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22131132332010 = 23513239011273803
BaseRepresentation
bin1010000100000110011100…
…10001111111011111101010
32220100201022122221000202020
411002003032101333133222
510400044024334111020
6115022522444045310
74442631042660552
oct502031621773752
986321278830666
1022131132332010
117062840275829
1225951b3533836
13c46c591b0b70
1456721c730162
15285a352e7c40
hex1420ce47f7ea

22131132332010 has 128 divisors (see below), whose sum is σ = 59694283708416. Its totient is φ = 5210211114240.

The previous prime is 22131132331991. The next prime is 22131132332053. The reversal of 22131132332010 is 1023323113122.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80691769 + ... + 80965571.

It is an arithmetic number, because the mean of its divisors is an integer number (466361591472).

Almost surely, 222131132332010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22131132332010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29847141854208).

22131132332010 is an abundant number, since it is smaller than the sum of its proper divisors (37563151376406).

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

22131132332010 is a wasteful number, since it uses less digits than its factorization.

22131132332010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282860.

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

Adding to 22131132332010 its reverse (1023323113122), we get a palindrome (23154455445132).

The spelling of 22131132332010 in words is "twenty-two trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1495 1794 2990 4485 8970 9011 18022 27033 45055 54066 90110 117143 135165 207253 234286 270330 273803 351429 414506 547606 585715 621759 702858 821409 1036265 1171430 1243518 1369015 1642818 1757145 2072530 2694289 2738030 3108795 3514290 3559439 4107045 5388578 6217590 6297469 7118878 8082867 8214090 10678317 12594938 13471445 16165734 17797195 18892407 21356634 26942890 31487345 35594390 37784814 40414335 53391585 62974690 80828670 81867097 94462035 106783170 163734194 188924070 245601291 409335485 491202582 818670970 1228006455 2456012910 2467238833 4934477666 7401716499 12336194165 14803432998 24672388330 32074104829 37008582495 56746493159 64148209658 74017164990 96222314487 113492986318 160370524145 170239479477 192444628974 283732465795 320741048290 340478958954 481111572435 567464931590 737704411067 851197397385 962223144870 1475408822134 1702394794770 2213113233201 3688522055335 4426226466402 7377044110670 11065566166005 22131132332010