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22123302201132 = 223115914153200713
BaseRepresentation
bin1010000011110111110111…
…00100011010011100101100
32220022222002222011011110220
411001323323210122130230
510344432010330414012
6115015145453131340
74442233023652626
oct501737344323454
986288088134426
1022123302201132
11705a492380590
122593789189b50
13c462abc05622
14566ab8843c16
15285727ba408c
hex141efb91a72c

22123302201132 has 96 divisors (see below), whose sum is σ = 57272664072960. Its totient is φ = 6589904839680.

The previous prime is 22123302201113. The next prime is 22123302201211. The reversal of 22123302201132 is 23110220332122.

It is a super-2 number, since 2×221233022011322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110123208 + ... + 110323920.

It is an arithmetic number, because the mean of its divisors is an integer number (596590250760).

Almost surely, 222123302201132 is an apocalyptic number.

22123302201132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22123302201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28636332036480).

22123302201132 is an abundant number, since it is smaller than the sum of its proper divisors (35149361871828).

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

22123302201132 is a wasteful number, since it uses less digits than its factorization.

22123302201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214943 (or 214941 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22123302201132 its reverse (23110220332122), we get a palindrome (45233522533254).

The spelling of 22123302201132 in words is "twenty-two trillion, one hundred twenty-three billion, three hundred two million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 7788 14153 28306 42459 56612 84918 155683 169836 200713 311366 401426 467049 602139 622732 802852 835027 934098 1204278 1670054 1868196 2207843 2408556 2505081 3340108 4415686 5010162 6623529 8831372 9185297 10020324 11842067 13247058 18370594 23684134 26494116 27555891 35526201 36741188 47368268 55111782 71052402 110223564 130262737 142104804 260525474 390788211 521050948 781576422 1563152844 2840691089 5681382178 8522073267 11362764356 17044146534 31247601979 34088293068 62495203958 93742805937 124990407916 167600774251 187485611874 335201548502 374971223748 502802322753 670403097004 1005604645506 1843608516761 2011209291012 3687217033522 5530825550283 7374434067044 11061651100566 22123302201132