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221101300113 = 31274261136193
BaseRepresentation
bin1100110111101010101…
…0100001100110010001
3210010200221002210111020
43031322222201212101
512110303413100423
6245323400110053
721655045020261
oct3157252414621
9703627083436
10221101300113
118584aa13301
1236a26465329
1317b07c11485
14a9b67637a1
155b40c314e3
hex337aaa1991

221101300113 has 16 divisors (see below), whose sum is σ = 297194919936. Its totient is φ = 146204835840.

The previous prime is 221101300039. The next prime is 221101300153. The reversal of 221101300113 is 311003101122.

It is a happy number.

221101300113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221101300113 - 28 = 221101299857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221101300092 and 221101300101.

It is not an unprimeable number, because it can be changed into a prime (221101300153) 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, 1555345 + ... + 1691537.

It is an arithmetic number, because the mean of its divisors is an integer number (18574682496).

Almost surely, 2221101300113 is an apocalyptic number.

It is an amenable number.

221101300113 is a deficient number, since it is larger than the sum of its proper divisors (76093619823).

221101300113 is a wasteful number, since it uses less digits than its factorization.

221101300113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140584.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 221101300113 its reverse (311003101122), we get a palindrome (532104401235).

The spelling of 221101300113 in words is "two hundred twenty-one billion, one hundred one million, three hundred thousand, one hundred thirteen".

Divisors: 1 3 127 381 4261 12783 136193 408579 541147 1623441 17296511 51889533 580318373 1740955119 73700433371 221101300113