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135322434200 = 2352709954319
BaseRepresentation
bin111111000000111011…
…0000111101010011000
3110221021212000220202102
41332001312013222120
54204120020343300
6142055525222532
712530262466142
oct1760166075230
9427255026672
10135322434200
1152431a93788
1222287261a48
13c9b7787595
14679a2ddc92
1537c025b0d5
hex1f81d87a98

135322434200 has 48 divisors (see below), whose sum is σ = 315068748000. Its totient is φ = 54052571520.

The previous prime is 135322434133. The next prime is 135322434209. The reversal of 135322434200 is 2434223531.

It is a happy number.

It is a super-2 number, since 2×1353224342002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135322434209) 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 11 ways as a sum of consecutive naturals, for example, 335360 + ... + 618959.

It is an arithmetic number, because the mean of its divisors is an integer number (6563932250).

Almost surely, 2135322434200 is an apocalyptic number.

135322434200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135322434200 is an abundant number, since it is smaller than the sum of its proper divisors (179746313800).

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

135322434200 is a wasteful number, since it uses less digits than its factorization.

135322434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955044 (or 955035 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 135322434200 its reverse (2434223531), we get a palindrome (137756657731).

The spelling of 135322434200 in words is "one hundred thirty-five billion, three hundred twenty-two million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 709 1418 2836 3545 5672 7090 14180 17725 28360 35450 70900 141800 954319 1908638 3817276 4771595 7634552 9543190 19086380 23857975 38172760 47715950 95431900 190863800 676612171 1353224342 2706448684 3383060855 5412897368 6766121710 13532243420 16915304275 27064486840 33830608550 67661217100 135322434200