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113181107776 = 2611238232
BaseRepresentation
bin110100101101000011…
…1101010011001000000
3101211010210012222212121
41221122013222121000
53323243330422101
6123554503534024
711114506354102
oct1513207523100
9354123188777
10113181107776
1143aaa86a500
1219b2815a314
13a8995825b9
145699891572
152e265130a1
hex1a5a1ea640

113181107776 has 63 divisors (see below), whose sum is σ = 246932113323. Its totient is φ = 51432501120.

The previous prime is 113181107773. The next prime is 113181107777. The reversal of 113181107776 is 677701181311.

The square root of 113181107776 is 336424.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113181107773) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29603401 + ... + 29607223.

Almost surely, 2113181107776 is an apocalyptic number.

113181107776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113181107776 is the 336424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113181107776

113181107776 is an abundant number, since it is smaller than the sum of its proper divisors (133751005547).

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

113181107776 is an frugal number, since it uses more digits than its factorization.

113181107776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7680 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 43.

The spelling of 113181107776 in words is "one hundred thirteen billion, one hundred eighty-one million, one hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3823 3872 7646 7744 15292 30584 42053 61168 84106 122336 168212 244672 336424 462583 672848 925166 1345696 1850332 2691392 3700664 7401328 14615329 14802656 29230658 29605312 58461316 116922632 160768619 233845264 321537238 467690528 643074476 935381056 1286148952 1768454809 2572297904 3536909618 5144595808 7073819236 10289191616 14147638472 28295276944 56590553888 113181107776