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200133311101331 = 1728944317564177
BaseRepresentation
bin101101100000010100101010…
…111010100111100110010011
3222020121120001112222200022212
4231200110222322213212103
5202212441010120220311
61545351550205022335
760104104006061516
oct5540245272474623
9866546045880285
10200133311101331
1158850073719963
121a543214b549ab
13878964b13196a
14375c70ab58d7d
151820dd7949c8b
hexb6052aea7993

200133311101331 has 24 divisors (see below), whose sum is σ = 215472417734160. Its totient is φ = 185823923597312.

The previous prime is 200133311101307. The next prime is 200133311101417. The reversal of 200133311101331 is 133101113331002.

200133311101331 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 200133311101331 - 214 = 200133311084947 is a prime.

It is a super-2 number, since 2×2001333111013312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 200133311101297 and 200133311101306.

It is not an unprimeable number, because it can be changed into a prime (200133311101301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2612315 + ... + 20176491.

It is an arithmetic number, because the mean of its divisors is an integer number (8978017405590).

Almost surely, 2200133311101331 is an apocalyptic number.

200133311101331 is a deficient number, since it is larger than the sum of its proper divisors (15339106632829).

200133311101331 is a wasteful number, since it uses less digits than its factorization.

200133311101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17564743 (or 17564726 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 200133311101331 its reverse (133101113331002), we get a palindrome (333234424432333).

The spelling of 200133311101331 in words is "two hundred trillion, one hundred thirty-three billion, three hundred eleven million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 17 89 289 443 1513 7531 25721 39427 128027 670259 11394403 17564177 298591009 1563211753 5076047153 7780930411 26574599801 132275816987 451768196617 692502806579 2248688888779 11772547711843 200133311101331