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4132102221 = 33133411699
BaseRepresentation
bin1111011001001010…
…1110000001001101
3101122222021112122000
43312102232001031
531430304232341
61522005142513
7204253201152
oct36622560115
911588245560
104132102221
111830511615
129739baa39
1350b0c5000
142b2b00229
15192b6b8b6
hexf64ae04d

4132102221 has 64 divisors (see below), whose sum is σ = 6797280000. Its totient is φ = 2479351680.

The previous prime is 4132102201. The next prime is 4132102223. The reversal of 4132102221 is 1222012314.

It is a happy number.

4132102221 is a `hidden beast` number, since 413 + 210 + 22 + 21 = 666.

4132102221 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4132102221 - 211 = 4132100173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4132102194 and 4132102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132102223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2431230 + ... + 2432928.

It is an arithmetic number, because the mean of its divisors is an integer number (106207500).

Almost surely, 24132102221 is an apocalyptic number.

4132102221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4132102221 is a deficient number, since it is larger than the sum of its proper divisors (2665177779).

4132102221 is a wasteful number, since it uses less digits than its factorization.

4132102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4132102221 is about 64281.4298300839. The cubic root of 4132102221 is about 1604.6870662499.

Adding to 4132102221 its reverse (1222012314), we get a palindrome (5354114535).

The spelling of 4132102221 in words is "four billion, one hundred thirty-two million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 41 117 123 169 351 369 507 533 1107 1521 1599 1699 2197 4563 4797 5097 6591 6929 14391 15291 19773 20787 22087 45873 59319 62361 66261 69659 90077 187083 198783 208977 270231 287131 596349 626931 810693 861393 905567 1880793 2432079 2584179 2716701 3732703 7752537 8150103 11198109 11772371 24450309 33594327 35317113 100782981 105951339 153040823 317854017 459122469 1377367407 4132102221