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10320212331 = 32112135991217
BaseRepresentation
bin10011001110010000…
…11111000101101011
3222122020022002212100
421213020133011223
5132113433243311
64424021544443
7513513233412
oct114710370553
928566262770
1010320212331
114416544300
122000275123
13c86144220
146dc8b8479
15406060a56
hex26721f16b

10320212331 has 72 divisors (see below), whose sum is σ = 17689744800. Its totient is φ = 5759170560.

The previous prime is 10320212293. The next prime is 10320212333. The reversal of 10320212331 is 13321202301.

10320212331 is a `hidden beast` number, since 1 + 0 + 320 + 2 + 12 + 331 = 666.

It is not a de Polignac number, because 10320212331 - 223 = 10311823723 is a prime.

It is a super-2 number, since 2×103202123312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10320212333) 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, 8479435 + ... + 8480651.

It is an arithmetic number, because the mean of its divisors is an integer number (245690900).

Almost surely, 210320212331 is an apocalyptic number.

10320212331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10320212331 is a deficient number, since it is larger than the sum of its proper divisors (7369532469).

10320212331 is a wasteful number, since it uses less digits than its factorization.

10320212331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10320212331 its reverse (13321202301), we get a palindrome (23641414632).

The spelling of 10320212331 in words is "ten billion, three hundred twenty million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 599 1089 1217 1287 1573 1797 3651 4719 5391 6589 7787 10953 13387 14157 15821 19767 23361 40161 47463 59301 70083 72479 85657 120483 142389 147257 174031 217437 256971 441771 522093 652311 728983 770913 942227 1325313 1566279 1914341 2186949 2826681 5743023 6560847 8018813 8480043 9476779 17229069 24056439 28430337 72169317 85291011 88206943 104244569 264620829 312733707 793862487 938201121 1146690259 3440070777 10320212331