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135321420300 = 223521141006491
BaseRepresentation
bin111111000000111001…
…0010000001000001100
3110221021210010101221120
41332001302100020030
54204114240422200
6142055451400540
712530251044153
oct1760162201014
9427253111846
10135321420300
1152431460a50
1222286a53150
13c9b74c0c41
14679a11859a
1537c010a9a0
hex1f81c9020c

135321420300 has 72 divisors (see below), whose sum is σ = 427123620672. Its totient is φ = 32805192000.

The previous prime is 135321420293. The next prime is 135321420307. The reversal of 135321420300 is 3024123531.

It is an interprime number because it is at equal distance from previous prime (135321420293) and next prime (135321420307).

It is not an unprimeable number, because it can be changed into a prime (135321420307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20499946 + ... + 20506545.

Almost surely, 2135321420300 is an apocalyptic number.

135321420300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135321420300 is an abundant number, since it is smaller than the sum of its proper divisors (291802200372).

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

135321420300 is a wasteful number, since it uses less digits than its factorization.

135321420300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41006519 (or 41006512 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 135321420300 its reverse (3024123531), we get a palindrome (138345543831).

The spelling of 135321420300 in words is "one hundred thirty-five billion, three hundred twenty-one million, four hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 41006491 82012982 123019473 164025964 205032455 246038946 410064910 451071401 492077892 615097365 820129820 902142802 1025162275 1230194730 1353214203 1804285604 2050324550 2255357005 2460389460 2706428406 3075486825 4100649100 4510714010 5412856812 6150973650 6766071015 9021428020 11276785025 12301947300 13532142030 22553570050 27064284060 33830355075 45107140100 67660710150 135321420300