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111002000100 = 22352809457363
BaseRepresentation
bin110011101100000111…
…1000001101011100100
3101121111220211212002220
41213120033001223210
53304313003000400
6122554342032340
711006506301355
oct1473017015344
9347456755086
10111002000100
114309180a672
121961a4186b0
13a60cc87584
1455302d1d2c
152d4a0717a0
hex19d83c1ae4

111002000100 has 72 divisors (see below), whose sum is σ = 321563481120. Its totient is φ = 29563879680.

The previous prime is 111002000093. The next prime is 111002000141. The reversal of 111002000100 is 1000200111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14019 + ... + 471381.

It is an arithmetic number, because the mean of its divisors is an integer number (4466159460).

Almost surely, 2111002000100 is an apocalyptic number.

111002000100 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 111002000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160781740560).

111002000100 is an abundant number, since it is smaller than the sum of its proper divisors (210561481020).

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

111002000100 is a wasteful number, since it uses less digits than its factorization.

111002000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458189 (or 458182 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 111002000100 its reverse (1000200111), we get a palindrome (112002200211).

The spelling of 111002000100 in words is "one hundred eleven billion, two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 809 1618 2427 3236 4045 4854 8090 9708 12135 16180 20225 24270 40450 48540 60675 80900 121350 242700 457363 914726 1372089 1829452 2286815 2744178 4573630 5488356 6860445 9147260 11434075 13720890 22868150 27441780 34302225 45736300 68604450 137208900 370006667 740013334 1110020001 1480026668 1850033335 2220040002 3700066670 4440080004 5550100005 7400133340 9250166675 11100200010 18500333350 22200400020 27750500025 37000666700 55501000050 111002000100