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200125133011224 = 233217933317466069
BaseRepresentation
bin101101100000001101000011…
…011101101011100100011000
3222020120202221121110122201200
4231200031003131223210120
5202212322233022324344
61545344114504114200
760103364233336311
oct5540150335534430
9866522847418650
10200125133011224
1158847657373803
121a541712165960
138788946a360a5
14375c172973608
151820aa99c2069
hexb6034376b918

200125133011224 has 96 divisors (see below), whose sum is σ = 545051061126000. Its totient is φ = 66333571796736.

The previous prime is 200125133011213. The next prime is 200125133011241. The reversal of 200125133011224 is 422110331521002.

It is a happy number.

200125133011224 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 2 + 513 + 30 + 112 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429156462 + ... + 429622530.

Almost surely, 2200125133011224 is an apocalyptic number.

200125133011224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200125133011224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272525530563000).

200125133011224 is an abundant number, since it is smaller than the sum of its proper divisors (344925928114776).

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

200125133011224 is a wasteful number, since it uses less digits than its factorization.

200125133011224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499577 (or 499570 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 200125133011224 its reverse (422110331521002), we get a palindrome (622235464532226).

The spelling of 200125133011224 in words is "two hundred trillion, one hundred twenty-five billion, one hundred thirty-three million, eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 179 358 537 716 1074 1432 1611 2148 3222 4296 6444 12888 33317 66634 99951 133268 199902 266536 299853 399804 466069 599706 799608 932138 1199412 1398207 1864276 2398824 2796414 3728552 4194621 5592828 5963743 8389242 11185656 11927486 16778484 17891229 23854972 33556968 35782458 47709944 53673687 71564916 83426351 107347374 143129832 166852702 214694748 250279053 333705404 429389496 500558106 667410808 750837159 1001116212 1501674318 2002232424 3003348636 6006697272 15528020873 31056041746 46584062619 62112083492 93168125238 124224166984 139752187857 186336250476 279504375714 372672500952 559008751428 1118017502856 2779515736267 5559031472534 8338547208801 11118062945068 16677094417602 22236125890136 25015641626403 33354188835204 50031283252806 66708377670408 100062566505612 200125133011224