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23014001310 = 23561109111527
BaseRepresentation
bin10101011011101111…
…011100101010011110
32012101212220101202220
4111123233130222132
5334113041020220
614323353530210
71443210532506
oct253357345236
965355811686
1023014001310
11983a8928a3
124563413966
132229c52071
1411846d4a06
158ea678540
hex55bbdca9e

23014001310 has 64 divisors (see below), whose sum is σ = 56195403264. Its totient is φ = 6030403200.

The previous prime is 23014001281. The next prime is 23014001317. The reversal of 23014001310 is 1310041032.

It is a super-2 number, since 2×230140013102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23014001310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23014001317) 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, 1990767 + ... + 2002293.

It is an arithmetic number, because the mean of its divisors is an integer number (878053176).

Almost surely, 223014001310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23014001310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28097701632).

23014001310 is an abundant number, since it is smaller than the sum of its proper divisors (33181401954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23014001310 is a wasteful number, since it uses less digits than its factorization.

23014001310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12689.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 23014001310 its reverse (1310041032), we get a palindrome (24324042342).

The spelling of 23014001310 in words is "twenty-three billion, fourteen million, one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1091 1830 2182 3273 5455 6546 10910 11527 16365 23054 32730 34581 57635 66551 69162 115270 133102 172905 199653 332755 345810 399306 665510 703147 998265 1406294 1996530 2109441 3515735 4218882 7031470 10547205 12575957 21094410 25151914 37727871 62879785 75455742 125759570 188639355 377278710 767133377 1534266754 2301400131 3835666885 4602800262 7671333770 11507000655 23014001310