Search a number
-
+
1313203434030 = 23251071113112251
BaseRepresentation
bin10011000111000001000…
…001100011001000101110
311122112121101221101201100
4103013001001203020232
5133003420034342110
62443135523023530
7163606256005215
oct23070101431056
94575541841640
101313203434030
11466a21115644
1219261120aba6
1396ab06864b7
14477b8d4c07c
152425d15dbc0
hex131c106322e

1313203434030 has 96 divisors (see below), whose sum is σ = 3446829479808. Its totient is φ = 346855320000.

The previous prime is 1313203434013. The next prime is 1313203434071. The reversal of 1313203434030 is 304343023131.

1313203434030 is a `hidden beast` number, since 1 + 3 + 13 + 203 + 43 + 403 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1313203433985 and 1313203434003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107185405 + ... + 107197655.

It is an arithmetic number, because the mean of its divisors is an integer number (35904473748).

Almost surely, 21313203434030 is an apocalyptic number.

1313203434030 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 1313203434030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723414739904).

1313203434030 is an abundant number, since it is smaller than the sum of its proper divisors (2133626045778).

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

1313203434030 is a wasteful number, since it uses less digits than its factorization.

1313203434030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23502 (or 23499 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1313203434030 its reverse (304343023131), we get a palindrome (1617546457161).

The spelling of 1313203434030 in words is "one trillion, three hundred thirteen billion, two hundred three million, four hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 3210 4815 9630 11131 12251 22262 24502 33393 36753 55655 61255 66786 73506 100179 110259 111310 122510 166965 183765 200358 220518 333930 367530 500895 551295 1001790 1102590 1191017 1310857 2382034 2621714 3573051 3932571 5955085 6554285 7146102 7865142 10719153 11797713 11910170 13108570 17865255 19662855 21438306 23595426 35730510 39325710 53595765 58988565 107191530 117977130 136365881 272731762 409097643 681829405 818195286 1227292929 1363658810 2045488215 2454585858 4090976430 6136464645 12272929290 14591149267 29182298534 43773447801 72955746335 87546895602 131320343403 145911492670 218867239005 262640686806 437734478010 656601717015 1313203434030