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111101001012 = 22327438634813
BaseRepresentation
bin110011101111000100…
…0101011110100110100
3101121202211010121211100
41213132020223310310
53310013324013022
6123012240010100
711012120632641
oct1473610536464
9347684117740
10111101001012
1143132689501
1219647600930
13a62763b3b1
14553d502dc8
152d53aca1ac
hex19de22bd34

111101001012 has 72 divisors (see below), whose sum is σ = 281600976384. Its totient is φ = 36933293376.

The previous prime is 111101001007. The next prime is 111101001013. The reversal of 111101001012 is 210100101111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111101000985 and 111101001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101001013) 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, 23081118 + ... + 23085930.

It is an arithmetic number, because the mean of its divisors is an integer number (3911124672).

Almost surely, 2111101001012 is an apocalyptic number.

111101001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111101001012 is an abundant number, since it is smaller than the sum of its proper divisors (170499975372).

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

111101001012 is a wasteful number, since it uses less digits than its factorization.

111101001012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111101001012 its reverse (210100101111), we get a palindrome (321201102123).

The spelling of 111101001012 in words is "one hundred eleven billion, one hundred one million, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 743 863 1486 1726 2229 2589 2972 3452 4458 4813 5178 6687 7767 8916 9626 10356 13374 14439 15534 19252 26748 28878 31068 43317 57756 86634 173268 641209 1282418 1923627 2564836 3576059 3847254 4153619 5770881 7152118 7694508 8307238 10728177 11541762 12460857 14304236 16614476 21456354 23083524 24921714 32184531 37382571 42912708 49843428 64369062 74765142 128738124 149530284 3086138917 6172277834 9258416751 12344555668 18516833502 27775250253 37033667004 55550500506 111101001012