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10120020220 = 22537101135403
BaseRepresentation
bin10010110110011001…
…10100000011111100
3222010021121021220201
421123030310003330
5131211211121340
64352111053244
7505532516062
oct113314640374
928107537821
1010120020220
11432353aa82
121b65211224
13c5382065b
146c0086032
153e36b979a
hex25b3340fc

10120020220 has 48 divisors (see below), whose sum is σ = 22042687968. Its totient is φ = 3899577600.

The previous prime is 10120020203. The next prime is 10120020247. The reversal of 10120020220 is 2202002101.

10120020220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10120020197 and 10120020206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7039 + ... + 142441.

It is an arithmetic number, because the mean of its divisors is an integer number (459222666).

Almost surely, 210120020220 is an apocalyptic number.

10120020220 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 10120020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021343984).

10120020220 is an abundant number, since it is smaller than the sum of its proper divisors (11922667748).

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

10120020220 is a wasteful number, since it uses less digits than its factorization.

10120020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135550 (or 135548 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10120020220 its reverse (2202002101), we get a palindrome (12322022321).

The spelling of 10120020220 in words is "ten billion, one hundred twenty million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 370 404 505 740 1010 2020 3737 7474 14948 18685 37370 74740 135403 270806 541612 677015 1354030 2708060 5009911 10019822 13675703 20039644 25049555 27351406 50099110 54702812 68378515 100198220 136757030 273514060 506001011 1012002022 2024004044 2530005055 5060010110 10120020220