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4013230221 = 32711132915361
BaseRepresentation
bin1110111100110101…
…0000100010001101
3101100200121012220100
43233031100202031
531204341331341
61502121241313
7201310615440
oct35715204215
911320535810
104013230221
11177a4002a0
12940033239
134bc5a4650
142a0dd9657
151874da3b6
hexef35088d

4013230221 has 96 divisors (see below), whose sum is σ = 8052145920. Its totient is φ = 1857945600.

The previous prime is 4013230211. The next prime is 4013230241. The reversal of 4013230221 is 1220323104.

4013230221 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 4013230221 - 27 = 4013230093 is a prime.

It is a super-2 number, since 2×40132302212 = 32212033613495417682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013230194 and 4013230203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013230211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253581 + ... + 268941.

It is an arithmetic number, because the mean of its divisors is an integer number (83876520).

Almost surely, 24013230221 is an apocalyptic number.

It is an amenable number.

4013230221 is an abundant number, since it is smaller than the sum of its proper divisors (4038915699).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4013230221 is a wasteful number, since it uses less digits than its factorization.

4013230221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15427 (or 15424 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4013230221 is about 63350.0609391972. The cubic root of 4013230221 is about 1589.1492648401.

Adding to 4013230221 its reverse (1220323104), we get a palindrome (5233553325).

The spelling of 4013230221 in words is "four billion, thirteen million, two hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 29 33 39 63 77 87 91 99 117 143 203 231 261 273 319 377 429 609 693 819 957 1001 1131 1287 1827 2233 2639 2871 3003 3393 4147 6699 7917 9009 12441 15361 20097 23751 29029 37323 46083 87087 107527 138249 168971 199693 261261 322581 445469 506913 599079 967743 1182797 1336407 1397851 1520739 1797237 2196623 3118283 3548391 4009221 4193553 4900159 5791097 6589869 9354849 10645173 12580659 14700477 15376361 17373291 19769607 28064547 34301113 40537679 44101431 46129083 52119873 63702067 102903339 121613037 138387249 191106201 308710017 364839111 445914469 573318603 1337743407 4013230221