Search a number
-
+
2301132103221 = 371961911038447
BaseRepresentation
bin100001011111000110001…
…010010101111000110101
322010222121212000200101010
4201133012022111320311
5300200204304300341
64521043035022433
7325152125102040
oct41370612257065
98128555020333
102301132103221
118079a5099a86
12311b8459aa19
13138cc3aa4033
147d5380c9c57
153eccec64716
hex217c6295e35

2301132103221 has 64 divisors (see below), whose sum is σ = 3700791705600. Its totient is φ = 1242438492096.

The previous prime is 2301132103211. The next prime is 2301132103229. The reversal of 2301132103221 is 1223012311032.

2301132103221 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 2301132103221 - 215 = 2301132070453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301132103229) 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, 272415820 + ... + 272424266.

It is an arithmetic number, because the mean of its divisors is an integer number (57824870400).

Almost surely, 22301132103221 is an apocalyptic number.

2301132103221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2301132103221 is a deficient number, since it is larger than the sum of its proper divisors (1399659602379).

2301132103221 is a wasteful number, since it uses less digits than its factorization.

2301132103221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2301132103221 its reverse (1223012311032), we get a palindrome (3524144414253).

The spelling of 2301132103221 in words is "two trillion, three hundred one billion, one hundred thirty-two million, one hundred three thousand, two hundred twenty-one".

Divisors: 1 3 7 19 21 57 133 399 619 1103 1857 3309 4333 7721 8447 11761 12999 20957 23163 25341 35283 59129 62871 82327 146699 160493 177387 246981 440097 481479 682757 1123451 2048271 3370353 4779299 5228693 9317041 12972383 14337897 15686079 27951123 36600851 38917149 65219287 90806681 99345167 109802553 177023779 195657861 272420043 298035501 531071337 695416169 1239166453 2086248507 3717499359 5767248379 17301745137 40370738653 109577719201 121112215959 328733157603 767044034407 2301132103221