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10020102012 = 2232416788687
BaseRepresentation
bin10010101010011111…
…01001111101111100
3221212022120220220100
421111033221331330
5131010121231022
64334141321100
7503210314254
oct112517517574
927768526810
1010020102012
1142820a4a48
121b37866190
13c38c0815b
146b0ab6964
153d9a2e1ac
hex2553e9f7c

10020102012 has 36 divisors (see below), whose sum is σ = 25946365536. Its totient is φ = 3258569280.

The previous prime is 10020101989. The next prime is 10020102017. The reversal of 10020102012 is 21020102001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020101985 and 10020102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020102017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3392868 + ... + 3395819.

It is an arithmetic number, because the mean of its divisors is an integer number (720732376).

Almost surely, 210020102012 is an apocalyptic number.

10020102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10020102012 is an abundant number, since it is smaller than the sum of its proper divisors (15926263524).

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

10020102012 is a wasteful number, since it uses less digits than its factorization.

10020102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788738 (or 6788733 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10020102012 its reverse (21020102001), we get a palindrome (31040204013).

The spelling of 10020102012 in words is "ten billion, twenty million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 6788687 13577374 20366061 27154748 40732122 61098183 81464244 122196366 244392732 278336167 556672334 835008501 1113344668 1670017002 2505025503 3340034004 5010051006 10020102012