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221000022131 = 7671014665499
BaseRepresentation
bin1100110111010010100…
…0001011100001110011
3210010102212112100012212
43031310220023201303
512110102001202011
6245305341242335
721652405123220
oct3156450134163
9703385470185
10221000022131
11857a8829699
12369b85633ab
1317abcc41085
14a9a711c947
155b36dc808b
hex3374a0b873

221000022131 has 16 divisors (see below), whose sum is σ = 258879264000. Its totient is φ = 184753720800.

The previous prime is 221000022097. The next prime is 221000022169. The reversal of 221000022131 is 131220000122.

It is a happy number.

221000022131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221000022131 is a prime.

It is a super-2 number, since 2×2210000221312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221000022431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2285381 + ... + 2380118.

It is an arithmetic number, because the mean of its divisors is an integer number (16179954000).

Almost surely, 2221000022131 is an apocalyptic number.

221000022131 is a deficient number, since it is larger than the sum of its proper divisors (37879241869).

221000022131 is a wasteful number, since it uses less digits than its factorization.

221000022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665674.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 221000022131 its reverse (131220000122), we get a palindrome (352220022253).

The spelling of 221000022131 in words is "two hundred twenty-one billion, twenty-two thousand, one hundred thirty-one".

Divisors: 1 7 67 101 469 707 6767 47369 4665499 32658493 312588433 471215399 2188119031 3298507793 31571431733 221000022131