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23132022121032 = 23311299731148701
BaseRepresentation
bin1010100001001110101111…
…11101100010001001001000
310000220101210101122102022020
411100213113331202021020
511012443340130333112
6121110412041524440
74605143033546646
oct520472775421110
9100811711572266
1023132022121032
117409265489350
1227171834a3720
13cba456909486
1459d84add6196
152a1ab4c2048c
hex1509d7f62248

23132022121032 has 128 divisors (see below), whose sum is σ = 65935572393600. Its totient is φ = 6698216448000.

The previous prime is 23132022121031. The next prime is 23132022121073. The reversal of 23132022121032 is 23012122023132.

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

It is a junction number, because it is equal to n+sod(n) for n = 23132022120993 and 23132022121011.

It is not an unprimeable number, because it can be changed into a prime (23132022121031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14831719 + ... + 16316982.

It is an arithmetic number, because the mean of its divisors is an integer number (515121659325).

Almost surely, 223132022121032 is an apocalyptic number.

23132022121032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23132022121032 is an abundant number, since it is smaller than the sum of its proper divisors (42803550272568).

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

23132022121032 is a wasteful number, since it uses less digits than its factorization.

23132022121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31148847 (or 31148843 counting only the distinct ones).

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

Adding to 23132022121032 its reverse (23012122023132), we get a palindrome (46144144144164).

The spelling of 23132022121032 in words is "twenty-three trillion, one hundred thirty-two billion, twenty-two million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 97 116 132 174 194 232 264 291 319 348 388 582 638 696 776 957 1067 1164 1276 1914 2134 2328 2552 2813 3201 3828 4268 5626 6402 7656 8439 8536 11252 12804 16878 22504 25608 30943 33756 61886 67512 92829 123772 185658 247544 371316 742632 31148701 62297402 93446103 124594804 186892206 249189608 342635711 373784412 685271422 747568824 903312329 1027907133 1370542844 1806624658 2055814266 2709936987 2741085688 3021423997 3613249316 4111628532 5419873974 6042847994 7226498632 8223257064 9064271991 9936435619 10839747948 12085695988 18128543982 19872871238 21679495896 24171391976 29809306857 33235663967 36257087964 39745742476 59618613714 66471327934 72514175928 79491484952 87621295913 99706991901 119237227428 132942655868 175242591826 199413983802 238474454856 262863887739 265885311736 350485183652 398827967604 525727775478 700970367304 797655935208 963834255043 1051455550956 1927668510086 2102911101912 2891502765129 3855337020172 5783005530258 7710674040344 11566011060516 23132022121032