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10221312231 = 32131631932777
BaseRepresentation
bin10011000010011110…
…01101100011100111
3222101100012110102200
421201033031203213
5131413123442411
64410130105543
7511202502054
oct114117154347
928340173380
1010221312231
114375734189
121b9311b2b3
13c6b7c7260
146cd6d202b
153ec526e56
hex2613cd8e7

10221312231 has 48 divisors (see below), whose sum is σ = 16086042336. Its totient is φ = 6216818688.

The previous prime is 10221312209. The next prime is 10221312253. The reversal of 10221312231 is 13221312201.

10221312231 is a `hidden beast` number, since 102 + 21 + 312 + 231 = 666.

It is an interprime number because it is at equal distance from previous prime (10221312209) and next prime (10221312253).

It is not a de Polignac number, because 10221312231 - 27 = 10221312103 is a prime.

It is a super-2 number, since 2×102213122312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221312331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3679315 + ... + 3682091.

It is an arithmetic number, because the mean of its divisors is an integer number (335125882).

Almost surely, 210221312231 is an apocalyptic number.

10221312231 is a deficient number, since it is larger than the sum of its proper divisors (5864730105).

10221312231 is a wasteful number, since it uses less digits than its factorization.

10221312231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10221312231 its reverse (13221312201), we get a palindrome (23442624432).

The spelling of 10221312231 in words is "ten billion, two hundred twenty-one million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 9 13 39 117 163 193 489 579 1467 1737 2119 2509 2777 6357 7527 8331 19071 22581 24993 31459 36101 94377 108303 283131 324909 408967 452651 535961 1226901 1357953 1607883 3680703 4073859 4823649 5884463 6967493 17653389 20902479 52960167 62707437 87361643 262084929 786254787 1135701359 3407104077 10221312231