Search a number
-
+
132331123002 = 231317409244003
BaseRepresentation
bin111101100111110001…
…1001011000100111010
3110122120101100120012210
41323033203023010322
54132003231414002
6140443031115550
712363200662221
oct1731743130472
9418511316183
10132331123002
1151137518371
1221791512bb6
13c62bb25b60
146594d19cb8
15369783196c
hex1ecf8cb13a

132331123002 has 64 divisors (see below), whose sum is σ = 302525919360. Its totient is φ = 38228281344.

The previous prime is 132331122997. The next prime is 132331123007. The reversal of 132331123002 is 200321133231.

It is an interprime number because it is at equal distance from previous prime (132331122997) and next prime (132331123007).

It is a super-2 number, since 2×1323311230022 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132331123002.

It is not an unprimeable number, because it can be changed into a prime (132331123007) 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, 420333 + ... + 664335.

It is an arithmetic number, because the mean of its divisors is an integer number (4726967490).

Almost surely, 2132331123002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132331123002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151262959680).

132331123002 is an abundant number, since it is smaller than the sum of its proper divisors (170194796358).

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

132331123002 is a wasteful number, since it uses less digits than its factorization.

132331123002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244447.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132331123002 its reverse (200321133231), we get a palindrome (332652256233).

The spelling of 132331123002 in words is "one hundred thirty-two billion, three hundred thirty-one million, one hundred twenty-three thousand, two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 409 442 663 818 1227 1326 2454 5317 6953 10634 13906 15951 20859 31902 41718 90389 180778 244003 271167 488006 542334 732009 1464018 3172039 4148051 6344078 8296102 9516117 12444153 19032234 24888306 53924663 99797227 107849326 161773989 199594454 299391681 323547978 598783362 1297363951 1696552859 2594727902 3393105718 3892091853 5089658577 7784183706 10179317154 22055187167 44110374334 66165561501 132331123002