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214321240100 = 225211194837491
BaseRepresentation
bin1100011110011010001…
…0101001100000100100
3202111012102020001122102
43013212202221200210
512002412214140400
6242242515551232
721325036324412
oct3074642514044
9674172201572
10214321240100
1182990830920
12356538bb518
1317297354846
14a5320da2b2
1558958ae9d5
hex31e68a9824

214321240100 has 36 divisors (see below), whose sum is σ = 507356829168. Its totient is φ = 77934996000.

The previous prime is 214321240097. The next prime is 214321240103. The reversal of 214321240100 is 1042123412.

214321240100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214321240097) and next prime (214321240103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (214321240103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97417646 + ... + 97419845.

Almost surely, 2214321240100 is an apocalyptic number.

214321240100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214321240100 is an abundant number, since it is smaller than the sum of its proper divisors (293035589068).

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

214321240100 is a wasteful number, since it uses less digits than its factorization.

214321240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194837516 (or 194837509 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 214321240100 its reverse (1042123412), we get a palindrome (215363363512).

The spelling of 214321240100 in words is "two hundred fourteen billion, three hundred twenty-one million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 194837491 389674982 779349964 974187455 1948374910 2143212401 3896749820 4286424802 4870937275 8572849604 9741874550 10716062005 19483749100 21432124010 42864248020 53580310025 107160620050 214321240100