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102214231224 = 2337608418043
BaseRepresentation
bin101111100110001110…
…0010110010010111000
3100202211111002221110120
41133030130112102320
53133313320344344
6114542341413240
710245651426060
oct1371434262270
9322744087416
10102214231224
113a3922a5866
121798740a220
13983c484831
144d391643a0
1529d3818219
hex17cc7164b8

102214231224 has 32 divisors (see below), whose sum is σ = 292040661120. Its totient is φ = 29204066016.

The previous prime is 102214231187. The next prime is 102214231237. The reversal of 102214231224 is 422132412201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102214231194 and 102214231203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304208854 + ... + 304209189.

It is an arithmetic number, because the mean of its divisors is an integer number (9126270660).

Almost surely, 2102214231224 is an apocalyptic number.

102214231224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102214231224 is an abundant number, since it is smaller than the sum of its proper divisors (189826429896).

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

102214231224 is a wasteful number, since it uses less digits than its factorization.

102214231224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608418059 (or 608418055 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102214231224 its reverse (422132412201), we get a palindrome (524346643425).

The spelling of 102214231224 in words is "one hundred two billion, two hundred fourteen million, two hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 608418043 1216836086 1825254129 2433672172 3650508258 4258926301 4867344344 7301016516 8517852602 12776778903 14602033032 17035705204 25553557806 34071410408 51107115612 102214231224