Search a number
-
+
990100202221 = 131928314164321
BaseRepresentation
bin11100110100001101001…
…00100010001011101101
310111122121210012120222001
432122012210202023231
5112210211122432341
62034502403252301
7131350414600564
oct16320644421355
93448553176861
10990100202221
11351998830339
1213ba7a67a091
137249b292c30
1435cc7728bdb
151ab4c59cd31
hexe6869222ed

990100202221 has 16 divisors (see below), whose sum is σ = 1126346885440. Its totient is φ = 862777059840.

The previous prime is 990100202219. The next prime is 990100202281. The reversal of 990100202221 is 122202001099.

It is a cyclic number.

It is not a de Polignac number, because 990100202221 - 21 = 990100202219 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 990100202221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990100202281) 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, 7012260 + ... + 7152061.

It is an arithmetic number, because the mean of its divisors is an integer number (70396680340).

Almost surely, 2990100202221 is an apocalyptic number.

It is an amenable number.

990100202221 is a deficient number, since it is larger than the sum of its proper divisors (136246683219).

990100202221 is a wasteful number, since it uses less digits than its factorization.

990100202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14164636.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 990100202221 in words is "nine hundred ninety billion, one hundred million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 13 19 247 283 3679 5377 69901 14164321 184136173 269122099 3498587287 4008502843 52110536959 76161554017 990100202221