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202212131130020 = 225113019133044407
BaseRepresentation
bin101101111110100100101110…
…001111101100101010100100
3222111222021212002121211221202
4231332210232033230222210
5203001020421032130040
61554022545352502032
760410226054551564
oct5576445617545244
9874867762554852
10202212131130020
11594817573aa920
121a81a0956aa918
1388aa6a31c9b5b
1437d1195788da4
15185a005515015
hexb7e92e3ecaa4

202212131130020 has 48 divisors (see below), whose sum is σ = 463251296043648. Its totient is φ = 73531416341760.

The previous prime is 202212131130011. The next prime is 202212131130041. The reversal of 202212131130020 is 20031131212202.

It is a super-2 number, since 2×2022121311300202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202212131129974 and 202212131130001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64898657 + ... + 67943063.

It is an arithmetic number, because the mean of its divisors is an integer number (9651068667576).

Almost surely, 2202212131130020 is an apocalyptic number.

202212131130020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212131130020 is an abundant number, since it is smaller than the sum of its proper divisors (261039164913628).

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

202212131130020 is a wasteful number, since it uses less digits than its factorization.

202212131130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346340 (or 3346338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 202212131130020 its reverse (20031131212202), we get a palindrome (222243262342222).

The spelling of 202212131130020 in words is "two hundred two trillion, two hundred twelve billion, one hundred thirty-one million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 301913 603826 1207652 1509565 3019130 3044407 3321043 6038260 6088814 6642086 12177628 13284172 15222035 16605215 30444070 33210430 33488477 60888140 66420860 66976954 133953908 167442385 334884770 669769540 919146050591 1838292101182 3676584202364 4595730252955 9191460505910 10110606556501 18382921011820 20221213113002 40442426226004 50553032782505 101106065565010 202212131130020