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10140262121 = 111247373907
BaseRepresentation
bin10010111000110100…
…00001111011101001
3222011200200200120202
421130122001323221
5131231401341441
64354113001545
7506166543263
oct113432017351
928150620522
1010140262121
114333a06020
121b6bb532b5
13c57a89c02
146c2a34b33
153e536719b
hex25c681ee9

10140262121 has 8 divisors (see below), whose sum is σ = 11063140704. Its totient is φ = 9217556320.

The previous prime is 10140262073. The next prime is 10140262159. The reversal of 10140262121 is 12126204101.

It is a happy number.

10140262121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10140262121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10140262093 and 10140262102.

It is not an unprimeable number, because it can be changed into a prime (10140222121) 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 7 ways as a sum of consecutive naturals, for example, 100250 + ... + 174156.

It is an arithmetic number, because the mean of its divisors is an integer number (1382892588).

Almost surely, 210140262121 is an apocalyptic number.

10140262121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10140262121 is a deficient number, since it is larger than the sum of its proper divisors (922878583).

10140262121 is a wasteful number, since it uses less digits than its factorization.

10140262121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86391.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10140262121 its reverse (12126204101), we get a palindrome (22266466222).

The spelling of 10140262121 in words is "ten billion, one hundred forty million, two hundred sixty-two thousand, one hundred twenty-one".

Divisors: 1 11 12473 73907 137203 812977 921842011 10140262121