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201012022112022 = 2321116745611332847
BaseRepresentation
bin101101101101000111000010…
…001011000110111100010110
3222100201120011102210001101200
4231231013002023012330112
5202321340110130041042
61551303351555333330
760224432203324032
oct5555070213067426
9870646142701350
10201012022112022
11590597a1122a10
121a6655875b1246
138821477161a74
14378d0689a31c2
151838bb5e92c4c
hexb6d1c22c6f16

201012022112022 has 96 divisors (see below), whose sum is σ = 478069503335424. Its totient is φ = 60534666489600.

The previous prime is 201012022112003. The next prime is 201012022112123. The reversal of 201012022112022 is 220211220210102.

It is a happy number.

201012022112022 is a `hidden beast` number, since 201 + 0 + 120 + 221 + 120 + 2 + 2 = 666.

201012022112022 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201012022111986 and 201012022112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150147603 + ... + 151480449.

It is an arithmetic number, because the mean of its divisors is an integer number (4979890659744).

Almost surely, 2201012022112022 is an apocalyptic number.

201012022112022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201012022112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239034751667712).

201012022112022 is an abundant number, since it is smaller than the sum of its proper divisors (277057481223402).

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

201012022112022 is a wasteful number, since it uses less digits than its factorization.

201012022112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337594 (or 1337591 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201012022112022 its reverse (220211220210102), we get a palindrome (421223242322124).

It can be divided in two parts, 2010120 and 22112022, that added together give a palindrome (24122142).

The spelling of 201012022112022 in words is "two hundred one trillion, twelve billion, twenty-two million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 167 198 334 501 1002 1503 1837 3006 3674 4561 5511 9122 11022 13683 16533 27366 33066 41049 50171 82098 100342 150513 301026 451539 761687 903078 1332847 1523374 2285061 2665694 3998541 4570122 6855183 7997082 8378557 11995623 13710366 14661317 16757114 23991246 25135671 29322634 43983951 50271342 75407013 87967902 131951853 150814026 222585449 263903706 445170898 667756347 1335512694 2003269041 2448439939 4006538082 4896879878 6079115167 7345319817 12158230334 14690639634 18237345501 22035959451 36474691002 44071918902 54712036503 66870266837 109424073006 133740533674 200610800511 401221601022 601832401533 1015212232889 1203664803066 2030424465778 3045636698667 6091273397334 9136910096001 11167334561779 18273820192002 22334669123558 33502003685337 67004007370674 100506011056011 201012022112022