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11312221464 = 23321721143801
BaseRepresentation
bin10101000100100001…
…01100110100011000
31002012100221101120100
422202100230310120
5141131412041324
65110300055400
7550220203335
oct124220546430
932170841510
1011312221464
1148854aa465
122238534560
1310b381418b
1479454598c
154631b44c9
hex2a242cd18

11312221464 has 96 divisors (see below), whose sum is σ = 32593944240. Its totient is φ = 3532032000.

The previous prime is 11312221457. The next prime is 11312221471. The reversal of 11312221464 is 46412221311.

It is an interprime number because it is at equal distance from previous prime (11312221457) and next prime (11312221471).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236364 + ... + 280164.

Almost surely, 211312221464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312221464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16296972120).

11312221464 is an abundant number, since it is smaller than the sum of its proper divisors (21281722776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11312221464 is a wasteful number, since it uses less digits than its factorization.

11312221464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44041 (or 44034 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 11312221464 its reverse (46412221311), we get a palindrome (57724442775).

The spelling of 11312221464 in words is "eleven billion, three hundred twelve million, two hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 211 306 408 422 612 633 844 1224 1266 1688 1899 2532 3587 3798 5064 7174 7596 10761 14348 15192 21522 28696 32283 43044 43801 64566 86088 87602 129132 131403 175204 258264 262806 350408 394209 525612 744617 788418 1051224 1489234 1576836 2233851 2978468 3153672 4467702 5956936 6701553 8935404 9242011 13403106 17870808 18484022 26806212 27726033 36968044 53612424 55452066 73936088 83178099 110904132 157114187 166356198 221808264 314228374 332712396 471342561 628456748 665424792 942685122 1256913496 1414027683 1885370244 2828055366 3770740488 5656110732 11312221464