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213431201397 = 33137136742209
BaseRepresentation
bin1100011011000101111…
…1011010111001110101
3202101220101110102002000
43012301133122321311
511444101341421042
6242014323205513
721264011164401
oct3066137327165
9671811412060
10213431201397
1182574392647
1235445816899
1317184b3821b
14a489c14101
15584269e74c
hex31b17dae75

213431201397 has 32 divisors (see below), whose sum is σ = 318742905600. Its totient is φ = 141142201344.

The previous prime is 213431201329. The next prime is 213431201411. The reversal of 213431201397 is 793102134312.

213431201397 is a `hidden beast` number, since 2 + 1 + 34 + 31 + 201 + 397 = 666.

It is not a de Polignac number, because 213431201397 - 210 = 213431200373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213431201317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5035429 + ... + 5077637.

It is an arithmetic number, because the mean of its divisors is an integer number (9960715800).

Almost surely, 2213431201397 is an apocalyptic number.

213431201397 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

213431201397 is a deficient number, since it is larger than the sum of its proper divisors (105311704203).

213431201397 is a wasteful number, since it uses less digits than its factorization.

213431201397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43722 (or 43716 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 213431201397 in words is "two hundred thirteen billion, four hundred thirty-one million, two hundred one thousand, three hundred ninety-seven".

Divisors: 1 3 9 27 137 411 1233 1367 3699 4101 12303 36909 42209 126627 187279 379881 561837 1139643 1685511 5056533 5782633 17347899 52043697 57699703 156131091 173099109 519297327 1557891981 7904859311 23714577933 71143733799 213431201397