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11324015820 = 223251322321701
BaseRepresentation
bin10101000101111011…
…01100010011001100
31002020012010121101100
422202331230103030
5141142422001240
65111400543100
7550422355245
oct124275542314
932205117340
1011324015820
114891125767
122240481a90
1310b60b36a0
14795d35ccc
15464243e30
hex2a2f6c4cc

11324015820 has 144 divisors (see below), whose sum is σ = 37159379712. Its totient is φ = 2774822400.

The previous prime is 11324015819. The next prime is 11324015849. The reversal of 11324015820 is 2851042311.

11324015820 is a `hidden beast` number, since 11 + 32 + 40 + 1 + 582 + 0 = 666.

11324015820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113240158202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510970 + ... + 532670.

It is an arithmetic number, because the mean of its divisors is an integer number (258051248).

Almost surely, 211324015820 is an apocalyptic number.

11324015820 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 11324015820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579689856).

11324015820 is an abundant number, since it is smaller than the sum of its proper divisors (25835363892).

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

11324015820 is a wasteful number, since it uses less digits than its factorization.

11324015820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21952 (or 21947 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11324015820 in words is "eleven billion, three hundred twenty-four million, fifteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 223 234 260 390 446 468 585 669 780 892 1115 1170 1338 2007 2230 2340 2676 2899 3345 4014 4460 5798 6690 8028 8697 10035 11596 13380 14495 17394 20070 21701 26091 28990 34788 40140 43402 43485 52182 57980 65103 86804 86970 104364 108505 130206 130455 173940 195309 217010 260412 260910 282113 325515 390618 434020 521820 564226 651030 781236 846339 976545 1128452 1302060 1410565 1692678 1953090 2539017 2821130 3385356 3906180 4231695 4839323 5078034 5642260 8463390 9678646 10156068 12695085 14517969 16926780 19357292 24196615 25390170 29035938 43553907 48393230 50780340 58071876 62911199 72589845 87107814 96786460 125822398 145179690 174215628 188733597 217769535 251644796 290359380 314555995 377467194 435539070 566200791 629111990 754934388 871078140 943667985 1132401582 1258223980 1887335970 2264803164 2831003955 3774671940 5662007910 11324015820