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101298339076 = 22112172232372
BaseRepresentation
bin101111001010111011…
…0011111110100000100
3100200110122200210122011
41132111312133310010
53124424333322301
6114311422544004
710214160450424
oct1362566376404
9320418623564
10101298339076
1139a622a9500
1217770738004
1397247b570c
144c8d66c484
15297d1eca51
hex1795d9fd04

101298339076 has 243 divisors, whose sum is σ = 222385919007. Its totient is φ = 40331681280.

The previous prime is 101298339047. The next prime is 101298339091. The reversal of 101298339076 is 670933892101.

The square root of 101298339076 is 318274.

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 47121121476 + 54177217600 = 217074^2 + 232760^2 .

It is a super-2 number, since 2×1012983390762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2737792930 + ... + 2737792966.

Almost surely, 2101298339076 is an apocalyptic number.

101298339076 is the 318274-th square number.

It is an amenable number.

101298339076 is an abundant number, since it is smaller than the sum of its proper divisors (121087579931).

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

101298339076 is a wasteful number, since it uses less digits than its factorization.

101298339076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

Multiplying 101298339076 by its sum of digits (49), we get a square (4963618614724 = 22279182).

The spelling of 101298339076 in words is "one hundred one billion, two hundred ninety-eight million, three hundred thirty-nine thousand, seventy-six".