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102012002220 = 22353135431949
BaseRepresentation
bin101111100000001100…
…0111001111110101100
3100202022101120122102110
41133000120321332230
53132410033032340
6114510315124020
710240644466122
oct1370030717654
9322271518373
10102012002220
113a299130157
121792b743610
1398095c9abb
144d1a361912
1529c0bbd680
hex17c0639fac

102012002220 has 48 divisors (see below), whose sum is σ = 286546226400. Its totient is φ = 27116284416.

The previous prime is 102012002207. The next prime is 102012002243. The reversal of 102012002220 is 22200210201.

102012002220 is digitally balanced in base 3, 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 102012002196 and 102012002205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2697195 + ... + 2734754.

It is an arithmetic number, because the mean of its divisors is an integer number (5969713050).

Almost surely, 2102012002220 is an apocalyptic number.

102012002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012002220 is an abundant number, since it is smaller than the sum of its proper divisors (184534224180).

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

102012002220 is a wasteful number, since it uses less digits than its factorization.

102012002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432274 (or 5432272 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102012002220 its reverse (22200210201), we get a palindrome (124212212421).

The spelling of 102012002220 in words is "one hundred two billion, twelve million, two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 313 626 939 1252 1565 1878 3130 3756 4695 6260 9390 18780 5431949 10863898 16295847 21727796 27159745 32591694 54319490 65183388 81479235 108638980 162958470 325916940 1700200037 3400400074 5100600111 6800800148 8501000185 10201200222 17002000370 20402400444 25503000555 34004000740 51006001110 102012002220