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103713924012 = 223233121795563
BaseRepresentation
bin110000010010111010…
…1001110001110101100
3100220201000001020012220
41200211311032032230
53144401231032022
6115351233155340
710331061544206
oct1404565161654
9326630036186
10103713924012
113aa91896196
12181256bbb50
139a1b09a00a
14503c3c7776
152a7030185c
hex1825d4e3ac

103713924012 has 96 divisors (see below), whose sum is σ = 260833198080. Its totient is φ = 31981055040.

The previous prime is 103713924007. The next prime is 103713924031. The reversal of 103713924012 is 210429317301.

It is a super-4 number, since 4×1037139240124 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18640743 + ... + 18646305.

It is an arithmetic number, because the mean of its divisors is an integer number (2717012480).

Almost surely, 2103713924012 is an apocalyptic number.

103713924012 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 103713924012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130416599040).

103713924012 is an abundant number, since it is smaller than the sum of its proper divisors (157119274068).

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

103713924012 is a wasteful number, since it uses less digits than its factorization.

103713924012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7803 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 103713924012 in words is "one hundred three billion, seven hundred thirteen million, nine hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 1426 2139 2179 2852 4278 4358 5563 6537 8556 8716 11126 13074 16689 22252 26148 33378 50117 66756 67549 100234 127949 135098 150351 172453 200468 202647 255898 270196 300702 344906 383847 405294 511796 517359 601404 689812 767694 810588 1034718 1535388 1553627 2069436 3107254 3966419 4660881 6214508 7932838 9321762 11899257 12121777 15865676 18643524 23798514 24243554 36365331 47597028 48487108 72730662 145461324 278800871 375775087 557601742 751550174 836402613 1115203484 1127325261 1503100348 1672805226 2254650522 3345610452 4509301044 8642827001 17285654002 25928481003 34571308004 51856962006 103713924012