Search a number
-
+
131031242303100 = 22352735983161749
BaseRepresentation
bin11101110010110000010110…
…101001101110011001111100
3122011221110112120100011002220
4131302300112221232121330
5114133303441012144400
61142402531031245340
736412460222514336
oct3562602651563174
9564843476304086
10131031242303100
1138829046336927
1212842895b19850
1358162683cc1b9
14244dd35a32456
151023653a2d7a0
hex772c16a6e67c

131031242303100 has 72 divisors (see below), whose sum is σ = 384310445526000. Its totient is φ = 34463011668480.

The previous prime is 131031242303099. The next prime is 131031242303111. The reversal of 131031242303100 is 1303242130131.

It is a super-2 number, since 2×1310312423031002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 2991558975 + ... + 2991602774.

It is an arithmetic number, because the mean of its divisors is an integer number (5337645076750).

Almost surely, 2131031242303100 is an apocalyptic number.

131031242303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131031242303100 is an abundant number, since it is smaller than the sum of its proper divisors (253279203222900).

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

131031242303100 is a wasteful number, since it uses less digits than its factorization.

131031242303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5983161839 (or 5983161832 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131031242303100 its reverse (1303242130131), we get a palindrome (132334484433231).

The spelling of 131031242303100 in words is "one hundred thirty-one trillion, thirty-one billion, two hundred forty-two million, three hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 730 876 1095 1460 1825 2190 3650 4380 5475 7300 10950 21900 5983161749 11966323498 17949485247 23932646996 29915808745 35898970494 59831617490 71797940988 89747426235 119663234980 149579043725 179494852470 299158087450 358989704940 436770807677 448737131175 598316174900 873541615354 897474262350 1310312423031 1747083230708 1794948524700 2183854038385 2620624846062 4367708076770 5241249692124 6551562115155 8735416153540 10919270191925 13103124230310 21838540383850 26206248460620 32757810575775 43677080767700 65515621151550 131031242303100