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135323020300 = 225213411125321
BaseRepresentation
bin111111000000111100…
…0010110110000001100
3110221021220010200201211
41332001320112300030
54204120143122200
6142055545544204
712530300456656
oct1760170266014
9427256120654
10135323020300
1152432354066
12222874a5064
13c9b79312a0
14679a4136d6
1537c0324aba
hex1f81e16c0c

135323020300 has 72 divisors (see below), whose sum is σ = 316328906432. Its totient is φ = 49951296000.

The previous prime is 135323020241. The next prime is 135323020303. The reversal of 135323020300 is 3020323531.

It is a happy number.

135323020300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1353230203002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135323020303) 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 23 ways as a sum of consecutive naturals, for example, 5331640 + ... + 5356960.

Almost surely, 2135323020300 is an apocalyptic number.

135323020300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135323020300 is an abundant number, since it is smaller than the sum of its proper divisors (181005886132).

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

135323020300 is a wasteful number, since it uses less digits than its factorization.

135323020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29459 (or 29452 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

Adding to 135323020300 its reverse (3020323531), we get a palindrome (138343343831).

The spelling of 135323020300 in words is "one hundred thirty-five billion, three hundred twenty-three million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 4111 8222 16444 20555 25321 41110 50642 53443 82220 101284 102775 106886 126605 205550 213772 253210 267215 329173 411100 506420 534430 633025 658346 1068860 1266050 1316692 1336075 1645865 2532100 2672150 3291730 5344300 6583460 8229325 16458650 32917300 104094631 208189262 416378524 520473155 1040946310 1353230203 2081892620 2602365775 2706460406 5204731550 5412920812 6766151015 10409463100 13532302030 27064604060 33830755075 67661510150 135323020300