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100105353200 = 24521913171757
BaseRepresentation
bin101110100111010111…
…1100111011111110000
3100120101111212211200002
41131032233213133300
53120003432300300
6113553205045132
710142463314456
oct1351657473760
9316344784602
10100105353200
11394aa953566
12174990b67a8
1395945a8a08
144bb90469d6
15290d5ea5d5
hex174ebe77f0

100105353200 has 60 divisors (see below), whose sum is σ = 253161188760. Its totient is φ = 37934657280.

The previous prime is 100105353193. The next prime is 100105353239. The reversal of 100105353200 is 2353501001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6578279 + ... + 6593478.

It is an arithmetic number, because the mean of its divisors is an integer number (4219353146).

Almost surely, 2100105353200 is an apocalyptic number.

100105353200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105353200 is an abundant number, since it is smaller than the sum of its proper divisors (153055835560).

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

100105353200 is a wasteful number, since it uses less digits than its factorization.

100105353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13171794 (or 13171783 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 100105353200 its reverse (2353501001), we get a palindrome (102458854201).

The spelling of 100105353200 in words is "one hundred billion, one hundred five million, three hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 13171757 26343514 52687028 65858785 105374056 131717570 210748112 250263383 263435140 329293925 500526766 526870280 658587850 1001053532 1053740560 1251316915 1317175700 2002107064 2502633830 2634351400 4004214128 5005267660 5268702800 6256584575 10010535320 12513169150 20021070640 25026338300 50052676600 100105353200