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233101222112010 = 23575957173290827
BaseRepresentation
bin110101000000000100011011…
…100010100110101100001010
31010120100020222221212011021010
4311000010123202212230022
5221023112300330041020
62143433120105224350
7100046002405021320
oct6500043342465412
91116306887764233
10233101222112010
1168300744a44aaa
12221886b37920b6
13a00b473ca4755
14417c233371d10
151be376ec4dde0
hexd4011b8a6b0a

233101222112010 has 128 divisors (see below), whose sum is σ = 650313947658240. Its totient is φ = 52368046182144.

The previous prime is 233101222112009. The next prime is 233101222112041. The reversal of 233101222112010 is 10211222101332.

It is a super-2 number, since 2×2331012221120102 (a number of 30 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69188217 + ... + 72479043.

It is an arithmetic number, because the mean of its divisors is an integer number (5080577716080).

Almost surely, 2233101222112010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233101222112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325156973829120).

233101222112010 is an abundant number, since it is smaller than the sum of its proper divisors (417212725546230).

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

233101222112010 is a wasteful number, since it uses less digits than its factorization.

233101222112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296620.

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

Adding to 233101222112010 its reverse (10211222101332), we get a palindrome (243312444213342).

The spelling of 233101222112010 in words is "two hundred thirty-three trillion, one hundred one billion, two hundred twenty-two million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 885 1239 1770 2065 2478 4130 5717 6195 11434 12390 17151 28585 34302 40019 57170 80038 85755 120057 171510 200095 240114 337303 400190 600285 674606 1011909 1200570 1686515 2023818 2361121 3290827 3373030 4722242 5059545 6581654 7083363 9872481 10119090 11805605 14166726 16454135 19744962 23035789 23611210 32908270 35416815 46071578 49362405 69107367 70833630 98724810 115178945 138214734 194158793 230357890 345536835 388317586 582476379 691073670 970793965 1164952758 1359111551 1941587930 2718223102 2912381895 4077334653 5824763790 6795557755 8154669306 13591115510 18813657959 20386673265 37627315918 40773346530 56440973877 94068289795 112881947754 131695605713 188136579590 263391211426 282204869385 395086817139 564409738770 658478028565 790173634278 1110005819581 1316956057130 1975434085695 2220011639162 3330017458743 3950868171390 5550029097905 6660034917486 7770040737067 11100058195810 15540081474134 16650087293715 23310122211201 33300174587430 38850203685335 46620244422402 77700407370670 116550611056005 233101222112010