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100244332314 = 23271933411583
BaseRepresentation
bin101110101011100000…
…1110001111100011010
3100120202012101201011200
41131113001301330122
53120300022113224
6114015051535030
710146101523420
oct1352701617432
9316665351150
10100244332314
1139571348635
121751775a476
1395b7319489
144bcd6a3110
15291a8ee5c9
hex1757071f1a

100244332314 has 48 divisors (see below), whose sum is σ = 248353078272. Its totient is φ = 28626351264.

The previous prime is 100244332297. The next prime is 100244332319. The reversal of 100244332314 is 413233442001.

100244332314 is a `hidden beast` number, since 10 + 0 + 2 + 4 + 4 + 332 + 314 = 666.

It is a super-2 number, since 2×1002443323142 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100244332319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37767 + ... + 449349.

It is an arithmetic number, because the mean of its divisors is an integer number (5174022464).

Almost surely, 2100244332314 is an apocalyptic number.

100244332314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100244332314 is an abundant number, since it is smaller than the sum of its proper divisors (148108745958).

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

100244332314 is a wasteful number, since it uses less digits than its factorization.

100244332314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413531 (or 413528 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 100244332314 its reverse (413233442001), we get a palindrome (513477774315).

The spelling of 100244332314 in words is "one hundred billion, two hundred forty-four million, three hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1933 3866 5799 11598 13531 17397 27062 34794 40593 81186 121779 243558 411583 823166 1234749 2469498 2881081 3704247 5762162 7408494 8643243 17286486 25929729 51859458 795589939 1591179878 2386769817 4773539634 5569129573 7160309451 11138259146 14320618902 16707388719 33414777438 50122166157 100244332314