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100130120112 = 243111361139339
BaseRepresentation
bin101110101000000111…
…0000110000110110000
3100120110020111010111010
41131100032012012300
53120031302320422
6113555451550520
710143213656301
oct1352016060660
9316406433433
10100130120112
113951292a290
12174a545b440
13959976aaa9
144bbc4527a8
15291088db0c
hex17503861b0

100130120112 has 80 divisors (see below), whose sum is σ = 282394247040. Its totient is φ = 30319948800.

The previous prime is 100130120047. The next prime is 100130120147. The reversal of 100130120112 is 211021031001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648939 + ... + 788277.

It is an arithmetic number, because the mean of its divisors is an integer number (3529928088).

Almost surely, 2100130120112 is an apocalyptic number.

100130120112 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 100130120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141197123520).

100130120112 is an abundant number, since it is smaller than the sum of its proper divisors (182264126928).

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

100130120112 is a wasteful number, since it uses less digits than its factorization.

100130120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140722 (or 140716 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100130120112 its reverse (211021031001), we get a palindrome (311151151113).

The spelling of 100130120112 in words is "one hundred billion, one hundred thirty million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1361 2722 4083 5444 8166 10888 14971 16332 21776 29942 32664 44913 59884 65328 89826 119768 139339 179652 239536 278678 359304 418017 557356 718608 836034 1114712 1532729 1672068 2229424 3065458 3344136 4598187 6130916 6688272 9196374 12261832 18392748 24523664 36785496 73570992 189640379 379280758 568921137 758561516 1137842274 1517123032 2086044169 2275684548 3034246064 4172088338 4551369096 6258132507 8344176676 9102738192 12516265014 16688353352 25032530028 33376706704 50065060056 100130120112