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130013020404240 = 24354261127134691
BaseRepresentation
bin11101100011111100000011…
…111001011011101000010000
3122001100010022221012100120220
4131203330003321123220100
5114020113131210413430
61140303053530233040
736246062563260621
oct3543740371335020
9561303287170526
10130013020404240
1138476237649696
12126b9489585780
135771237c4c2ac
142416941519a48
151006e0c6cb110
hex763f03e5ba10

130013020404240 has 80 divisors (see below), whose sum is σ = 403134954634176. Its totient is φ = 34662001881600.

The previous prime is 130013020404217. The next prime is 130013020404251. The reversal of 130013020404240 is 42404020310031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130013020404240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62544706 + ... + 64589985.

Almost surely, 2130013020404240 is an apocalyptic number.

130013020404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130013020404240 is an abundant number, since it is smaller than the sum of its proper divisors (273121934229936).

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

130013020404240 is a wasteful number, since it uses less digits than its factorization.

130013020404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127138968 (or 127138962 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 130013020404240 its reverse (42404020310031), we get a palindrome (172417040714271).

The spelling of 130013020404240 in words is "one hundred thirty trillion, thirteen billion, twenty million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4261 8522 12783 17044 21305 25566 34088 42610 51132 63915 68176 85220 102264 127830 170440 204528 255660 340880 511320 1022640 127134691 254269382 381404073 508538764 635673455 762808146 1017077528 1271346910 1525616292 1907020365 2034155056 2542693820 3051232584 3814040730 5085387640 6102465168 7628081460 10170775280 15256162920 30512325840 541720918351 1083441836702 1625162755053 2166883673404 2708604591755 3250325510106 4333767346808 5417209183510 6500651020212 8125813775265 8667534693616 10834418367020 13001302040424 16251627550530 21668836734040 26002604080848 32503255101060 43337673468080 65006510202120 130013020404240