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4213311400233 = 331372716511329
BaseRepresentation
bin111101010011111100111…
…011011110100100101001
3112220210021220201120201000
4331103330323132210221
51023012330204301413
612543322445345213
7613254532665135
oct75237473364451
915823256646630
104213311400233
111384945498891
12580699568209
1324740cb793a0
14107cd528a3c5
15748e7d93073
hex3d4fcede929

4213311400233 has 32 divisors (see below), whose sum is σ = 6731339014400. Its totient is φ = 2589240411648.

The previous prime is 4213311400213. The next prime is 4213311400289. The reversal of 4213311400233 is 3320041133124.

It is a happy number.

4213311400233 is a `hidden beast` number, since 4 + 2 + 13 + 3 + 11 + 400 + 233 = 666.

It is not a de Polignac number, because 4213311400233 - 212 = 4213311396137 is a prime.

It is a super-2 number, since 2×42133114002332 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4213311400197 and 4213311400206.

It is not an unprimeable number, because it can be changed into a prime (4213311400213) 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, 8000488 + ... + 8510841.

It is an arithmetic number, because the mean of its divisors is an integer number (210354344200).

Almost surely, 24213311400233 is an apocalyptic number.

It is an amenable number.

4213311400233 is a deficient number, since it is larger than the sum of its proper divisors (2518027614167).

4213311400233 is a wasteful number, since it uses less digits than its factorization.

4213311400233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16512078 (or 16512072 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 4213311400233 its reverse (3320041133124), we get a palindrome (7533352533357).

The spelling of 4213311400233 in words is "four trillion, two hundred thirteen billion, three hundred eleven million, four hundred thousand, two hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 727 2181 6543 9451 19629 28353 85059 255177 16511329 49533987 148601961 214647277 445805883 643941831 1931825493 5795476479 12003736183 36011208549 108033625647 156048570379 324100876941 468145711137 1404437133411 4213311400233