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10022220012 = 2237433178753
BaseRepresentation
bin10010101010101111…
…01111000011101100
3221212110120112020210
421111113233003230
5131011142020022
64334254542420
7503234315220
oct112527570354
927773515223
1010022220012
114283311262
121b38507a10
13c3949a1cc
146b10a8780
153d9ceba0c
hex2555ef0ec

10022220012 has 96 divisors (see below), whose sum is σ = 27436856832. Its totient is φ = 2787757056.

The previous prime is 10022220011. The next prime is 10022220017. The reversal of 10022220012 is 21002222001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10022220012.

It is not an unprimeable number, because it can be changed into a prime (10022220011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1140628 + ... + 1149380.

It is an arithmetic number, because the mean of its divisors is an integer number (285800592).

Almost surely, 210022220012 is an apocalyptic number.

10022220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13718428416).

10022220012 is an abundant number, since it is smaller than the sum of its proper divisors (17414636820).

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

10022220012 is a wasteful number, since it uses less digits than its factorization.

10022220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022220012 its reverse (21002222001), we get a palindrome (31024442013).

It can be divided in two parts, 1002222001 and 2, that multiplied together give a palindrome (2004444002).

The spelling of 10022220012 in words is "ten billion, twenty-two million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 317 516 602 634 903 951 1204 1268 1806 1902 2219 3612 3804 4438 6657 8753 8876 13314 13631 17506 26259 26628 27262 35012 40893 52518 54524 61271 81786 95417 105036 122542 163572 183813 190834 245084 286251 367626 376379 381668 572502 735252 752758 1129137 1145004 1505516 2258274 2634653 2774701 4516548 5269306 5549402 7903959 8324103 10538612 11098804 15807918 16648206 19422907 31615836 33296412 38845814 58268721 77691628 116537442 119312143 233074884 238624286 357936429 477248572 715872858 835185001 1431745716 1670370002 2505555003 3340740004 5011110006 10022220012