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13222213020 = 22325292532991
BaseRepresentation
bin11000101000001101…
…01111010110011100
31021010110221000102100
430110012233112130
5204034341304040
610024005525100
7645441646002
oct142406572634
937113830370
1013222213020
11567565a385
122690113790
1313294357b3
148d6090a72
15525be7b30
hex3141af59c

13222213020 has 72 divisors (see below), whose sum is σ = 41490408960. Its totient is φ = 3404338560.

The previous prime is 13222213009. The next prime is 13222213057. The reversal of 13222213020 is 2031222231.

13222213020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13222212984 and 13222213002.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1261276 + ... + 1271715.

It is an arithmetic number, because the mean of its divisors is an integer number (576255680).

Almost surely, 213222213020 is an apocalyptic number.

13222213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13222213020 is an abundant number, since it is smaller than the sum of its proper divisors (28268195940).

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

13222213020 is a wasteful number, since it uses less digits than its factorization.

13222213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533035 (or 2533030 counting only the distinct ones).

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

Adding to 13222213020 its reverse (2031222231), we get a palindrome (15253435251).

The spelling of 13222213020 in words is "thirteen billion, two hundred twenty-two million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 2532991 5065982 7598973 10131964 12664955 15197946 22796919 25329910 30395892 37994865 45593838 50659820 73456739 75989730 91187676 113984595 146913478 151979460 220370217 227969190 293826956 367283695 440740434 455938380 661110651 734567390 881480868 1101851085 1322221302 1469134780 2203702170 2644442604 3305553255 4407404340 6611106510 13222213020