Search a number
-
+
102013234313419 = 11137954716508441
BaseRepresentation
bin10111001100011111001110…
…100101111111100011001011
3111101012100222200212011022001
4113030133032211333203023
5101332341100441012134
61000544122145011431
730326133021354412
oct2714371645774313
9441170880764261
10102013234313419
112a56062a321570
12b536a21923b77
1344bca6448b6b0
141b296771c2479
15bbd8e9585414
hex5cc7ce97f8cb

102013234313419 has 32 divisors (see below), whose sum is σ = 121586656343040. Its totient is φ = 84367373126400.

The previous prime is 102013234313407. The next prime is 102013234313443. The reversal of 102013234313419 is 914313432310201.

It is not a de Polignac number, because 102013234313419 - 235 = 101978874575051 is a prime.

It is a super-2 number, since 2×1020132343134192 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102013234313449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2074762 + ... + 14433679.

It is an arithmetic number, because the mean of its divisors is an integer number (3799583010720).

Almost surely, 2102013234313419 is an apocalyptic number.

102013234313419 is a deficient number, since it is larger than the sum of its proper divisors (19573422029621).

102013234313419 is a wasteful number, since it uses less digits than its factorization.

102013234313419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16509091.

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 102013234313419 in words is "one hundred two trillion, thirteen billion, two hundred thirty-four million, three hundred thirteen thousand, four hundred nineteen".

Divisors: 1 11 13 79 143 547 869 1027 6017 7111 11297 43213 78221 475343 561769 6179459 16508441 181592851 214609733 1304166839 2360707063 9030117227 14345835229 16954168907 99331289497 117391523951 186495857977 713379260933 1291306763461 7847171870263 9273930392129 102013234313419