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12200131333 = 1359611072437
BaseRepresentation
bin10110101110010111…
…10011101100000101
31011111020200212221001
423113023303230011
5144441213200313
65334335053301
7611221256005
oct132713635405
934436625831
1012200131333
1151a0724275
122445971231
1311c5766830
1483a436005
154b6103add
hex2d72f3b05

12200131333 has 32 divisors (see below), whose sum is σ = 13712872320. Its totient is φ = 10783100160.

The previous prime is 12200131327. The next prime is 12200131357. The reversal of 12200131333 is 33313100221.

It is a cyclic number.

It is not a de Polignac number, because 12200131333 - 29 = 12200130821 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12200131333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200131373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5004991 + ... + 5007427.

It is an arithmetic number, because the mean of its divisors is an integer number (428527260).

Almost surely, 212200131333 is an apocalyptic number.

12200131333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12200131333 is a deficient number, since it is larger than the sum of its proper divisors (1512740987).

12200131333 is a wasteful number, since it uses less digits than its factorization.

12200131333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 12200131333 its reverse (33313100221), we get a palindrome (45513231554).

The spelling of 12200131333 in words is "twelve billion, two hundred million, one hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 13 59 61 107 767 793 1391 2437 3599 6313 6527 31681 46787 82069 84851 143783 148657 260759 385093 1869179 1932541 3389867 5006209 8770763 15384781 15906299 114019919 200002153 206781887 938471641 12200131333