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200130200131104 = 25321879369822527
BaseRepresentation
bin101101100000010001110001…
…011111001101011000100000
3222020121021000202011000110100
4231200101301133031120200
5202212413122213143404
61545350313354102400
760103633632213465
oct5540216137153040
9866537022130410
10200130200131104
1158849817654991
121a5426a711aa00
138789273765589
14375c4d390766c
151820ca4785d39
hexb604717cd620

200130200131104 has 72 divisors (see below), whose sum is σ = 569423142812160. Its totient is φ = 66674563567488.

The previous prime is 200130200131039. The next prime is 200130200131241. The reversal of 200130200131104 is 401131002031002.

200130200131104 is a `hidden beast` number, since 20 + 0 + 130 + 200 + 1 + 311 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184370112 + ... + 185452415.

It is an arithmetic number, because the mean of its divisors is an integer number (7908654761280).

Almost surely, 2200130200131104 is an apocalyptic number.

200130200131104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200130200131104 is an abundant number, since it is smaller than the sum of its proper divisors (369292942681056).

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

200130200131104 is a wasteful number, since it uses less digits than its factorization.

200130200131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369824422 (or 369824411 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200130200131104 its reverse (401131002031002), we get a palindrome (601261202162106).

The spelling of 200130200131104 in words is "two hundred trillion, one hundred thirty billion, two hundred million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1879 3758 5637 7516 11274 15032 16911 22548 30064 33822 45096 60128 67644 90192 135288 180384 270576 541152 369822527 739645054 1109467581 1479290108 2218935162 2958580216 3328402743 4437870324 5917160432 6656805486 8875740648 11834320864 13313610972 17751481296 26627221944 35502962592 53254443888 106508887776 694896528233 1389793056466 2084689584699 2779586112932 4169379169398 5559172225864 6254068754097 8338758338796 11118344451728 12508137508194 16677516677592 22236688903456 25016275016388 33355033355184 50032550032776 66710066710368 100065100065552 200130200131104