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130562572100 = 225217557313781
BaseRepresentation
bin111100110011000100…
…0101011111101000100
3110111000010111212110112
41321212020223331010
54114343004301400
6135551333012152
712301314360152
oct1714610537504
9414003455415
10130562572100
115040a193954
1221379184058
13c4095c752c
1464680ac3d2
1535e243b835
hex1e6622bf44

130562572100 has 72 divisors (see below), whose sum is σ = 300062310408. Its totient is φ = 49140582400.

The previous prime is 130562572027. The next prime is 130562572163. The reversal of 130562572100 is 1275265031.

It can be written as a sum of positive squares in 12 ways, for example, as 46473011776 + 84089560324 = 215576^2 + 289982^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9467210 + ... + 9480990.

It is an arithmetic number, because the mean of its divisors is an integer number (4167532089).

Almost surely, 2130562572100 is an apocalyptic number.

130562572100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130562572100 is an abundant number, since it is smaller than the sum of its proper divisors (169499738308).

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

130562572100 is a wasteful number, since it uses less digits than its factorization.

130562572100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19385 (or 19378 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 130562572100 in words is "one hundred thirty billion, five hundred sixty-two million, five hundred seventy-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 5573 11146 13781 22292 27562 27865 55124 55730 68905 94741 111460 137810 139325 189482 234277 275620 278650 344525 378964 468554 473705 557300 689050 937108 947410 1171385 1378100 1894820 2342770 2368525 4685540 4737050 5856925 9474100 11713850 23427700 76801513 153603026 307206052 384007565 768015130 1305625721 1536030260 1920037825 2611251442 3840075650 5222502884 6528128605 7680151300 13056257210 26112514420 32640643025 65281286050 130562572100