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130023198720 = 212325705421
BaseRepresentation
bin111100100010111111…
…1001001000000000000
3110102121112120212021200
41321011333021000000
54112241414324340
6135422024221200
712252044645052
oct1710577110000
9412545525250
10130023198720
1150162784728
122124860a800
13c351937b9c
1464165c78d2
1535aede7330
hex1e45fc9000

130023198720 has 156 divisors (see below), whose sum is σ = 450692704956. Its totient is φ = 34672803840.

The previous prime is 130023198653. The next prime is 130023198727. The reversal of 130023198720 is 27891320031.

It can be written as a sum of positive squares in 2 ways, for example, as 28807593984 + 101215604736 = 169728^2 + 318144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130023198727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168391 + ... + 537030.

It is an arithmetic number, because the mean of its divisors is an integer number (2889055801).

Almost surely, 2130023198720 is an apocalyptic number.

130023198720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130023198720 is an abundant number, since it is smaller than the sum of its proper divisors (320669506236).

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

130023198720 is an equidigital number, since it uses as much as digits as its factorization.

130023198720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705456 (or 705431 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 130023198720 in words is "one hundred thirty billion, twenty-three million, one hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4096 4608 5120 5760 6144 7680 9216 10240 11520 12288 15360 18432 20480 23040 30720 36864 46080 61440 92160 184320 705421 1410842 2116263 2821684 3527105 4232526 5643368 6348789 7054210 8465052 10581315 11286736 12697578 14108420 16930104 21162630 22573472 25395156 28216840 31743945 33860208 42325260 45146944 50790312 56433680 63487890 67720416 84650520 90293888 101580624 112867360 126975780 135440832 169301040 180587776 203161248 225734720 253951560 270881664 338602080 361175552 406322496 451469440 507903120 541763328 677204160 722351104 812644992 902938880 1015806240 1083526656 1354408320 1444702208 1625289984 1805877760 2031612480 2167053312 2708816640 2889404416 3250579968 3611755520 4063224960 4334106624 5417633280 6501159936 7223511040 8126449920 8668213248 10835266560 13002319872 14447022080 16252899840 21670533120 26004639744 32505799680 43341066240 65011599360 130023198720