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11132303190012 = 223514717785851
BaseRepresentation
bin1010000111111111000011…
…1110100010011111111100
31110102020102100110002200000
42201333300332202133330
52424342424104040022
635402035352034300
72226165564556344
oct241776076423774
943366370402600
1011132303190012
113602201a28864
1212b9621992990
13629a055199c4
142a6b4089dd24
1514489b81e6ac
hexa1ff0fa27fc

11132303190012 has 72 divisors (see below), whose sum is σ = 29202052518912. Its totient is φ = 3708244638000.

The previous prime is 11132303189981. The next prime is 11132303190017. The reversal of 11132303190012 is 21009130323111.

11132303190012 is a `hidden beast` number, since 1 + 11 + 323 + 0 + 319 + 0 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132303190017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2463114 + ... + 5322737.

Almost surely, 211132303190012 is an apocalyptic number.

11132303190012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11132303190012 is an abundant number, since it is smaller than the sum of its proper divisors (18069749328900).

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

11132303190012 is a wasteful number, since it uses less digits than its factorization.

11132303190012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7787341 (or 7787327 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 11132303190012 in words is "eleven trillion, one hundred thirty-two billion, three hundred three million, one hundred ninety thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1471 2942 4413 5884 8826 13239 17652 26478 39717 52956 79434 119151 158868 238302 357453 476604 714906 1429812 7785851 15571702 23357553 31143404 46715106 70072659 93430212 140145318 210217977 280290636 420435954 630653931 840871908 1261307862 1891961793 2522615724 3783923586 7567847172 11452986821 22905973642 34358960463 45811947284 68717920926 103076881389 137435841852 206153762778 309230644167 412307525556 618461288334 927691932501 1236922576668 1855383865002 2783075797503 3710767730004 5566151595006 11132303190012