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21101132331020 = 22571260231195991
BaseRepresentation
bin1001100110000111111010…
…11111110011100000001100
32202201020201012012122112102
410303003331133303200030
510231210104334043040
6112513420521254232
74305335505300020
oct463037537634014
982636635178472
1021101132331020
1167a5a38106095
12244965a634378
13ba0a9c84c961
1452d42bc7c380
15268d4ee57515
hex1330fd7f380c

21101132331020 has 48 divisors (see below), whose sum is σ = 50643161791488. Its totient is φ = 7234610485440.

The previous prime is 21101132331017. The next prime is 21101132331029. The reversal of 21101132331020 is 2013323110112.

It is a happy number.

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 = 21101132330983 and 21101132331001.

It is not an unprimeable number, because it can be changed into a prime (21101132331029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17045225 + ... + 18241215.

It is an arithmetic number, because the mean of its divisors is an integer number (1055065870656).

Almost surely, 221101132331020 is an apocalyptic number.

21101132331020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101132331020 is an abundant number, since it is smaller than the sum of its proper divisors (29542029460468).

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

21101132331020 is a wasteful number, since it uses less digits than its factorization.

21101132331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322030 (or 1322028 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 21101132331020 its reverse (2013323110112), we get a palindrome (23114455441132).

The spelling of 21101132331020 in words is "twenty-one trillion, one hundred one billion, one hundred thirty-two million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 126023 252046 504092 630115 882161 1195991 1260230 1764322 2391982 2520460 3528644 4410805 4783964 5979955 8371937 8821610 11959910 16743874 17643220 23919820 33487748 41859685 83719370 167438740 150722373793 301444747586 602889495172 753611868965 1055056616551 1507223737930 2110113233102 3014447475860 4220226466204 5275283082755 10550566165510 21101132331020