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130222020302100 = 223252178511243157
BaseRepresentation
bin11101100110111110101101…
…010000110001010100010100
3122002002002210111101012222200
4131212332231100301110110
5114032024144144131400
61140543100435324500
736300142026142116
oct3546765520612424
9562062714335880
10130222020302100
1138546937641301
1212731a97150730
135787b649b40cc
142422aca9c73b6
15100c590d0bb00
hex766fad431514

130222020302100 has 108 divisors (see below), whose sum is σ = 432183905076924. Its totient is φ = 32683173719040.

The previous prime is 130222020302069. The next prime is 130222020302107. The reversal of 130222020302100 is 1203020222031.

130222020302100 is a `hidden beast` number, since 1 + 30 + 2 + 220 + 203 + 0 + 210 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 534656364804 + 129687363937296 = 731202^2 + 11388036^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130222020302107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4255606279 + ... + 4255636878.

Almost surely, 2130222020302100 is an apocalyptic number.

130222020302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130222020302100 is an abundant number, since it is smaller than the sum of its proper divisors (301961884774824).

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

130222020302100 is a wasteful number, since it uses less digits than its factorization.

130222020302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8511243194 (or 8511243184 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130222020302100 its reverse (1203020222031), we get a palindrome (131425040524131).

The spelling of 130222020302100 in words is "one hundred thirty trillion, two hundred twenty-two billion, twenty million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 8511243157 17022486314 25533729471 34044972628 42556215785 51067458942 76601188413 85112431570 102134917884 127668647355 144691133669 153202376826 170224863140 212781078925 255337294710 289382267338 306404753652 383005942065 425562157850 434073401007 510674589420 578764534676 638343236775 723455668345 766011884130 851124315700 868146802014 1276686473550 1302220203021 1446911336690 1532023768260 1736293604028 1915029710325 2170367005035 2553372947100 2604440406042 2893822673380 3617278341725 3830059420650 4340734010070 5208880812084 6511101015105 7234556683450 7660118841300 8681468020140 10851835025175 13022202030210 14469113366900 21703670050350 26044404060420 32555505075525 43407340100700 65111010151050 130222020302100