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11321665620 = 22353110935569
BaseRepresentation
bin10101000101101001…
…01110100001010100
31002020000201012111220
422202310232201110
5141141321244440
65111234330340
7550363366326
oct124264564124
932200635456
1011321665620
11488a86aa51
12223b7299b0
1310b576ca35
147958c3616
15463e2c8d0
hex2a2d2e854

11321665620 has 96 divisors (see below), whose sum is σ = 32759086080. Its totient is φ = 2918522880.

The previous prime is 11321665601. The next prime is 11321665669. The reversal of 11321665620 is 2656612311.

It is a super-2 number, since 2×113216656202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2030196 + ... + 2035764.

It is an arithmetic number, because the mean of its divisors is an integer number (341240480).

Almost surely, 211321665620 is an apocalyptic number.

11321665620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321665620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16379543040).

11321665620 is an abundant number, since it is smaller than the sum of its proper divisors (21437420460).

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

11321665620 is a wasteful number, since it uses less digits than its factorization.

11321665620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

It can be divided in two parts, 1132166 and 5620, that added together give a triangular number (1137786 = T1508).

The spelling of 11321665620 in words is "eleven billion, three hundred twenty-one million, six hundred sixty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1093 1860 2186 3279 4372 5465 5569 6558 10930 11138 13116 16395 16707 21860 22276 27845 32790 33414 33883 55690 65580 66828 67766 83535 101649 111380 135532 167070 169415 172639 203298 334140 338830 345278 406596 508245 517917 677660 690556 863195 1016490 1035834 1726390 2032980 2071668 2589585 3452780 5179170 6086917 10358340 12173834 18260751 24347668 30434585 36521502 60869170 73043004 91303755 121738340 182607510 188694427 365215020 377388854 566083281 754777708 943472135 1132166562 1886944270 2264333124 2830416405 3773888540 5660832810 11321665620