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10122012213 = 331151172031
BaseRepresentation
bin10010110110101000…
…11010011000110101
3222010102100111102020
421123110122120311
5131212213342323
64352221503353
7505555453455
oct113324323065
928112314366
1010122012213
114324680655
121b65a11b59
13c5406a251
146c0443d65
153e395eae3
hex25b51a635

10122012213 has 16 divisors (see below), whose sum is σ = 13940785152. Its totient is φ = 6525918000.

The previous prime is 10122012181. The next prime is 10122012301. The reversal of 10122012213 is 31221022101.

10122012213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122012213 - 25 = 10122012181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122012192 and 10122012201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122012413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104508 + ... + 176538.

It is an arithmetic number, because the mean of its divisors is an integer number (871299072).

Almost surely, 210122012213 is an apocalyptic number.

It is an amenable number.

10122012213 is a deficient number, since it is larger than the sum of its proper divisors (3818772939).

10122012213 is a wasteful number, since it uses less digits than its factorization.

10122012213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73576.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10122012213 its reverse (31221022101), we get a palindrome (41343034314).

The spelling of 10122012213 in words is "ten billion, one hundred twenty-two million, twelve thousand, two hundred thirteen".

Divisors: 1 3 31 93 1511 4533 46841 72031 140523 216093 2232961 6698883 108838841 326516523 3374004071 10122012213