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102010101020 = 22531164532421
BaseRepresentation
bin101111100000001000…
…1101001110100011100
3100202022021000001110122
41133000101221310130
53132404041213040
6114510210254112
710240622360222
oct1370021516434
9322267001418
10102010101020
113a298051813
121792ab87338
1398090b2629
144d19dc8b12
1529c09451b5
hex17c0469d1c

102010101020 has 24 divisors (see below), whose sum is σ = 221131575168. Its totient is φ = 39487780800.

The previous prime is 102010101001. The next prime is 102010101023. The reversal of 102010101020 is 20101010201.

It is a super-2 number, since 2×1020101010202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102010100989 and 102010101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010101023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82265591 + ... + 82266830.

It is an arithmetic number, because the mean of its divisors is an integer number (9213815632).

Almost surely, 2102010101020 is an apocalyptic number.

102010101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010101020 is an abundant number, since it is smaller than the sum of its proper divisors (119121474148).

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

102010101020 is a wasteful number, since it uses less digits than its factorization.

102010101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164532461 (or 164532459 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102010101020 its reverse (20101010201), we get a palindrome (122111111221).

The spelling of 102010101020 in words is "one hundred two billion, ten million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 164532421 329064842 658129684 822662105 1645324210 3290648420 5100505051 10201010102 20402020204 25502525255 51005050510 102010101020