Search a number
-
+
102213010332 = 22324169250007
BaseRepresentation
bin101111100110001011…
…1101100001110011100
3100202211101210220201100
41133030113230032130
53133313012312312
6114542255313100
710245635152446
oct1371427541634
9322741726640
10102213010332
113a391641564
1217986b1b790
13983c147c04
144d38d27496
1529d36765dc
hex17cc5ec39c

102213010332 has 36 divisors (see below), whose sum is σ = 264673530576. Its totient is φ = 33240002880.

The previous prime is 102213010309. The next prime is 102213010363. The reversal of 102213010332 is 233010312201.

102213010332 is a `hidden beast` number, since 10 + 2 + 21 + 301 + 0 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1022130103322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34623528 + ... + 34626479.

It is an arithmetic number, because the mean of its divisors is an integer number (7352042516).

Almost surely, 2102213010332 is an apocalyptic number.

102213010332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102213010332 is an abundant number, since it is smaller than the sum of its proper divisors (162460520244).

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

102213010332 is a wasteful number, since it uses less digits than its factorization.

102213010332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69250058 (or 69250053 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102213010332 its reverse (233010312201), we get a palindrome (335223322533).

The spelling of 102213010332 in words is "one hundred two billion, two hundred thirteen million, ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 69250007 138500014 207750021 277000028 415500042 623250063 831000084 1246500126 2493000252 2839250287 5678500574 8517750861 11357001148 17035501722 25553252583 34071003444 51106505166 102213010332