Search a number
-
+
31003313232 = 2431961954919
BaseRepresentation
bin11100110111111100…
…010000010001010000
32222000200012111101110
4130313330100101100
51001443322010412
622124232333320
72145201546213
oct346774202120
988020174343
1031003313232
111216a620121
126012b44240
132c011c2378
1417017b977a
15c16c61d3c
hex737f10450

31003313232 has 80 divisors (see below), whose sum is σ = 84444992000. Its totient is φ = 9774525312.

The previous prime is 31003313221. The next prime is 31003313267. The reversal of 31003313232 is 23231330013.

It is a super-2 number, since 2×310033132322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31003313199 and 31003313208.

It is a congruent number.

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, 537069 + ... + 591987.

It is an arithmetic number, because the mean of its divisors is an integer number (1055562400).

Almost surely, 231003313232 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 31003313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42222496000).

31003313232 is an abundant number, since it is smaller than the sum of its proper divisors (53441678768).

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

31003313232 is a wasteful number, since it uses less digits than its factorization.

31003313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55568 (or 55562 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 31003313232 its reverse (23231330013), we get a palindrome (54234643245).

The spelling of 31003313232 in words is "thirty-one billion, three million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 619 912 1238 1857 2476 3714 4952 7428 9904 11761 14856 23522 29712 35283 47044 54919 70566 94088 109838 141132 164757 188176 219676 282264 329514 439352 564528 659028 878704 1043461 1318056 2086922 2636112 3130383 4173844 6260766 8347688 12521532 16695376 25043064 33994861 50086128 67989722 101984583 135979444 203969166 271958888 407938332 543917776 645902359 815876664 1291804718 1631753328 1937707077 2583609436 3875414154 5167218872 7750828308 10334437744 15501656616 31003313232