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10224114012031 = 167223727377633
BaseRepresentation
bin1001010011000111110010…
…1011110000111101111111
31100012102020002021200010111
42110301330223300331333
52320002441141341111
633424520530050451
72103445035123343
oct224617453607577
940172202250114
1010224114012031
1132920278aa387
121191603119a27
1359218c28226a
14274bc7a47623
1512ae453c9a21
hex94c7caf0f7f

10224114012031 has 16 divisors (see below), whose sum is σ = 10345697316864. Its totient is φ = 10103374980864.

The previous prime is 10224114011977. The next prime is 10224114012041. The reversal of 10224114012031 is 13021041142201.

It is a cyclic number.

It is not a de Polignac number, because 10224114012031 - 211 = 10224114009983 is a prime.

It is a super-2 number, since 2×102241140120312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10224114011993 and 10224114012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224114012041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26885391 + ... + 27263023.

It is an arithmetic number, because the mean of its divisors is an integer number (646606082304).

Almost surely, 210224114012031 is an apocalyptic number.

10224114012031 is a deficient number, since it is larger than the sum of its proper divisors (121583304833).

10224114012031 is a wasteful number, since it uses less digits than its factorization.

10224114012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378750.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10224114012031 its reverse (13021041142201), we get a palindrome (23245155154232).

The spelling of 10224114012031 in words is "ten trillion, two hundred twenty-four billion, one hundred fourteen million, twelve thousand, thirty-one".

Divisors: 1 167 223 727 37241 121409 162121 377633 27074207 63064711 84212159 274539191 14063430553 45848044897 61222239593 10224114012031