Search a number
-
+
31321444110 = 23511222738011
BaseRepresentation
bin11101001010111001…
…110100111100001110
32222211211211012220120
4131022321310330032
51003121242202420
622215555125410
72156113611405
oct351271647416
988754735816
1031321444110
1112313158600
1260a15a3866
132c5209a8a8
141731b4c63c
15c34b52d40
hex74ae74f0e

31321444110 has 96 divisors (see below), whose sum is σ = 82992663936. Its totient is φ = 7559428800.

The previous prime is 31321444109. The next prime is 31321444169. The reversal of 31321444110 is 1144412313.

It is a super-2 number, since 2×313214441102 (a number of 22 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 47 ways as a sum of consecutive naturals, for example, 805005 + ... + 843015.

It is an arithmetic number, because the mean of its divisors is an integer number (864506916).

Almost surely, 231321444110 is an apocalyptic number.

31321444110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31321444110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41496331968).

31321444110 is an abundant number, since it is smaller than the sum of its proper divisors (51671219826).

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

31321444110 is a wasteful number, since it uses less digits than its factorization.

31321444110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38270 (or 38259 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31321444110 its reverse (1144412313), we get a palindrome (32465856423).

The spelling of 31321444110 in words is "thirty-one billion, three hundred twenty-one million, four hundred forty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 227 242 330 363 454 605 681 726 1135 1210 1362 1815 2270 2497 3405 3630 4994 6810 7491 12485 14982 24970 27467 37455 38011 54934 74910 76022 82401 114033 137335 164802 190055 228066 274670 380110 412005 418121 570165 824010 836242 1140330 1254363 2090605 2508726 4181210 4599331 6271815 8628497 9198662 12543630 13797993 17256994 22996655 25885491 27595986 43142485 45993310 51770982 68989965 86284970 94913467 129427455 137979930 189826934 258854910 284740401 474567335 569480802 949134670 1044048137 1423702005 2088096274 2847404010 3132144411 5220240685 6264288822 10440481370 15660722055 31321444110