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200400130120311 = 33111129975971379
BaseRepresentation
bin101101100100001101001010…
…100100011001101001110111
3222021120001202122001020002000
4231210031022210121221313
5202231323431302322221
61550114314314350343
760132301020240162
oct5544151244315167
9867501678036060
10200400130120311
1158943244039aa0
121a586a7a12b3b3
1387a8860858694
14376b5bd1b8ad9
151827d020dbe26
hexb6434a919a77

200400130120311 has 32 divisors (see below), whose sum is σ = 323881918675200. Its totient is φ = 121453529127840.

The previous prime is 200400130120247. The next prime is 200400130120321. The reversal of 200400130120311 is 113021031004002.

200400130120311 is a `hidden beast` number, since 2 + 0 + 0 + 400 + 130 + 120 + 3 + 11 = 666.

200400130120311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200400130120311 - 26 = 200400130120247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200400130120321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30574420 + ... + 36545798.

It is an arithmetic number, because the mean of its divisors is an integer number (10121309958600).

Almost surely, 2200400130120311 is an apocalyptic number.

200400130120311 is a deficient number, since it is larger than the sum of its proper divisors (123481788554889).

200400130120311 is a wasteful number, since it uses less digits than its factorization.

200400130120311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084396 (or 6084390 counting only the distinct ones).

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

Adding to 200400130120311 its reverse (113021031004002), we get a palindrome (313421161124313).

The spelling of 200400130120311 in words is "two hundred trillion, four hundred billion, one hundred thirty million, one hundred twenty thousand, three hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 112997 338991 1016973 1242967 3050919 3728901 5971379 11186703 17914137 33560109 53742411 65685169 161227233 197055507 591166521 1773499563 674747912863 2024243738589 6072731215767 7422227041493 18218193647301 22266681124479 66800043373437 200400130120311