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221320030321413 = 322913911935113579
BaseRepresentation
bin110010010100101000010101…
…110010011111101100000101
31002000121222200110000202212100
4302110220111302133230011
5213002101410230241123
62102413003542342313
764421562446052462
oct6224502562375405
91060558613022770
10221320030321413
1164579330351511
12209a537a42a999
13966550a40002a
143c91d37766669
151a8c0965a5643
hexc94a15c9fb05

221320030321413 has 48 divisors (see below), whose sum is σ = 333366552792000. Its totient is φ = 141315405283584.

The previous prime is 221320030321387. The next prime is 221320030321457. The reversal of 221320030321413 is 314123030023122.

221320030321413 is a `hidden beast` number, since 2 + 2 + 1 + 320 + 0 + 3 + 0 + 321 + 4 + 13 = 666.

It is a de Polignac number, because none of the positive numbers 2k-221320030321413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221320030328413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40724058 + ... + 45837636.

It is an arithmetic number, because the mean of its divisors is an integer number (6945136516500).

Almost surely, 2221320030321413 is an apocalyptic number.

It is an amenable number.

221320030321413 is a deficient number, since it is larger than the sum of its proper divisors (112046522470587).

221320030321413 is a wasteful number, since it uses less digits than its factorization.

221320030321413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114946 (or 5114943 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 221320030321413 its reverse (314123030023122), we get a palindrome (535443060344535).

The spelling of 221320030321413 in words is "two hundred twenty-one trillion, three hundred twenty billion, thirty million, three hundred twenty-one thousand, four hundred thirteen".

Divisors: 1 3 9 29 87 139 261 417 1193 1251 3579 4031 10737 12093 34597 36279 103791 165827 311373 497481 1492443 4808983 5113579 14426949 15340737 43280847 46022211 148293791 444881373 710787481 1334644119 2132362443 6100499747 6397087329 18301499241 20612836949 54904497723 61838510847 176914492663 185515532541 530743477989 847969464833 1592230433967 2543908394499 7631725183497 24591114480157 73773343440471 221320030321413