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10121121231 = 313331978191
BaseRepresentation
bin10010110110100010…
…00000110111001111
3222010100200020012220
421123101000313033
5131212001334411
64352150430423
7505545053034
oct113321006717
928110606186
1010121121231
114324122201
121b65662413
13c53b17840
146c029138b
153e3835b06
hex25b440dcf

10121121231 has 16 divisors (see below), whose sum is σ = 14537456640. Its totient is φ = 6226426080.

The previous prime is 10121121223. The next prime is 10121121247. The reversal of 10121121231 is 13212112101.

10121121231 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 10121121231 - 23 = 10121121223 is a prime.

It is a super-2 number, since 2×101211212312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10121121231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121251) 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, 90346 + ... + 168536.

It is an arithmetic number, because the mean of its divisors is an integer number (908591040).

Almost surely, 210121121231 is an apocalyptic number.

10121121231 is a deficient number, since it is larger than the sum of its proper divisors (4416335409).

10121121231 is a wasteful number, since it uses less digits than its factorization.

10121121231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81526.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10121121231 its reverse (13212112101), we get a palindrome (23333233332).

The spelling of 10121121231 in words is "ten billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 13 39 3319 9957 43147 78191 129441 234573 1016483 3049449 259515929 778547787 3373707077 10121121231