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13220111232 = 273219603989
BaseRepresentation
bin11000100111111101…
…01110001110000000
31021010022222020022100
430103332232032000
5204033322024412
610023452510400
7645415043226
oct142376561600
937108866270
1013220111232
115674454269
12268b47b400
131328b7ac33
148d5aa4b16
1552592eedc
hex313fae380

13220111232 has 96 divisors (see below), whose sum is σ = 40044537000. Its totient is φ = 4174765056.

The previous prime is 13220111227. The next prime is 13220111237. The reversal of 13220111232 is 23211102231.

13220111232 is a `hidden beast` number, since 1 + 322 + 0 + 111 + 232 = 666.

13220111232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13220111227) and next prime (13220111237).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13220111237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280107 + ... + 323882.

Almost surely, 213220111232 is an apocalyptic number.

13220111232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13220111232 is an abundant number, since it is smaller than the sum of its proper divisors (26824425768).

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

13220111232 is a wasteful number, since it uses less digits than its factorization.

13220111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604028 (or 604013 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13220111232 its reverse (23211102231), we get a palindrome (36431213463).

Subtracting 13220111232 from its reverse (23211102231), we obtain a palindrome (9990990999).

The spelling of 13220111232 in words is "thirteen billion, two hundred twenty million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 603989 1207978 1811967 2415956 3623934 4831912 5435901 7247868 9663824 10871802 11475791 14495736 19327648 21743604 22951582 28991472 34427373 38655296 43487208 45903164 57982944 68854746 77310592 86974416 91806328 103282119 115965888 137709492 173948832 183612656 206564238 231931776 275418984 347897664 367225312 413128476 550837968 695795328 734450624 826256952 1101675936 1468901248 1652513904 2203351872 3305027808 4406703744 6610055616 13220111232