Search a number
-
+
31131333132 = 2235379619603
BaseRepresentation
bin11100111111100100…
…100111001000001100
32222100121002120200020
4130333210213020030
51002224110130012
622145044302140
72151314652114
oct347744471014
988317076606
1031131333132
111222590a399
1260499a1950
132c218967a3
1417147c2044
15c230eda8c
hex73f92720c

31131333132 has 48 divisors (see below), whose sum is σ = 74947299840. Its totient is φ = 10052422848.

The previous prime is 31131333131. The next prime is 31131333133. The reversal of 31131333132 is 23133313113.

It is an interprime number because it is at equal distance from previous prime (31131333131) and next prime (31131333133).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31131333131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259558 + ... + 360045.

It is an arithmetic number, because the mean of its divisors is an integer number (1561402080).

Almost surely, 231131333132 is an apocalyptic number.

It is an amenable number.

31131333132 is an abundant number, since it is smaller than the sum of its proper divisors (43815966708).

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

31131333132 is a wasteful number, since it uses less digits than its factorization.

31131333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619742 (or 619740 counting only the distinct ones).

The product of its digits is 1458, while the sum is 24.

Adding to 31131333132 its reverse (23133313113), we get a palindrome (54264646245).

The spelling of 31131333132 in words is "thirty-one billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 53 79 106 158 159 212 237 316 318 474 636 948 4187 8374 12561 16748 25122 50244 619603 1239206 1858809 2478412 3717618 7435236 32838959 48948637 65677918 97897274 98516877 131355836 146845911 195794548 197033754 293691822 394067508 587383644 2594277761 5188555522 7782833283 10377111044 15565666566 31131333132