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3130301303232 = 263971307128599
BaseRepresentation
bin101101100011010100011…
…111110100100111000000
3102002020212002011022101220
4231203110133310213000
5402241324113200412
610354012432355040
7442104533026365
oct55432437644700
912066762138356
103130301303232
11aa760a52a444
1242680b6a5a80
13199255c6a76c
14ab7163d446c
155665dc7268c
hex2d8d47f49c0

3130301303232 has 112 divisors (see below), whose sum is σ = 8374106899200. Its totient is φ = 1031878582272.

The previous prime is 3130301303197. The next prime is 3130301303237. The reversal of 3130301303232 is 2323031030313.

3130301303232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31303013032322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3130301303237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24277269 + ... + 24405867.

It is an arithmetic number, because the mean of its divisors is an integer number (74768811600).

Almost surely, 23130301303232 is an apocalyptic number.

3130301303232 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 3130301303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187053449600).

3130301303232 is an abundant number, since it is smaller than the sum of its proper divisors (5243805595968).

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

3130301303232 is a wasteful number, since it uses less digits than its factorization.

3130301303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130018 (or 130008 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 3130301303232 its reverse (2323031030313), we get a palindrome (5453332333545).

The spelling of 3130301303232 in words is "three trillion, one hundred thirty billion, three hundred one million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1307 1552 2328 2614 3104 3921 4656 5228 6208 7842 9312 10456 15684 18624 20912 31368 41824 62736 83648 125472 126779 128599 250944 253558 257198 380337 385797 507116 514396 760674 771594 1014232 1028792 1521348 1543188 2028464 2057584 3042696 3086376 4056928 4115168 6085392 6172752 8113856 8230336 12170784 12345504 12474103 24341568 24691008 24948206 37422309 49896412 74844618 99792824 149689236 168078893 199585648 299378472 336157786 399171296 504236679 598756944 672315572 798342592 1008473358 1197513888 1344631144 2016946716 2395027776 2689262288 4033893432 5378524576 8067786864 10757049152 16135573728 16303652621 32271147456 32607305242 48910957863 65214610484 97821915726 130429220968 195643831452 260858441936 391287662904 521716883872 782575325808 1043433767744 1565150651616 3130301303232