Search a number
-
+
100224052335 = 32511202472833
BaseRepresentation
bin101110101010111010…
…0011010110001101111
3100120200210020101021100
41131111310122301233
53120224324133320
6114013045134143
710145434250211
oct1352564326157
9316623211240
10100224052335
1139560956a20
12175109ba353
1395b30687a4
144bcab045b1
152918c45790
hex1755d1ac6f

100224052335 has 24 divisors (see below), whose sum is σ = 189514572624. Its totient is φ = 48593479680.

The previous prime is 100224052303. The next prime is 100224052373. The reversal of 100224052335 is 533250422001.

It is a happy number.

100224052335 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 405 + 233 + 5 = 666.

It is not a de Polignac number, because 100224052335 - 25 = 100224052303 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100224052299 and 100224052308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101235922 + ... + 101236911.

It is an arithmetic number, because the mean of its divisors is an integer number (7896440526).

Almost surely, 2100224052335 is an apocalyptic number.

100224052335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100224052335 is a deficient number, since it is larger than the sum of its proper divisors (89290520289).

100224052335 is a wasteful number, since it uses less digits than its factorization.

100224052335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202472855 (or 202472852 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 100224052335 its reverse (533250422001), we get a palindrome (633474474336).

The spelling of 100224052335 in words is "one hundred billion, two hundred twenty-four million, fifty-two thousand, three hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 202472833 607418499 1012364165 1822255497 2227201163 3037092495 6681603489 9111277485 11136005815 20044810467 33408017445 100224052335