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22132110413000 = 2353716883187273
BaseRepresentation
bin1010000100001000010001…
…00101000100110011001000
32220100210211211100200122002
411002010020211010303020
510400103030231204000
6115023203503450132
74442664220350620
oct502041045046310
986323754320562
1022132110413000
1170631a2388525
122595426bb6948
13c47083a15303
145672b25b3880
15285a910e98d5
hex142108944cc8

22132110413000 has 128 divisors (see below), whose sum is σ = 59191408523520. Its totient is φ = 7587662169600.

The previous prime is 22132110412981. The next prime is 22132110413057. The reversal of 22132110413000 is 31401123122.

It is a super-2 number, since 2×221321104130002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 118087364 + ... + 118274636.

It is an arithmetic number, because the mean of its divisors is an integer number (462432879090).

Almost surely, 222132110413000 is an apocalyptic number.

22132110413000 is a gapful number since it is divisible by the number (20) 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 22132110413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29595704261760).

22132110413000 is an abundant number, since it is smaller than the sum of its proper divisors (37059298110520).

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

22132110413000 is a wasteful number, since it uses less digits than its factorization.

22132110413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204184 (or 204170 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 22132110413000 its reverse (31401123122), we get a palindrome (22163511536122).

The spelling of 22132110413000 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred ten million, four hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 16883 33766 67532 84415 118181 135064 168830 187273 236362 337660 374546 422075 472724 590905 675320 749092 844150 936365 945448 1181810 1310911 1498184 1688300 1872730 2110375 2363620 2621822 2954525 3376600 3745460 4220750 4681825 4727240 5243644 5909050 6554555 7490920 8441500 9363650 10487288 11818100 13109110 14772625 16883000 18727300 23409125 23636200 26218220 29545250 32772775 37454600 46818250 52436440 59090500 65545550 93636500 118181000 131091100 163863875 187273000 262182200 327727750 655455500 1310911000 3161730059 6323460118 12646920236 15808650295 22132110413 25293840472 31617300590 44264220826 63234601180 79043251475 88528441652 110660552065 126469202360 158086502950 177056883304 221321104130 316173005900 395216257375 442642208260 553302760325 632346011800 790432514750 885284416520 1106605520650 1580865029500 2213211041300 2766513801625 3161730059000 4426422082600 5533027603250 11066055206500 22132110413000