Search a number
-
+
10242040231 = 1923151269577
BaseRepresentation
bin10011000100111100…
…10010000110100111
3222102210012112220101
421202132102012213
5131433430241411
64412150244531
7511543622413
oct114236220647
928383175811
1010242040231
114386401465
121b9a056747
13c72ba3b47
146d2369d43
153ee26d8c1
hex2627921a7

10242040231 has 32 divisors (see below), whose sum is σ = 11386137600. Its totient is φ = 9169459200.

The previous prime is 10242040223. The next prime is 10242040243. The reversal of 10242040231 is 13204024201.

It is a cyclic number.

It is not a de Polignac number, because 10242040231 - 23 = 10242040223 is a prime.

It is a super-2 number, since 2×102420402312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 10242040199 and 10242040208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242040271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17750215 + ... + 17750791.

It is an arithmetic number, because the mean of its divisors is an integer number (355816800).

Almost surely, 210242040231 is an apocalyptic number.

10242040231 is a deficient number, since it is larger than the sum of its proper divisors (1144097369).

10242040231 is a wasteful number, since it uses less digits than its factorization.

10242040231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10242040231 its reverse (13204024201), we get a palindrome (23446064432).

The spelling of 10242040231 in words is "ten billion, two hundred forty-two million, forty thousand, two hundred thirty-one".

Divisors: 1 19 23 151 269 437 577 2869 3473 5111 6187 10963 13271 40619 65987 87127 117553 155213 252149 771761 934237 1655413 2003921 2949047 3569899 17750503 23437163 38074499 67828081 445306097 539054749 10242040231