Search a number
-
+
131032330002 = 232710110296427
BaseRepresentation
bin111101000001000100…
…0101010111100010010
3110112012212110001011100
41322002020222330102
54121323234030002
6140110113325230
712316050266550
oct1720210527422
9415185401140
10131032330002
1150630374a22
122148a566816
13c482a213a2
1464b0630bd0
15361d7ce11c
hex1e8222af12

131032330002 has 48 divisors (see below), whose sum is σ = 327673524672. Its totient is φ = 37067133600.

The previous prime is 131032329977. The next prime is 131032330063. The reversal of 131032330002 is 200033230131.

131032330002 is a `hidden beast` number, since 1 + 310 + 323 + 30 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5135488 + ... + 5160939.

It is an arithmetic number, because the mean of its divisors is an integer number (6826531764).

Almost surely, 2131032330002 is an apocalyptic number.

131032330002 is an abundant number, since it is smaller than the sum of its proper divisors (196641194670).

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

131032330002 is a wasteful number, since it uses less digits than its factorization.

131032330002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10296543 (or 10296540 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131032330002 its reverse (200033230131), we get a palindrome (331065560133).

The spelling of 131032330002 in words is "one hundred thirty-one billion, thirty-two million, three hundred thirty thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 6363 12726 10296427 20592854 30889281 61778562 72074989 92667843 144149978 185335686 216224967 432449934 648674901 1039939127 1297349802 2079878254 3119817381 6239634762 7279573889 9359452143 14559147778 18718904286 21838721667 43677443334 65516165001 131032330002