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22211031132020 = 22517235948140429
BaseRepresentation
bin1010000110011011010001…
…00111101110011101110100
32220122100112221121121110102
411003031220213232131310
510402401142432211040
6115123335024413232
74451460025401503
oct503155047563564
986570487547412
1022211031132020
117093711040855
1225a8791477218
13c51650371c13
1456b03bc8483a
15287b5e976515
hex1433689ee774

22211031132020 has 96 divisors (see below), whose sum is σ = 52407597715200. Its totient is φ = 7862679824384.

The previous prime is 22211031131983. The next prime is 22211031132023. The reversal of 22211031132020 is 2023113011222.

It is a super-3 number, since 3×222110311320203 (a number of 41 digits) contains 333 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 = 22211031131983 and 22211031132001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211031132023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23608835 + ... + 24531594.

It is an arithmetic number, because the mean of its divisors is an integer number (545912476200).

Almost surely, 222211031132020 is an apocalyptic number.

22211031132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22211031132020 is an abundant number, since it is smaller than the sum of its proper divisors (30196566583180).

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

22211031132020 is a wasteful number, since it uses less digits than its factorization.

22211031132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48140537 (or 48140535 counting only the distinct ones).

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

Adding to 22211031132020 its reverse (2023113011222), we get a palindrome (24234144143242).

The spelling of 22211031132020 in words is "twenty-two trillion, two hundred eleven billion, thirty-one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 59 68 85 92 115 118 170 230 236 295 340 391 460 590 782 1003 1180 1357 1564 1955 2006 2714 3910 4012 5015 5428 6785 7820 10030 13570 20060 23069 27140 46138 92276 115345 230690 461380 48140429 96280858 192561716 240702145 481404290 818387293 962808580 1107229867 1636774586 2214459734 2840285311 3273549172 4091936465 4428919468 5536149335 5680570622 8183872930 11072298670 11361141244 14201426555 16367745860 18822907739 22144597340 28402853110 37645815478 48284850287 56805706220 65326562153 75291630956 94114538695 96569700574 130653124306 188229077390 193139401148 241424251435 261306248612 326632810765 376458154780 482848502870 653265621530 965697005740 1110551556601 1306531243060 2221103113202 4442206226404 5552757783005 11105515566010 22211031132020