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130031220230120 = 23511240166997393
BaseRepresentation
bin11101100100001101000000…
…101100010000011111101000
3122001101212022022101022012002
4131210031000230100133220
5114020412414334330440
61140315303511510132
736250305566243516
oct3544150054203750
9561355268338162
10130031220230120
1138482a26a05200
1212700b08688348
135772b786a5831
14241778a6c14b6
1510076253a7115
hex764340b107e8

130031220230120 has 96 divisors (see below), whose sum is σ = 322387440084360. Its totient is φ = 47166163968000.

The previous prime is 130031220230117. The next prime is 130031220230123. The reversal of 130031220230120 is 21032022130031.

It is an interprime number because it is at equal distance from previous prime (130031220230117) and next prime (130031220230123).

It can be written as a sum of positive squares in 4 ways, for example, as 99779042190916 + 30252178039204 = 9988946^2 + 5500198^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130031220230092 and 130031220230101.

It is not an unprimeable number, because it can be changed into a prime (130031220230123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31557857 + ... + 35439536.

Almost surely, 2130031220230120 is an apocalyptic number.

130031220230120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130031220230120 is an abundant number, since it is smaller than the sum of its proper divisors (192356219854240).

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

130031220230120 is a wasteful number, since it uses less digits than its factorization.

130031220230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66997827 (or 66997812 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130031220230120 its reverse (21032022130031), we get a palindrome (151063242360151).

The spelling of 130031220230120 in words is "one hundred thirty trillion, thirty-one billion, two hundred twenty million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 401 440 484 605 802 968 1210 1604 2005 2420 3208 4010 4411 4840 8020 8822 16040 17644 22055 35288 44110 48521 88220 97042 176440 194084 242605 388168 485210 970420 1940840 66997393 133994786 267989572 334986965 535979144 669973930 736971323 1339947860 1473942646 2679895720 2947885292 3684856615 5895770584 7369713230 8106684553 14739426460 16213369106 26865954593 29478852920 32426738212 40533422765 53731909186 64853476424 81066845530 107463818372 134329772965 162133691060 214927636744 268659545930 295525500523 324267382120 537319091860 591051001046 1074638183720 1182102002092 1477627502615 2364204004184 2955255005230 3250780505753 5910510010460 6501561011506 11821020020920 13003122023012 16253902528765 26006244046024 32507805057530 65015610115060 130031220230120