Search a number
-
+
10259260101 = 3223103481181
BaseRepresentation
bin10011000110111111…
…11110001011000101
3222110222121102010100
421203133332023011
5132002332310401
64414003314313
7512143162206
oct114337761305
928428542110
1010259260101
1143950a2a62
121ba397b999
13c76622a0c
146d476d5ad
15400a20b86
hex2637fe2c5

10259260101 has 24 divisors (see below), whose sum is σ = 15613393536. Its totient is φ = 6478607520.

The previous prime is 10259260097. The next prime is 10259260117. The reversal of 10259260101 is 10106295201.

10259260101 is a `hidden beast` number, since 1 + 0 + 2 + 59 + 2 + 601 + 0 + 1 = 666.

It is not a de Polignac number, because 10259260101 - 22 = 10259260097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10259260171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219270 + ... + 261911.

It is an arithmetic number, because the mean of its divisors is an integer number (650558064).

Almost surely, 210259260101 is an apocalyptic number.

It is an amenable number.

10259260101 is a deficient number, since it is larger than the sum of its proper divisors (5354133435).

10259260101 is a wasteful number, since it uses less digits than its factorization.

10259260101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481313 (or 481310 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 10259260101 in words is "ten billion, two hundred fifty-nine million, two hundred sixty thousand, one hundred one".

Divisors: 1 3 9 23 69 103 207 309 927 2369 7107 21321 481181 1443543 4330629 11067163 33201489 49561643 99604467 148684929 446054787 1139917789 3419753367 10259260101