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102122021020 = 225110913013539
BaseRepresentation
bin101111100011011110…
…0100110000010011100
3100202121001121011211211
41133012330212002130
53133121214133040
6114525245154204
710243451566465
oct1370674460234
9322531534754
10102122021020
113a345244988
121796055b964
13982633a896
144d2abddd6c
1529ca6a18ea
hex17c6f2609c

102122021020 has 48 divisors (see below), whose sum is σ = 214875309600. Its totient is φ = 40769081600.

The previous prime is 102122021017. The next prime is 102122021083. The reversal of 102122021020 is 20120221201.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 28854411 + ... + 28857949.

It is an arithmetic number, because the mean of its divisors is an integer number (4476568950).

Almost surely, 2102122021020 is an apocalyptic number.

102122021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122021020 is an abundant number, since it is smaller than the sum of its proper divisors (112753288580).

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

102122021020 is a wasteful number, since it uses less digits than its factorization.

102122021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102122021020 its reverse (20120221201), we get a palindrome (122242242221).

The spelling of 102122021020 in words is "one hundred two billion, one hundred twenty-two million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 1109 1301 2218 2602 3539 4436 5204 5545 6505 7078 11090 13010 14156 17695 22180 26020 35390 70780 1442809 2885618 3924751 4604239 5771236 7214045 7849502 9208478 14428090 15699004 18416956 19623755 23021195 28856180 39247510 46042390 78495020 92084780 5106101051 10212202102 20424404204 25530505255 51061010510 102122021020