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12102100020 = 2232567233889
BaseRepresentation
bin10110100010101011…
…10110010000110100
31011020102020101020200
423101111312100310
5144241114200040
65320514000500
7605621103303
oct132125662064
934212211220
1012102100020
11515035795a
122418b76130
1311ab36213a
1482b3d843a
154ac6dc630
hex2d1576434

12102100020 has 36 divisors (see below), whose sum is σ = 36709703940. Its totient is φ = 3227226624.

The previous prime is 12102100009. The next prime is 12102100037. The reversal of 12102100020 is 2000120121.

It can be written as a sum of positive squares in 2 ways, for example, as 8979078564 + 3123021456 = 94758^2 + 55884^2 .

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 = 12102099975 and 12102100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33616765 + ... + 33617124.

Almost surely, 212102100020 is an apocalyptic number.

12102100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102100020 is an abundant number, since it is smaller than the sum of its proper divisors (24607603920).

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

12102100020 is a wasteful number, since it uses less digits than its factorization.

12102100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67233904 (or 67233899 counting only the distinct ones).

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

Adding to 12102100020 its reverse (2000120121), we get a palindrome (14102220141).

The spelling of 12102100020 in words is "twelve billion, one hundred two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 67233889 134467778 201701667 268935556 336169445 403403334 605105001 672338890 806806668 1008508335 1210210002 1344677780 2017016670 2420420004 3025525005 4034033340 6051050010 12102100020