Search a number
-
+
131514102330 = 23513477174801
BaseRepresentation
bin111101001111011011…
…0011111001000111010
3110120110102222121112220
41322132312133020322
54123320102233310
6140230003344510
712334020265602
oct1723666371072
9416412877486
10131514102330
1150858311676
12215a3982136
13c52b793980
1465185ddc02
15364ac46670
hex1e9ed9f23a

131514102330 has 64 divisors (see below), whose sum is σ = 347145619968. Its totient is φ = 31683916800.

The previous prime is 131514102311. The next prime is 131514102337. The reversal of 131514102330 is 33201415131.

It is a super-2 number, since 2×1315141023302 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131514102330.

It is not an unprimeable number, because it can be changed into a prime (131514102337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3569071 + ... + 3605730.

It is an arithmetic number, because the mean of its divisors is an integer number (5424150312).

Almost surely, 2131514102330 is an apocalyptic number.

131514102330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131514102330 is an abundant number, since it is smaller than the sum of its proper divisors (215631517638).

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

131514102330 is a wasteful number, since it uses less digits than its factorization.

131514102330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174871.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 131514102330 its reverse (33201415131), we get a palindrome (164715517461).

The spelling of 131514102330 in words is "one hundred thirty-one billion, five hundred fourteen million, one hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 195 235 282 390 470 611 705 1222 1410 1833 3055 3666 6110 9165 18330 7174801 14349602 21524403 35874005 43048806 71748010 93272413 107622015 186544826 215244030 279817239 337215647 466362065 559634478 674431294 932724130 1011646941 1399086195 1686078235 2023293882 2798172390 3372156470 4383803411 5058234705 8767606822 10116469410 13151410233 21919017055 26302820466 43838034110 65757051165 131514102330