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11032512100 = 22521747138079
BaseRepresentation
bin10100100011001011…
…01100011001100100
31001110212121200110021
422101211230121210
5140043310341400
65022425004524
7540252543211
oct122145543144
931425550407
1011032512100
1147516246a5
12217a923744
13106a89bb8c
14769334b08
1544886271a
hex29196c664

11032512100 has 72 divisors (see below), whose sum is σ = 25888343040. Its totient is φ = 4065016320.

The previous prime is 11032512067. The next prime is 11032512109. The reversal of 11032512100 is 121523011.

It is not an unprimeable number, because it can be changed into a prime (11032512109) 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, 10861 + ... + 148939.

It is an arithmetic number, because the mean of its divisors is an integer number (359560320).

Almost surely, 211032512100 is an apocalyptic number.

11032512100 is a gapful number since it is divisible by the number (10) 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 11032512100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944171520).

11032512100 is an abundant number, since it is smaller than the sum of its proper divisors (14855830940).

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

11032512100 is a wasteful number, since it uses less digits than its factorization.

11032512100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138157 (or 138150 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The spelling of 11032512100 in words is "eleven billion, thirty-two million, five hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 47 50 68 85 94 100 170 188 235 340 425 470 799 850 940 1175 1598 1700 2350 3196 3995 4700 7990 15980 19975 39950 79900 138079 276158 552316 690395 1380790 2347343 2761580 3451975 4694686 6489713 6903950 9389372 11736715 12979426 13807900 23473430 25958852 32448565 46946860 58683575 64897130 110325121 117367150 129794260 162242825 220650242 234734300 324485650 441300484 551625605 648971300 1103251210 2206502420 2758128025 5516256050 11032512100