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21323002211112 = 23371911186755997
BaseRepresentation
bin1001101100100101001011…
…11110001110101100101000
32210111110101200112100112210
410312102211332032230220
510243324002031223422
6113203352455005120
74330351605202260
oct466224576165450
983443350470483
1021323002211112
116881041949958
12248465a3697a0
13bb899aa62884
1453a07870c7a0
1526e9d83a610c
hex1364a5f8eb28

21323002211112 has 128 divisors (see below), whose sum is σ = 61248085770240. Its totient is φ = 6059770648320.

The previous prime is 21323002211081. The next prime is 21323002211153. The reversal of 21323002211112 is 21111220032312.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 380760298 + ... + 380816294.

It is an arithmetic number, because the mean of its divisors is an integer number (478500670080).

Almost surely, 221323002211112 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 21323002211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30624042885120).

21323002211112 is an abundant number, since it is smaller than the sum of its proper divisors (39925083559128).

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

21323002211112 is a wasteful number, since it uses less digits than its factorization.

21323002211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68071 (or 68067 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 21323002211112 its reverse (21111220032312), we get a palindrome (42434222243424).

The spelling of 21323002211112 in words is "twenty-one trillion, three hundred twenty-three billion, two million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 191 382 573 764 1146 1337 1528 2292 2674 4011 4584 5348 8022 10696 11867 16044 23734 32088 35601 47468 55997 71202 83069 94936 111994 142404 166138 167991 223988 249207 284808 332276 335982 391979 447976 498414 664552 671964 783958 996828 1175937 1343928 1567916 1993656 2266597 2351874 3135832 4533194 4703748 6799791 9066388 9407496 10695427 13599582 15866179 18132776 21390854 27199164 31732358 32086281 42781708 47598537 54398328 63464716 64172562 74867989 85563416 95197074 126929432 128345124 149735978 190394148 224603967 256690248 299471956 380788296 449207934 598943912 664516399 898415868 1329032798 1796831736 1993549197 2658065596 3987098394 4651614793 5316131192 7974196788 9303229586 13954844379 15948393576 18606459172 27909688758 37212918344 55819377516 111638755032 126922632209 253845264418 380767896627 507690528836 761535793254 888458425463 1015381057672 1523071586508 1776916850926 2665375276389 3046143173016 3553833701852 5330750552778 7107667403704 10661501105556 21323002211112