Search a number
-
+
1013302231312 = 24731409713569
BaseRepresentation
bin11101011111011011000…
…01010000000100010000
310120212111202220210100211
432233231201100010100
5113100220332400222
62053300555253504
7133131400565350
oct16575541200420
93525452823324
101013302231312
11360814769198
12144474a4a294
1374728169b27
1437088da6b60
151b5594b8277
hexebed850110

1013302231312 has 80 divisors (see below), whose sum is σ = 2321785523200. Its totient is φ = 419235471360.

The previous prime is 1013302231309. The next prime is 1013302231351. The reversal of 1013302231312 is 2131322033101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063264 + ... + 1776832.

It is an arithmetic number, because the mean of its divisors is an integer number (29022319040).

Almost surely, 21013302231312 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 1013302231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160892761600).

1013302231312 is an abundant number, since it is smaller than the sum of its proper divisors (1308483291888).

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

1013302231312 is a wasteful number, since it uses less digits than its factorization.

1013302231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714024 (or 714018 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1013302231312 its reverse (2131322033101), we get a palindrome (3144624264413).

The spelling of 1013302231312 in words is "one trillion, thirteen billion, three hundred two million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 409 434 496 818 868 1636 1736 2863 3272 3472 5726 6544 11452 12679 22904 25358 45808 50716 88753 101432 177506 202864 355012 710024 713569 1420048 1427138 2854276 4994983 5708552 9989966 11417104 19979932 22120639 39959864 44241278 79919728 88482556 154844473 176965112 291849721 309688946 353930224 583699442 619377892 1167398884 1238755784 2042948047 2334797768 2477511568 4085896094 4669595536 8171792188 9047341351 16343584376 18094682702 32687168752 36189365404 63331389457 72378730808 126662778914 144757461616 253325557828 506651115656 1013302231312