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20101000212 = 22323715090841
BaseRepresentation
bin10010101110000111…
…001110110000010100
31220212212120121111100
4102232013032300110
5312131324001322
613122334110100
71311056453106
oct225607166024
956785517440
1020101000212
118585543a77
123a8b94b330
131b845ab787
14d89897576
157c9a6bdac
hex4ae1cec14

20101000212 has 36 divisors (see below), whose sum is σ = 52184131636. Its totient is φ = 6519242880.

The previous prime is 20101000207. The next prime is 20101000223. The reversal of 20101000212 is 21200010102.

It can be written as a sum of positive squares in 2 ways, for example, as 17067854736 + 3033145476 = 130644^2 + 55074^2 .

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 = 20101000194 and 20101000203.

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, 7544089 + ... + 7546752.

Almost surely, 220101000212 is an apocalyptic number.

It is an amenable number.

20101000212 is an abundant number, since it is smaller than the sum of its proper divisors (32083131424).

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

20101000212 is a wasteful number, since it uses less digits than its factorization.

20101000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15090888 (or 15090883 counting only the distinct ones).

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

Adding to 20101000212 its reverse (21200010102), we get a palindrome (41301010314).

The spelling of 20101000212 in words is "twenty billion, one hundred one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 15090841 30181682 45272523 60363364 90545046 135817569 181090092 271635138 543270276 558361117 1116722234 1675083351 2233444468 3350166702 5025250053 6700333404 10050500106 20101000212