Search a number
-
+
131012224202440 = 2357467900800723
BaseRepresentation
bin11101110010011110101001…
…000101011011011011001000
3122011212122110011102112112101
4131302132221011123123020
5114133001013343434230
61142350103535323144
736411215022362620
oct3562365105333310
9564778404375471
10131012224202440
1138820a77098369
121283b0689804b4
1358145272949b9
14244d04dd05880
151022dde0baaca
hex7727a915b6c8

131012224202440 has 32 divisors (see below), whose sum is σ = 336888576521280. Its totient is φ = 44918476869312.

The previous prime is 131012224202417. The next prime is 131012224202443. The reversal of 131012224202440 is 44202422210131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131012224202399 and 131012224202408.

It is not an unprimeable number, because it can be changed into a prime (131012224202443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233950400082 + ... + 233950400641.

It is an arithmetic number, because the mean of its divisors is an integer number (10527768016290).

Almost surely, 2131012224202440 is an apocalyptic number.

131012224202440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012224202440 is an abundant number, since it is smaller than the sum of its proper divisors (205876352318840).

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

131012224202440 is a wasteful number, since it uses less digits than its factorization.

131012224202440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467900800741 (or 467900800737 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 131012224202440 its reverse (44202422210131), we get a palindrome (175214646412571).

The spelling of 131012224202440 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, two hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 467900800723 935801601446 1871603202892 2339504003615 3275305605061 3743206405784 4679008007230 6550611210122 9358016014460 13101222420244 16376528025305 18716032028920 26202444840488 32753056050610 65506112101220 131012224202440