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101045151376 = 2413261132
BaseRepresentation
bin101111000011011000…
…0101010011010010000
3100122211000021112101221
41132012300222122100
53123420024321001
6114230340134424
710204664421031
oct1360660523220
9318730245357
10101045151376
1139942398874
12176bb997414
1396b41c8100
144c67ba2a88
152965d891a1
hex1786c2a690

101045151376 has 45 divisors (see below), whose sum is σ = 212027711259. Its totient is φ = 46628594688.

The previous prime is 101045151353. The next prime is 101045151391. The reversal of 101045151376 is 673151540101.

The square root of 101045151376 is 317876.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11093144976 + 89952006400 = 105324^2 + 299920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16526496 + ... + 16532608.

Almost surely, 2101045151376 is an apocalyptic number.

101045151376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101045151376 is the 317876-th square number.

It is an amenable number.

101045151376 is an abundant number, since it is smaller than the sum of its proper divisors (110982559883).

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

101045151376 is an frugal number, since it uses more digits than its factorization.

101045151376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12260 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

Adding to 101045151376 its reverse (673151540101), we get a palindrome (774196691477).

The spelling of 101045151376 in words is "one hundred one billion, forty-five million, one hundred fifty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 6113 12226 24452 48904 79469 97808 158938 317876 635752 1033097 1271504 2066194 4132388 8264776 16529552 37368769 74737538 149475076 298950152 485793997 597900304 971587994 1943175988 3886351976 6315321961 7772703952 12630643922 25261287844 50522575688 101045151376