Search a number
-
+
22121023304000 = 26532765127913
BaseRepresentation
bin1010000011110011100111…
…01111000111000101000000
32220022202020011000012022102
411001321303233013011000
510344412323431212000
6115014131404325532
74442122402442645
oct501716357070500
986282204005272
1022121023304000
117059522a63425
122593251b438a8
13c46007a3b89a
1456693dd09dcc
15285642aa03d5
hex141e73bc7140

22121023304000 has 56 divisors (see below), whose sum is σ = 54782714232168. Its totient is φ = 8848409318400.

The previous prime is 22121023303927. The next prime is 22121023304041. The reversal of 22121023304000 is 40332012122.

22121023304000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27563968576 + 22093459335424 = 166024^2 + 4700368^2 .

It is a super-2 number, since 2×221210233040002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1382555957 + ... + 1382571956.

Almost surely, 222121023304000 is an apocalyptic number.

22121023304000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121023304000 is an abundant number, since it is smaller than the sum of its proper divisors (32661690928168).

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

22121023304000 is an equidigital number, since it uses as much as digits as its factorization.

22121023304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765127940 (or 2765127920 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22121023304000 its reverse (40332012122), we get a palindrome (22161355316122).

The spelling of 22121023304000 in words is "twenty-two trillion, one hundred twenty-one billion, twenty-three million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 2765127913 5530255826 11060511652 13825639565 22121023304 27651279130 44242046608 55302558260 69128197825 88484093216 110605116520 138256395650 176968186432 221210233040 276512791300 345640989125 442420466080 553025582600 691281978250 884840932160 1106051165200 1382563956500 2212102330400 2765127913000 4424204660800 5530255826000 11060511652000 22121023304000