Search a number
-
+
3020032131232 = 2517291131694089
BaseRepresentation
bin101011111100100111111…
…100010100000010100000
3101200201020020020222110111
4223330213330110002200
5343440011211144412
610231214505341104
7431122132364044
oct53744774240240
911621206228414
103020032131232
11a64874451436
12409376797794
1318ba31a778ac
14a6255584024
155385820a2a7
hex2bf27f140a0

3020032131232 has 96 divisors (see below), whose sum is σ = 6570155365200. Its totient is φ = 1360040951808.

The previous prime is 3020032131197. The next prime is 3020032131253. The reversal of 3020032131232 is 2321312300203.

It can be written as a sum of positive squares in 8 ways, for example, as 1031695244176 + 1988336887056 = 1015724^2 + 1410084^2 .

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, 935644 + ... + 2629732.

Almost surely, 23020032131232 is an apocalyptic number.

3020032131232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020032131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285077682600).

3020032131232 is an abundant number, since it is smaller than the sum of its proper divisors (3550123233968).

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

3020032131232 is a wasteful number, since it uses less digits than its factorization.

3020032131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694258 (or 1694250 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3020032131232 its reverse (2321312300203), we get a palindrome (5341344431435).

The spelling of 3020032131232 in words is "three trillion, twenty billion, thirty-two million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 113 116 136 226 232 272 452 464 493 544 904 928 986 1808 1921 1972 3277 3616 3842 3944 6554 7684 7888 13108 15368 15776 26216 30736 52432 55709 61472 104864 111418 222836 445672 891344 1694089 1782688 3388178 6776356 13552712 27105424 28799513 49128581 54210848 57599026 98257162 115198052 191432057 196514324 230396104 382864114 393028648 460792208 765728228 786057296 835185877 921584416 1531456456 1572114592 1670371754 3062912912 3254344969 3340743508 5551529653 6125825824 6508689938 6681487016 11103059306 13017379876 13362974032 22206118612 26034759752 26725948064 44412237224 52069519504 88824474448 94376004101 104139039008 177648948896 188752008202 377504016404 755008032808 1510016065616 3020032131232