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100011220020 = 22345139601739
BaseRepresentation
bin101110100100100100…
…0100001110000110100
3100120010221202101020000
41131021020201300310
53114310333020040
6113540003311300
710140241225635
oct1351110416064
9316127671200
10100011220020
11394617a9948
121747167b530
13957ac3a6ca
144baa74188c
152905204130
hex1749221c34

100011220020 has 240 divisors, whose sum is σ = 316950110400. Its totient is φ = 26397964800.

The previous prime is 100011220019. The next prime is 100011220051. The reversal of 100011220020 is 20022110001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100011219984 and 100011220011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135332811 + ... + 135333549.

It is an arithmetic number, because the mean of its divisors is an integer number (1320625460).

Almost surely, 2100011220020 is an apocalyptic number.

100011220020 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 100011220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158475055200).

100011220020 is an abundant number, since it is smaller than the sum of its proper divisors (216938890380).

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

100011220020 is a wasteful number, since it uses less digits than its factorization.

100011220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100011220020 its reverse (20022110001), we get a palindrome (120033330021).

The spelling of 100011220020 in words is "one hundred billion, eleven million, two hundred twenty thousand, twenty".