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201123331310121 = 311178310614071047
BaseRepresentation
bin101101101110101110101100…
…101110000000001000101001
3222101010012110202200011221020
4231232232230232000020221
5202330201040303410441
61551430441034003053
760235452433024413
oct5556565456001051
9871105422604836
10201123331310121
11590a1a20282a20
121a683070876489
13882bb059674ac
1437945c79bd9b3
15183ba2ce95e66
hexb6ebacb80229

201123331310121 has 64 divisors (see below), whose sum is σ = 313778923186176. Its totient is φ = 113233701862400.

The previous prime is 201123331310089. The next prime is 201123331310149. The reversal of 201123331310121 is 121013133321102.

It is a cyclic number.

It is not a de Polignac number, because 201123331310121 - 25 = 201123331310089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201123331310091 and 201123331310100.

It is not an unprimeable number, because it can be changed into a prime (201123331310021) 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 63 ways as a sum of consecutive naturals, for example, 47367820 + ... + 51438866.

It is an arithmetic number, because the mean of its divisors is an integer number (4902795674784).

Almost surely, 2201123331310121 is an apocalyptic number.

It is an amenable number.

201123331310121 is a deficient number, since it is larger than the sum of its proper divisors (112655591876055).

201123331310121 is a wasteful number, since it uses less digits than its factorization.

201123331310121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072222.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 201123331310121 its reverse (121013133321102), we get a palindrome (322136464631223).

The spelling of 201123331310121 in words is "two hundred one trillion, one hundred twenty-three billion, three hundred thirty-one million, three hundred ten thousand, one hundred twenty-one".

Divisors: 1 3 11 17 33 51 83 187 249 561 913 1061 1411 2739 3183 4233 11671 15521 18037 35013 46563 54111 88063 198407 264189 595221 968693 1497071 2906079 4071047 4491213 12213141 16467781 44781517 49403343 69207799 134344551 207623397 337896901 761285789 1013690703 2283857367 3716865911 4319380867 5744247317 11150597733 12958142601 17232741951 47513189537 63186720487 73429474739 142539568611 189560161461 220288424217 358508611961 807724222129 1075525835883 2423172666387 3943594731571 6094646403337 11830784194713 18283939210011 67041110436707 201123331310121