Search a number
-
+
102243042319 = 11176757714143
BaseRepresentation
bin101111100111000101…
…0010000010000001111
3100202220111022200212011
41133032022100100033
53133343204323234
6114545251122051
710246451343325
oct1371612202017
9322814280764
10102243042319
113a3a7593a90
1217994ba3327
139845431612
144d3cd03d15
1529d6109b64
hex17ce29040f

102243042319 has 32 divisors (see below), whose sum is σ = 120077807616. Its totient is φ = 86019563520.

The previous prime is 102243042311. The next prime is 102243042331. The reversal of 102243042319 is 913240342201.

It is not a de Polignac number, because 102243042319 - 23 = 102243042311 is a prime.

It is a super-2 number, since 2×1022430423192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102243042311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7222162 + ... + 7236304.

It is an arithmetic number, because the mean of its divisors is an integer number (3752431488).

Almost surely, 2102243042319 is an apocalyptic number.

102243042319 is a deficient number, since it is larger than the sum of its proper divisors (17834765297).

102243042319 is a wasteful number, since it uses less digits than its factorization.

102243042319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14815.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 102243042319 in words is "one hundred two billion, two hundred forty-three million, forty-two thousand, three hundred nineteen".

Divisors: 1 11 17 67 187 577 737 1139 6347 9809 12529 14143 38659 107899 155573 240431 425249 657203 947581 2644741 7229233 8160511 10423391 16108877 89765621 138728687 177197647 546754237 1526015557 6014296607 9294822029 102243042319