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22300021211100 = 22352193912284423
BaseRepresentation
bin1010001001000001000001…
…10101111011111111011100
32220221212020211011000112020
411010200200311323333130
510410330420412223400
6115232253250540140
74461060212524263
oct504404065737734
986855224130466
1022300021211100
117118427682356
122601a87b97650
13c59b62b92449
145714809b15da
1528a11c3122a0
hex144820d7bfdc

22300021211100 has 72 divisors (see below), whose sum is σ = 67917257600640. Its totient is φ = 5633689567680.

The previous prime is 22300021211087. The next prime is 22300021211101. The reversal of 22300021211100 is 111212000322.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22300021211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22300021211101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1956136512 + ... + 1956147911.

Almost surely, 222300021211100 is an apocalyptic number.

22300021211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22300021211100 is an abundant number, since it is smaller than the sum of its proper divisors (45617236389540).

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

22300021211100 is a wasteful number, since it uses less digits than its factorization.

22300021211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912284459 (or 3912284452 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22300021211100 its reverse (111212000322), we get a palindrome (22411233211422).

The spelling of 22300021211100 in words is "twenty-two trillion, three hundred billion, twenty-one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 3912284423 7824568846 11736853269 15649137692 19561422115 23473706538 39122844230 46947413076 58684266345 74333404037 78245688460 97807110575 117368532690 148666808074 195614221150 223000212111 234737065380 293421331725 297333616148 371667020185 391228442300 446000424222 586842663450 743334040370 892000848444 1115001060555 1173685326900 1486668080740 1858335100925 2230002121110 3716670201850 4460004242220 5575005302775 7433340403700 11150010605550 22300021211100