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130448149532100 = 2232523807132
BaseRepresentation
bin11101101010010001010011…
…100111010100110111000100
3122002212201110211102022122100
4131222101103213110313010
5114044230302240011400
61141235015205432100
736322365515654211
oct3552212347246704
9562781424368570
10130448149532100
11386238276a8764
121276988540b630
1357a3291482b0a
14242da1cddcb08
1510133c8160100
hex76a4539d4dc4

130448149532100 has 81 divisors (see below), whose sum is σ = 408883551583143. Its totient is φ = 34786081837440.

The previous prime is 130448149532089. The next prime is 130448149532111. The reversal of 130448149532100 is 1235941844031.

The square root of 130448149532100 is 11421390.

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

130448149532100 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 8 + 1 + 4 + 9 + 532 + 100 = 666.

It is an interprime number because it is at equal distance from previous prime (130448149532089) and next prime (130448149532111).

It can be written as a sum of positive squares in 4 ways, for example, as 99895187844 + 130348254344256 = 316062^2 + 11417016^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 342451344 + ... + 342832056.

Almost surely, 2130448149532100 is an apocalyptic number.

130448149532100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130448149532100 is the 11421390-th square number.

It is an amenable number.

130448149532100 is an abundant number, since it is smaller than the sum of its proper divisors (278435402051043).

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

130448149532100 is an frugal number, since it uses more digits than its factorization.

130448149532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761446 (or 380723 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 130448149532100 in words is "one hundred thirty trillion, four hundred forty-eight billion, one hundred forty-nine million, five hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 380713 761426 1142139 1522852 1903565 2284278 3426417 3807130 4568556 5710695 6852834 7614260 9517825 11421390 13705668 17132085 19035650 22842780 28553475 34264170 38071300 57106950 68528340 85660425 114213900 171320850 342641700 144942388369 289884776738 434827165107 579769553476 724711941845 869654330214 1304481495321 1449423883690 1739308660428 2174135825535 2608962990642 2898847767380 3623559709225 4348271651070 5217925981284 6522407476605 7247119418450 8696543302140 10870679127675 13044814953210 14494238836900 21741358255350 26089629906420 32612037383025 43482716510700 65224074766050 130448149532100