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13202213304 = 2337424318521
BaseRepresentation
bin11000100101110100…
…11100100110111000
31021002002021220222010
430102322130212320
5204014231311204
610022013125520
7645106650540
oct142272344670
937062256863
1013202213304
11566533a295
1226854898a0
131325252547
148d3566320
15524096d89
hex312e9c9b8

13202213304 has 64 divisors (see below), whose sum is σ = 37731536640. Its totient is φ = 3770968320.

The previous prime is 13202213303. The next prime is 13202213317. The reversal of 13202213304 is 40331220231.

13202213304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132022133042 (a number of 21 digits) contains 22 as substring.

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 (13202213303) 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 15 ways as a sum of consecutive naturals, for example, 703564 + ... + 722084.

It is an arithmetic number, because the mean of its divisors is an integer number (589555260).

Almost surely, 213202213304 is an apocalyptic number.

13202213304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13202213304 is an abundant number, since it is smaller than the sum of its proper divisors (24529323336).

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

13202213304 is a wasteful number, since it uses less digits than its factorization.

13202213304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22780 (or 22776 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13202213304 its reverse (40331220231), we get a palindrome (53533433535).

The spelling of 13202213304 in words is "thirteen billion, two hundred two million, two hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 4243 8486 12729 16972 18521 25458 29701 33944 37042 50916 55563 59402 74084 89103 101832 111126 118804 129647 148168 178206 222252 237608 259294 356412 388941 444504 518588 712824 777882 1037176 1555764 3111528 78584603 157169206 235753809 314338412 471507618 550092221 628676824 943015236 1100184442 1650276663 1886030472 2200368884 3300553326 4400737768 6601106652 13202213304