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135426422300 = 225213433240587
BaseRepresentation
bin111111000100000001…
…0110011011000011100
3110221120002201001121112
41332020002303120130
54204323131003200
6142114122121152
712532664411351
oct1761002633034
9427502631545
10135426422300
1152485759564
12222b60501b8
13ca031963c0
1467aa04c628
1537c944c535
hex1f880b361c

135426422300 has 72 divisors (see below), whose sum is σ = 317213353296. Its totient is φ = 49887912960.

The previous prime is 135426422293. The next prime is 135426422317. The reversal of 135426422300 is 3224624531.

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, 442607 + ... + 683193.

It is an arithmetic number, because the mean of its divisors is an integer number (4405741018).

Almost surely, 2135426422300 is an apocalyptic number.

135426422300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135426422300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158606676648).

135426422300 is an abundant number, since it is smaller than the sum of its proper divisors (181786930996).

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

135426422300 is a wasteful number, since it uses less digits than its factorization.

135426422300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241047 (or 241040 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 135426422300 in words is "one hundred thirty-five billion, four hundred twenty-six million, four hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 433 650 866 1300 1732 2165 4330 5629 8660 10825 11258 21650 22516 28145 43300 56290 112580 140725 240587 281450 481174 562900 962348 1202935 2405870 3127631 4811740 6014675 6255262 12029350 12510524 15638155 24058700 31276310 62552620 78190775 104174171 156381550 208348342 312763100 416696684 520870855 1041741710 1354264223 2083483420 2604354275 2708528446 5208708550 5417056892 6771321115 10417417100 13542642230 27085284460 33856605575 67713211150 135426422300