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21132321132 = 223131960111863
BaseRepresentation
bin10011101011100101…
…011010000101101100
32000112202012010211110
4103223211122011230
5321234333234012
613412534552020
71345451523456
oct235345320554
960482163743
1021132321132
118a6470a70a
124119208610
131cba163c40
1410468392d6
1583a38873c
hex4eb95a16c

21132321132 has 96 divisors (see below), whose sum is σ = 55994283520. Its totient is φ = 6149260800.

The previous prime is 21132321131. The next prime is 21132321143. The reversal of 21132321132 is 23112323112.

It is a super-2 number, since 2×211323211322 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21132321099 and 21132321108.

It is not an unprimeable number, because it can be changed into a prime (21132321131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775433 + ... + 1787295.

Almost surely, 221132321132 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 21132321132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27997141760).

21132321132 is an abundant number, since it is smaller than the sum of its proper divisors (34861962388).

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

21132321132 is a wasteful number, since it uses less digits than its factorization.

21132321132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12503 (or 12501 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 21132321132 its reverse (23112323112), we get a palindrome (44244644244).

The spelling of 21132321132 in words is "twenty-one billion, one hundred thirty-two million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 601 741 988 1202 1482 1803 2404 2964 3606 7212 7813 11419 11863 15626 22838 23439 23726 31252 34257 35589 45676 46878 47452 68514 71178 93756 137028 142356 148447 154219 225397 296894 308438 445341 450794 462657 593788 616876 676191 890682 901588 925314 1352382 1781364 1850628 2704764 2930161 5860322 7129663 8790483 11720644 14259326 17580966 21388989 28518652 35161932 42777978 85555956 92685619 135463597 185371238 270927194 278056857 370742476 406390791 541854388 556113714 812781582 1112227428 1625563164 1761026761 3522053522 5283080283 7044107044 10566160566 21132321132