Search a number
-
+
2320132310232 = 2331121017910333
BaseRepresentation
bin100001110000110010101…
…010011000010011011000
322012210200000021012110220
4201300302222120103120
5301003112332411412
64533504251240040
7326424020146422
oct41606252302330
98183600235426
102320132310232
11814a65226800
123157a7749020
1313aa312b4a89
148041b6b9812
1540542d4068c
hex21c32a984d8

2320132310232 has 96 divisors (see below), whose sum is σ = 6438695462640. Its totient is φ = 696109216000.

The previous prime is 2320132310203. The next prime is 2320132310239.

2320132310232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320132310239) 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 23 ways as a sum of consecutive naturals, for example, 3661863 + ... + 4248470.

Almost surely, 22320132310232 is an apocalyptic number.

2320132310232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2320132310232 is an abundant number, since it is smaller than the sum of its proper divisors (4118563152408).

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

2320132310232 is a wasteful number, since it uses less digits than its factorization.

2320132310232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7910465 (or 7910450 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 2320132310232 in words is "two trillion, three hundred twenty billion, one hundred thirty-two million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 121 132 202 242 264 303 363 404 484 606 726 808 968 1111 1212 1452 2222 2424 2904 3333 4444 6666 8888 12221 13332 24442 26664 36663 48884 73326 97768 146652 293304 7910333 15820666 23730999 31641332 47461998 63282664 87013663 94923996 174027326 189847992 261040989 348054652 522081978 696109304 798943633 957150293 1044163956 1597887266 1914300586 2088327912 2396830899 2871450879 3195774532 3828601172 4793661798 5742901758 6391549064 7657202344 8788379963 9587323596 11485803516 17576759926 19174647192 22971607032 26365139889 35153519852 52730279778 70307039704 96672179593 105460559556 193344359186 210921119112 290016538779 386688718372 580033077558 773377436744 1160066155116 2320132310232