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130979571921 = 321149972
BaseRepresentation
bin111100111111011111…
…1011010100011010001
3110112002012011122200100
41321332333122203101
54121221232300141
6140100550443013
712314536664112
oct1717677324321
9415065148610
10130979571921
1150603610000
1221474963469
13c474b0b7a3
1464a761a209
153618d5c0b6
hex1e7efda8d1

130979571921 has 45 divisors (see below), whose sum is σ = 208319640555. Its totient is φ = 79301938320.

The previous prime is 130979571889. The next prime is 130979571923. The reversal of 130979571921 is 129175979031.

The square root of 130979571921 is 361911.

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

It can be written as a sum of positive squares in only one way, i.e., 112744850625 + 18234721296 = 335775^2 + 135036^2 .

It is not a de Polignac number, because 130979571921 - 25 = 130979571889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130979571923) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 131373195 + ... + 131374191.

Almost surely, 2130979571921 is an apocalyptic number.

130979571921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130979571921 is the 361911-st square number.

130979571921 is the 180956-th centered octagonal number.

It is an amenable number.

130979571921 is a deficient number, since it is larger than the sum of its proper divisors (77340068634).

130979571921 is an frugal number, since it uses more digits than its factorization.

130979571921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 54.

The spelling of 130979571921 in words is "one hundred thirty billion, nine hundred seventy-nine million, five hundred seventy-one thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 997 1089 1331 2991 3993 8973 10967 11979 14641 32901 43923 98703 120637 131769 361911 994009 1085733 1327007 2982027 3981021 8946081 10934099 11943063 14597077 32802297 43791231 98406891 120275089 131373693 360825267 1082475801 1323025979 3969077937 11907233811 14553285769 43659857307 130979571921