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201123141422120 = 23571307230677549
BaseRepresentation
bin101101101110101110100001…
…011001101000110000101000
3222101010011222112100212120022
4231232232201121220300220
5202330200143201001440
61551430410132020012
760235444636014161
oct5556564131506050
9871104875325508
10201123141422120
11590a1933077295
121a683019161608
13882baa5510a28
1437945aa6b0768
15183ba1b487cb5
hexb6eba1668c28

201123141422120 has 64 divisors (see below), whose sum is σ = 460395481392000. Its totient is φ = 79057809250560.

The previous prime is 201123141422107. The next prime is 201123141422129. The reversal of 201123141422120 is 21224141321102.

It is a self number, because there is not a number n which added to its sum of digits gives 201123141422120.

It is not an unprimeable number, because it can be changed into a prime (201123141422129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114466895 + ... + 116210654.

It is an arithmetic number, because the mean of its divisors is an integer number (7193679396750).

Almost surely, 2201123141422120 is an apocalyptic number.

201123141422120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201123141422120 is an abundant number, since it is smaller than the sum of its proper divisors (259272339969880).

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

201123141422120 is a wasteful number, since it uses less digits than its factorization.

201123141422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230677938 (or 230677934 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 201123141422120 its reverse (21224141321102), we get a palindrome (222347282743222).

The spelling of 201123141422120 in words is "two hundred one trillion, one hundred twenty-three billion, one hundred forty-one million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 307 355 568 614 710 1228 1420 1535 2456 2840 3070 6140 12280 21797 43594 87188 108985 174376 217970 435940 871880 230677549 461355098 922710196 1153387745 1845420392 2306775490 4613550980 9227101960 16378105979 32756211958 65512423916 70818007543 81890529895 131024847832 141636015086 163781059790 283272030172 327562119580 354090037715 566544060344 655124239160 708180075430 1416360150860 2832720301720 5028078535553 10056157071106 20112314142212 25140392677765 40224628284424 50280785355530 100561570711060 201123141422120