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221214214042341 = 3139786367758829
BaseRepresentation
bin110010010011000101110010…
…101001011011001011100101
31002000020212112221000211200020
4302103011302221123023211
5212443333202243323331
62102252223524305353
764411125305402232
oct6223056251331345
91060225487024606
10221214214042341
116453846a869903
1220988968842259
1396585458cc250
143c8ab7a07c789
151a89451923c96
hexc93172a5b2e5

221214214042341 has 32 divisors (see below), whose sum is σ = 321287436610560. Its totient is φ = 134572284831744.

The previous prime is 221214214042337. The next prime is 221214214042343. The reversal of 221214214042341 is 143240412412122.

It is a happy number.

221214214042341 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 221214214042341 - 22 = 221214214042337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221214214042343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30614686 + ... + 37144143.

It is an arithmetic number, because the mean of its divisors is an integer number (10040232394080).

Almost surely, 2221214214042341 is an apocalyptic number.

It is an amenable number.

221214214042341 is a deficient number, since it is larger than the sum of its proper divisors (100073222568219).

221214214042341 is a wasteful number, since it uses less digits than its factorization.

221214214042341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67759805.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 221214214042341 its reverse (143240412412122), we get a palindrome (364454626454463).

The spelling of 221214214042341 in words is "two hundred twenty-one trillion, two hundred fourteen billion, two hundred fourteen million, forty-two thousand, three hundred forty-one".

Divisors: 1 3 13 39 97 291 863 1261 2589 3783 11219 33657 83711 251133 1088243 3264729 67758829 203276487 880864777 2642594331 6572606413 19717819239 58475869427 85443883369 175427608281 256331650107 760186302551 2280558907653 5672159334419 17016478003257 73738071347447 221214214042341