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22132100403312 = 2431924267653951
BaseRepresentation
bin1010000100001000001111…
…11110111001000001110000
32220100210211010112010220220
411002010013332321001300
510400103020200401222
6115023202505133040
74442664036311064
oct502040776710160
986323733463826
1022132100403312
117063197771059
12259542378a180
13c4708191c213
145672b1129aa4
15285a902bdb5c
hex142107fb9070

22132100403312 has 40 divisors (see below), whose sum is σ = 60183781800960. Its totient is φ = 6989084337600.

The previous prime is 22132100403311. The next prime is 22132100403353. The reversal of 22132100403312 is 21330400123122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132100403311) 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 7 ways as a sum of consecutive naturals, for example, 12133826064 + ... + 12133827887.

It is an arithmetic number, because the mean of its divisors is an integer number (1504594545024).

Almost surely, 222132100403312 is an apocalyptic number.

It is an amenable number.

22132100403312 is an abundant number, since it is smaller than the sum of its proper divisors (38051681397648).

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

22132100403312 is a wasteful number, since it uses less digits than its factorization.

22132100403312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24267653981 (or 24267653975 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22132100403312 its reverse (21330400123122), we get a palindrome (43462500526434).

The spelling of 22132100403312 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 24267653951 48535307902 72802961853 97070615804 145605923706 194141231608 291211847412 388282463216 461085425069 582423694824 922170850138 1164847389648 1383256275207 1844341700276 2766512550414 3688683400552 5533025100828 7377366801104 11066050201656 22132100403312