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21232120111232 = 271731099387221
BaseRepresentation
bin1001101001111011111001…
…11110100010000010000000
32210011202210221211022212112
410310331330332202002000
510240331340222024412
6113053522404114452
74320653505122042
oct464757476420200
983152727738775
1021232120111232
1168465453120a8
12246ab16095a28
13bb0246273604
145358d65d3a92
1526c469886722
hex134f7cfa2080

21232120111232 has 64 divisors (see below), whose sum is σ = 42547221299160. Its totient is φ = 10553614417920.

The previous prime is 21232120111187. The next prime is 21232120111291. The reversal of 21232120111232 is 23211102123212.

It can be written as a sum of positive squares in 4 ways, for example, as 21229756595776 + 2363515456 = 4607576^2 + 48616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 21232120111198 and 21232120111207.

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, 243385382 + ... + 243472602.

Almost surely, 221232120111232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21232120111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273610649580).

21232120111232 is an abundant number, since it is smaller than the sum of its proper divisors (21315101187928).

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

21232120111232 is a wasteful number, since it uses less digits than its factorization.

21232120111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98401 (or 98389 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 21232120111232 its reverse (23211102123212), we get a palindrome (44443222234444).

The spelling of 21232120111232 in words is "twenty-one trillion, two hundred thirty-two billion, one hundred twenty million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 5536 10993 11072 21986 22144 43972 87221 87944 174442 175888 348884 351776 697768 703552 1395536 1407104 1901789 2791072 3803578 5582144 7607156 11164288 15089233 15214312 30178466 30428624 60356932 60857248 120713864 121714496 241427728 243428992 482855456 958820453 965710912 1917640906 1931421824 3835281812 7670563624 15341127248 30682254496 61364508992 122729017984 165875938369 331751876738 663503753476 1327007506952 2654015013904 5308030027808 10616060055616 21232120111232