Search a number
-
+
31511343132 = 223253138111959
BaseRepresentation
bin11101010110001110…
…001111000000011100
310000100002011002101200
4131112032033000130
51004013400440012
622250501235500
72163610666023
oct352616170034
9100302132350
1031511343132
1112400371545
126135102b90
132c82529389
14174d0618ba
15c466643dc
hex75638f01c

31511343132 has 72 divisors (see below), whose sum is σ = 81222130080. Its totient is φ = 10297272960.

The previous prime is 31511343121. The next prime is 31511343137. The reversal of 31511343132 is 23134311513.

31511343132 is a `hidden beast` number, since 315 + 1 + 1 + 34 + 313 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31511343096 and 31511343105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31511343137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2628969 + ... + 2640927.

It is an arithmetic number, because the mean of its divisors is an integer number (1128085140).

Almost surely, 231511343132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31511343132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40611065040).

31511343132 is an abundant number, since it is smaller than the sum of its proper divisors (49710786948).

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

31511343132 is a wasteful number, since it uses less digits than its factorization.

31511343132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13403 (or 13398 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

Adding to 31511343132 its reverse (23134311513), we get a palindrome (54645654645).

The spelling of 31511343132 in words is "thirty-one billion, five hundred eleven million, three hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1381 1908 2762 4143 5524 8286 11959 12429 16572 23918 24858 35877 47836 49716 71754 73193 107631 143508 146386 215262 219579 292772 430524 439158 633827 658737 878316 1267654 1317474 1901481 2535308 2634948 3802962 5704443 7605924 11408886 16515379 22817772 33030758 49546137 66061516 99092274 148638411 198184548 297276822 594553644 875315087 1750630174 2625945261 3501260348 5251890522 7877835783 10503781044 15755671566 31511343132