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1112202102200 = 235276171287569
BaseRepresentation
bin10000001011110100011…
…010010100010110111000
310221022210021110210011212
4100023310122110112320
5121210242214232300
62210534422542252
7143232255612350
oct20136432242670
93838707423155
101112202102200
11399756100a82
1215b676297988
1380b59a81ba7
143bb8bc93b60
151dde6d43935
hex102f46945b8

1112202102200 has 96 divisors (see below), whose sum is σ = 2960071927200. Its totient is φ = 380708106240.

The previous prime is 1112202102191. The next prime is 1112202102233. The reversal of 1112202102200 is 22012022111.

It is a super-6 number, since 6×11122021022006 (a number of 74 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 220016 + ... + 1507584.

It is an arithmetic number, because the mean of its divisors is an integer number (30834082575).

Almost surely, 21112202102200 is an apocalyptic number.

1112202102200 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 1112202102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480035963600).

1112202102200 is an abundant number, since it is smaller than the sum of its proper divisors (1847869825000).

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

1112202102200 is a wasteful number, since it uses less digits than its factorization.

1112202102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288209 (or 1288200 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1112202102200 its reverse (22012022111), we get a palindrome (1134214124311).

The spelling of 1112202102200 in words is "one trillion, one hundred twelve billion, two hundred two million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 617 700 1234 1400 2468 3085 4319 4936 6170 8638 12340 15425 17276 21595 24680 30850 34552 43190 61700 86380 107975 123400 172760 215950 431900 863800 1287569 2575138 5150276 6437845 9012983 10300552 12875690 18025966 25751380 32189225 36051932 45064915 51502760 64378450 72103864 90129830 128756900 180259660 225324575 257513800 360519320 450649150 794430073 901298300 1588860146 1802596600 3177720292 3972150365 5561010511 6355440584 7944300730 11122021022 15888601460 19860751825 22244042044 27805052555 31777202920 39721503650 44488084088 55610105110 79443007300 111220210220 139025262775 158886014600 222440420440 278050525550 556101051100 1112202102200