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111132231000012 = 223410125211347103
BaseRepresentation
bin11001010001001011111101…
…001001101101111111001100
3112120111010201020220222220000
4121101023331021231333030
5104031242302114000022
61032205235255324300
732260016166314265
oct3121137511557714
9476433636828800
10111132231000012
1132456a07208582
121056a207380690
134a01955708371
141d62b85c7d96c
15ccac0eace6ac
hex6512fd26dfcc

111132231000012 has 120 divisors (see below), whose sum is σ = 293514654905472. Its totient is φ = 36662728032000.

The previous prime is 111132230999981. The next prime is 111132231000013. The reversal of 111132231000012 is 210000132231111.

111132231000012 is a `hidden beast` number, since 11 + 11 + 322 + 310 + 0 + 0 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111132231000013) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81823653 + ... + 83170755.

Almost surely, 2111132231000012 is an apocalyptic number.

111132231000012 is a gapful number since it is divisible by the number (12) 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 111132231000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146757327452736).

111132231000012 is an abundant number, since it is smaller than the sum of its proper divisors (182382423905460).

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

111132231000012 is a wasteful number, since it uses less digits than its factorization.

111132231000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349741 (or 1349730 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111132231000012 its reverse (210000132231111), we get a palindrome (321132363231123).

The spelling of 111132231000012 in words is "one hundred eleven trillion, one hundred thirty-two billion, two hundred thirty-one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 606 909 1212 1818 2521 2727 3636 5042 5454 7563 8181 10084 10908 15126 16362 22689 30252 32724 45378 68067 90756 136134 204201 254621 272268 408402 509242 763863 816804 1018484 1347103 1527726 2291589 2694206 3055452 4041309 4583178 5388412 6874767 8082618 9166356 12123927 13749534 16165236 20624301 24247854 27499068 36371781 41248602 48495708 72743562 82497204 109115343 136057403 145487124 218230686 272114806 408172209 436461372 544229612 816344418 1224516627 1632688836 2449033254 3396046663 3673549881 4898066508 6792093326 7347099762 10188139989 11020649643 13584186652 14694199524 20376279978 22041299286 30564419967 40752559956 44082598572 61128839934 91693259901 122257679868 183386519802 275079779703 343000712963 366773039604 550159559406 686001425926 1029002138889 1100319118812 1372002851852 2058004277778 3087006416667 4116008555556 6174012833334 9261019250001 12348025666668 18522038500002 27783057750003 37044077000004 55566115500006 111132231000012