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100122311220 = 22351668705187
BaseRepresentation
bin101110100111111000…
…0010011101000110100
3100120102200210101200220
41131033300103220310
53120022302424340
6113555012334340
710143060413661
oct1351760235064
9316380711626
10100122311220
1139509486358
12174a29143b0
139597c65649
144bbb3bca68
15290ed49ed0
hex174fc13a34

100122311220 has 24 divisors (see below), whose sum is σ = 280342471584. Its totient is φ = 26699282976.

The previous prime is 100122311197. The next prime is 100122311269. The reversal of 100122311220 is 22113221001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100122311220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834352534 + ... + 834352653.

It is an arithmetic number, because the mean of its divisors is an integer number (11680936316).

Almost surely, 2100122311220 is an apocalyptic number.

100122311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122311220 is an abundant number, since it is smaller than the sum of its proper divisors (180220160364).

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

100122311220 is a wasteful number, since it uses less digits than its factorization.

100122311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668705199 (or 1668705197 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100122311220 its reverse (22113221001), we get a palindrome (122235532221).

It can be divided in two parts, 10012 and 2311220, that added together give a palindrome (2321232).

The spelling of 100122311220 in words is "one hundred billion, one hundred twenty-two million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1668705187 3337410374 5006115561 6674820748 8343525935 10012231122 16687051870 20024462244 25030577805 33374103740 50061155610 100122311220