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200233130131032 = 233107211403368833
BaseRepresentation
bin101101100001110001101000…
…100101111111111001011000
3222020222002201010002202222220
4231201301220211333321120
5202221104422303143112
61545505455145144040
760114236424611025
oct5541615045777130
9866862633082886
10200233130131032
115888943698a329
121a55a63218b020
138795b982ba98b
143763499b4c54c
1518237cad3898c
hexb61c6897fe58

200233130131032 has 64 divisors (see below), whose sum is σ = 505264929425280. Its totient is φ = 66120105449472.

The previous prime is 200233130130989. The next prime is 200233130131039. The reversal of 200233130131032 is 230131031332002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200233130130993 and 200233130131011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200233130131039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542698488 + ... + 543067320.

It is an arithmetic number, because the mean of its divisors is an integer number (7894764522270).

Almost surely, 2200233130131032 is an apocalyptic number.

It is an amenable number.

200233130131032 is an abundant number, since it is smaller than the sum of its proper divisors (305031799294248).

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

200233130131032 is a wasteful number, since it uses less digits than its factorization.

200233130131032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580352 (or 580348 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 200233130131032 its reverse (230131031332002), we get a palindrome (430364161463034).

The spelling of 200233130131032 in words is "two hundred trillion, two hundred thirty-three billion, one hundred thirty million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 2568 211403 368833 422806 634209 737666 845612 1106499 1268418 1475332 1691224 2212998 2536836 2950664 4425996 5073672 8851992 22620121 39465131 45240242 67860363 78930262 90480484 118395393 135720726 157860524 180960968 236790786 271441452 315721048 473581572 542882904 947163144 77972402699 155944805398 233917208097 311889610796 467834416194 623779221592 935668832388 1871337664776 8343047088793 16686094177586 25029141266379 33372188355172 50058282532758 66744376710344 100116565065516 200233130131032