Search a number
-
+
31310102032 = 24112310772287
BaseRepresentation
bin11101001010001110…
…100011111000010000
32222211001110222111121
4131022032203320100
51003110341231112
622214512052024
72155615322206
oct351216437020
988731428447
1031310102032
1112307811090
126099834014
132c4c9291c1
141730439076
15c33b62407
hex74a3a3e10

31310102032 has 80 divisors (see below), whose sum is σ = 69701824512. Its totient is φ = 13485676160.

The previous prime is 31310102027. The next prime is 31310102059. The reversal of 31310102032 is 23020101313.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 31310101997 and 31310102015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396993 + ... + 469279.

Almost surely, 231310102032 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 31310102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34850912256).

31310102032 is an abundant number, since it is smaller than the sum of its proper divisors (38391722480).

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

31310102032 is a wasteful number, since it uses less digits than its factorization.

31310102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72436 (or 72430 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31310102032 its reverse (23020101313), we get a palindrome (54330203345).

The spelling of 31310102032 in words is "thirty-one billion, three hundred ten million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 107 176 184 214 253 368 428 506 856 1012 1177 1712 2024 2354 2461 4048 4708 4922 9416 9844 18832 19688 27071 39376 54142 72287 108284 144574 216568 289148 433136 578296 795157 1156592 1590314 1662601 3180628 3325202 6361256 6650404 7734709 12722512 13300808 15469418 18288611 26601616 30938836 36577222 61877672 73154444 85081799 123755344 146308888 170163598 177898307 292617776 340327196 355796614 680654392 711593228 1361308784 1423186456 1956881377 2846372912 3913762754 7827525508 15655051016 31310102032