344231520011), we get a palindrome (3444482844443).

The spelling of 1100251324432 in words is "one trillion, one hundred billion, two hundred fifty-one million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 109 131 208 218 262 436 524 872 1048 1417 1703 1744 2096 2834 3406 5668 6812 11336 13624 14279 22672 27248 28558 57116 114232 185627 228464 370451 371254 740902 742508 1481804 1485016 2963608 2970032 4815863 5927216 9631726 19263452 38526904 40379159 48529081 77053808 80758318 97058162 161516636 194116324 323033272 388232648 524929067 630878053 646066544 776465296 1049858134 1261756106 2099716268 2523512212 4199432536 5047024424 5289669829 8398865072 10094048848 10579339658 21158679316 42317358632 68765707777 84634717264 137531415554 275062831108 550125662216 1100251324432