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102122001020 = 225131065136877
BaseRepresentation
bin101111100011011110…
…0100001001001111100
3100202121001120011102002
41133012330201021330
53133121213013040
6114525244521432
710243451454254
oct1370674411174
9322531504362
10102122001020
113a345230956
1217960550278
139826331750
144d2abd6964
1529ca69aa15
hex17c6f2127c

102122001020 has 48 divisors (see below), whose sum is σ = 230980780128. Its totient is φ = 37702022400.

The previous prime is 102122001011. The next prime is 102122001067. The reversal of 102122001020 is 20100221201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102122000992 and 102122001010.

It is a congruent number.

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, 2750822 + ... + 2787698.

It is an arithmetic number, because the mean of its divisors is an integer number (4812099586).

Almost surely, 2102122001020 is an apocalyptic number.

102122001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122001020 is an abundant number, since it is smaller than the sum of its proper divisors (128858779108).

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

102122001020 is a wasteful number, since it uses less digits than its factorization.

102122001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47550 (or 47548 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102122001020 its reverse (20100221201), we get a palindrome (122222222221).

The spelling of 102122001020 in words is "one hundred two billion, one hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 10651 21302 36877 42604 53255 73754 106510 138463 147508 184385 213020 276926 368770 479401 553852 692315 737540 958802 1384630 1917604 2397005 2769260 4794010 9588020 392776927 785553854 1571107708 1963884635 3927769270 5106100051 7855538540 10212200102 20424400204 25530500255 51061000510 102122001020