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21313321100232 = 23371132422946337
BaseRepresentation
bin1001101100010011001001…
…11011101110001111001000
32210110112101222210222001120
410312021210323232033020
510243144140200201412
6113155112103115240
74326556652131230
oct466114473561710
983415358728046
1021313321100232
116877a2413aa77
1224827b8142b20
13bb7ab7157ab5
145397daa78cc0
1526e61d4d8b8c
hex136264eee3c8

21313321100232 has 128 divisors (see below), whose sum is σ = 61437960172800. Its totient is φ = 6035251396608.

The previous prime is 21313321100219. The next prime is 21313321100243. The reversal of 21313321100232 is 23200112331312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459940168 + ... + 459986504.

It is an arithmetic number, because the mean of its divisors is an integer number (479984063850).

Almost surely, 221313321100232 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 21313321100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30718980086400).

21313321100232 is an abundant number, since it is smaller than the sum of its proper divisors (40124639072568).

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

21313321100232 is a wasteful number, since it uses less digits than its factorization.

21313321100232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70695 (or 70691 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21313321100232 its reverse (23200112331312), we get a palindrome (44513433431544).

The spelling of 21313321100232 in words is "twenty-one trillion, three hundred thirteen billion, three hundred twenty-one million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4746 6328 9492 18984 24229 46337 48458 72687 92674 96916 139011 145374 169603 185348 193832 278022 290748 324359 339206 370696 508809 556044 581496 648718 678412 973077 1017618 1112088 1297436 1356824 1946154 2035236 2594872 2737877 3892308 4070472 5236081 5475754 7784616 8213631 10472162 10951508 15708243 16427262 19165139 20944324 21903016 31416486 32854524 36652567 38330278 41888648 57495417 62832972 65709048 73305134 76660556 109957701 114990834 125665944 146610268 153321112 219915402 229981668 293220536 439830804 459963336 879661608 1122699173 2245398346 3368097519 4490796692 6736195038 7858894211 8981593384 13472390076 15717788422 23576682633 26944780152 31435576844 47153365266 62871153688 94306730532 126865006549 188613461064 253730013098 380595019647 507460026196 761190039294 888055045843 1014920052392 1522380078588 1776110091686 2664165137529 3044760157176 3552220183372 5328330275058 7104440366744 10656660550116 21313321100232