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1013233221 = 3272111316067
BaseRepresentation
bin111100011001001…
…011011001000101
32121121120120200100
4330121023121011
54033341430341
6244313034313
734052224500
oct7431133105
92547516610
101013233221
1147aa42130
122433b5999
13131bc15b0
14987d4137
155de473b6
hex3c64b645

1013233221 has 72 divisors (see below), whose sum is σ = 2000273184. Its totient is φ = 485835840.

The previous prime is 1013233181. The next prime is 1013233289. The reversal of 1013233221 is 1223323101.

1013233221 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 1013233221 - 26 = 1013233157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013233194 and 1013233203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013233021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55030 + ... + 71096.

It is an arithmetic number, because the mean of its divisors is an integer number (27781572).

Almost surely, 21013233221 is an apocalyptic number.

1013233221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013233221 is a deficient number, since it is larger than the sum of its proper divisors (987039963).

1013233221 is a wasteful number, since it uses less digits than its factorization.

1013233221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16111 (or 16101 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1013233221 is about 31831.3245247508. The cubic root of 1013233221 is about 1004.3917578939.

Adding to 1013233221 its reverse (1223323101), we get a palindrome (2236556322).

It can be divided in two parts, 10 and 13233221, that added together give a palindrome (13233231).

The spelling of 1013233221 in words is "one billion, thirteen million, two hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 429 441 539 637 693 819 1001 1287 1617 1911 3003 4851 5733 7007 9009 16067 21021 48201 63063 112469 144603 176737 208871 337407 530211 626613 787283 1012221 1237159 1462097 1590633 1879839 2297581 2361849 3711477 4386291 6892743 7085547 8660113 10234679 11134431 13158873 16083067 20678229 25980339 30704037 48249201 77941017 92112111 112581469 144747603 337744407 1013233221