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216312323513 = 112132231932383
BaseRepresentation
bin1100100101110100111…
…0000001110110111001
3202200100011210120121112
43021131032001312321
512021001423323023
6243212243450105
721425264261336
oct3113516016671
9680304716545
10216312323513
1183812738300
1235b0a686935
13175239c9500
14a68071398d
1559605b0478
hex325d381db9

216312323513 has 72 divisors (see below), whose sum is σ = 270160563456. Its totient is φ = 172656506880.

The previous prime is 216312323501. The next prime is 216312323519. The reversal of 216312323513 is 315323213612.

It is not a de Polignac number, because 216312323513 - 210 = 216312322489 is a prime.

It is a super-2 number, since 2×2163123235132 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 216312323513.

It is not an unprimeable number, because it can be changed into a prime (216312323519) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90771920 + ... + 90774302.

It is an arithmetic number, because the mean of its divisors is an integer number (3752230048).

Almost surely, 2216312323513 is an apocalyptic number.

216312323513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

216312323513 is a deficient number, since it is larger than the sum of its proper divisors (53848239943).

216312323513 is a wasteful number, since it uses less digits than its factorization.

216312323513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2623 counting only the distinct ones).

The product of its digits is 19440, while the sum is 32.

The spelling of 216312323513 in words is "two hundred sixteen billion, three hundred twelve million, three hundred twenty-three thousand, five hundred thirteen".

Divisors: 1 11 13 23 121 143 169 193 253 299 1573 1859 2123 2383 2509 2783 3289 3887 4439 20449 23353 26213 27599 30979 32617 36179 42757 48829 54809 57707 288343 303589 340769 358787 402727 459919 470327 537119 602899 634777 712517 750191 3748459 3946657 4429997 5059109 5978947 6631889 6982547 7837687 8252101 9262721 10578137 48729967 55650199 65768417 77726311 86214557 90773111 101889931 116359507 137515781 723452587 854989421 1120789241 1279954577 1512673591 1787705153 9404883631 16639409501 19664756683 216312323513