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102012020020 = 22517300035353
BaseRepresentation
bin101111100000001100…
…0111110010100110100
3100202022101121112211201
41133000120332110310
53132410034120040
6114510315342244
710240644602041
oct1370030762464
9322271545751
10102012020020
113a299142569
121792b751984
139809604c31
144d1a3681c8
1529c0bc3a9a
hex17c063e534

102012020020 has 24 divisors (see below), whose sum is σ = 226826727624. Its totient is φ = 38404525056.

The previous prime is 102012019981. The next prime is 102012020041. The reversal of 102012020020 is 20020210201.

It can be written as a sum of positive squares in 4 ways, for example, as 10200596004 + 91811424016 = 100998^2 + 303004^2 .

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 = 102012019979 and 102012020006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150017337 + ... + 150018016.

It is an arithmetic number, because the mean of its divisors is an integer number (9451113651).

Almost surely, 2102012020020 is an apocalyptic number.

102012020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012020020 is an abundant number, since it is smaller than the sum of its proper divisors (124814707604).

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

102012020020 is a wasteful number, since it uses less digits than its factorization.

102012020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300035379 (or 300035377 counting only the distinct ones).

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

Adding to 102012020020 its reverse (20020210201), we get a palindrome (122032230221).

The spelling of 102012020020 in words is "one hundred two billion, twelve million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 300035353 600070706 1200141412 1500176765 3000353530 5100601001 6000707060 10201202002 20402404004 25503005005 51006010010 102012020020