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214332120431 = 1113343206251
BaseRepresentation
bin1100011110011100110…
…0001001110101101111
3202111020011200211122122
43013213030021311233
512002423010323211
6242243545103155
721325230651452
oct3074714116557
9674204624578
10214332120431
1182996992430
1235657487abb
1317299694000
14a53372d499
15589680d6db
hex31e7309d6f

214332120431 has 32 divisors (see below), whose sum is σ = 259184513280. Its totient is φ = 175675500000.

The previous prime is 214332120391. The next prime is 214332120437. The reversal of 214332120431 is 134021233412.

It is not a de Polignac number, because 214332120431 - 26 = 214332120367 is a prime.

It is a super-2 number, since 2×2143321204312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214332120431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214332120437) 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, 936056 + ... + 1142306.

It is an arithmetic number, because the mean of its divisors is an integer number (8099516040).

Almost surely, 2214332120431 is an apocalyptic number.

214332120431 is a deficient number, since it is larger than the sum of its proper divisors (44852392849).

214332120431 is a wasteful number, since it uses less digits than its factorization.

214332120431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206344 (or 206318 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 214332120431 its reverse (134021233412), we get a palindrome (348353353843).

The spelling of 214332120431 in words is "two hundred fourteen billion, three hundred thirty-two million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 11 13 43 143 169 473 559 1859 2197 6149 7267 24167 79937 94471 206251 1039181 2268761 2681263 8868793 29493893 34856419 97556723 115294309 383420609 453133447 1268237399 1498826017 4984467917 16487086187 19484738221 214332120431