Search a number
-
+
102213321892 = 221131716771559
BaseRepresentation
bin101111100110001100…
…0111000010010100100
3100202211102101202002121
41133030120320102210
53133313102300032
6114542310115324
710245640621003
oct1371430702244
9322742352077
10102213321892
113a391834650
121798704bb44
13983c226976
144d38da8c3a
1529d36d8a97
hex17cc6384a4

102213321892 has 96 divisors (see below), whose sum is σ = 204699156480. Its totient is φ = 44234736000.

The previous prime is 102213321887. The next prime is 102213321893. The reversal of 102213321892 is 298123312201.

102213321892 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102213321893) 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, 65562609 + ... + 65564167.

It is an arithmetic number, because the mean of its divisors is an integer number (2132282880).

Almost surely, 2102213321892 is an apocalyptic number.

It is an amenable number.

102213321892 is an abundant number, since it is smaller than the sum of its proper divisors (102485834588).

102213321892 is a wasteful number, since it uses less digits than its factorization.

102213321892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 102213321892 in words is "one hundred two billion, two hundred thirteen million, three hundred twenty-one thousand, eight hundred ninety-two".

Divisors: 1 2 4 11 22 31 44 62 71 124 142 284 341 677 682 781 1354 1364 1559 1562 2201 2708 3118 3124 4402 6236 7447 8804 14894 17149 20987 24211 29788 34298 41974 48067 48329 48422 68596 83948 96134 96658 96844 110689 192268 193316 221378 230857 442756 461714 528737 531619 923428 1055443 1057474 1063238 1217579 1490077 2110886 2114948 2126476 2435158 2980154 3431359 4221772 4870316 5960308 6862718 11609873 13725436 16390847 23219746 32718733 32781694 37744949 46439492 65437466 65563388 74936453 75489898 130874932 149872906 150979796 299745812 359906063 719812126 824300983 1439624252 1648601966 2323030043 3297203932 4646060086 9292120172 25553330473 51106660946 102213321892