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102100020020 = 22561836310007
BaseRepresentation
bin101111100010110100…
…0101010101100110100
3100202112112012102010222
41133011220222230310
53133100101120040
6114523141433512
710243063564565
oct1370550525464
9322475172128
10102100020020
113a333888239
121795510b898
13982190673b
144d27d1416c
1529c87a7bb5
hex17c5a2ab34

102100020020 has 48 divisors (see below), whose sum is σ = 217972798848. Its totient is φ = 40161682560.

The previous prime is 102100020017. The next prime is 102100020047. The reversal of 102100020020 is 20020001201.

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, 10197857 + ... + 10207863.

It is an arithmetic number, because the mean of its divisors is an integer number (4541099976).

Almost surely, 2102100020020 is an apocalyptic number.

102100020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100020020 is an abundant number, since it is smaller than the sum of its proper divisors (115872778828).

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

102100020020 is a wasteful number, since it uses less digits than its factorization.

102100020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18440 (or 18438 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 102100020020 its reverse (20020001201), we get a palindrome (122120021221).

The spelling of 102100020020 in words is "one hundred two billion, one hundred million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 8363 10007 16726 20014 33452 40028 41815 50035 83630 100070 167260 200140 510143 610427 1020286 1220854 2040572 2441708 2550715 3052135 5101430 6104270 10202860 12208540 83688541 167377082 334754164 418442705 836885410 1673770820 5105001001 10210002002 20420004004 25525005005 51050010010 102100020020