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13031100030 = 2351319292557
BaseRepresentation
bin11000010001011011…
…01100111001111110
31020122011022110200110
430020231230321332
5203141430200110
65553021410450
7640631344164
oct141055547176
936564273613
1013031100030
115587797363
122638109a26
1312c89705a0
148b8943234
15514046a20
hex308b6ce7e

13031100030 has 96 divisors (see below), whose sum is σ = 35546714784. Its totient is φ = 3038798592.

The previous prime is 13031099999. The next prime is 13031100031. The reversal of 13031100030 is 3000113031.

It is a junction number, because it is equal to n+sod(n) for n = 13031099979 and 13031100015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031100031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94512 + ... + 187068.

It is an arithmetic number, because the mean of its divisors is an integer number (370278279).

Almost surely, 213031100030 is an apocalyptic number.

13031100030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031100030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17773357392).

13031100030 is an abundant number, since it is smaller than the sum of its proper divisors (22515614754).

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

13031100030 is a wasteful number, since it uses less digits than its factorization.

13031100030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92618 (or 92599 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13031100030 its reverse (3000113031), we get a palindrome (16031213061).

The spelling of 13031100030 in words is "thirteen billion, thirty-one million, one hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 361 390 494 570 722 741 1083 1235 1482 1805 2166 2470 3610 3705 4693 5415 7410 9386 10830 14079 23465 28158 46930 70395 92557 140790 185114 277671 462785 555342 925570 1203241 1388355 1758583 2406482 2776710 3517166 3609723 5275749 6016205 7219446 8792915 10551498 12032410 17585830 18048615 22861579 26378745 33413077 36097230 45723158 52757490 66826154 68584737 100239231 114307895 137169474 167065385 200478462 228615790 334130770 342923685 434370001 501196155 685847370 868740002 1002392310 1303110003 2171850005 2606220006 4343700010 6515550015 13031100030