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133103550132 = 223371741261101
BaseRepresentation
bin111101111110110010…
…1101111111010110100
3110201120012210221001000
41323331211233322310
54140044002101012
6141051423003300
712421300336320
oct1737545577264
9421505727030
10133103550132
11514a35362a3
1221968139530
13c722b73727
146629748980
1536e055dddc
hex1efd96feb4

133103550132 has 576 divisors, whose sum is σ = 439336880640. Its totient is φ = 34007040000.

The previous prime is 133103550127. The next prime is 133103550137. The reversal of 133103550132 is 231055301331.

133103550132 is a `hidden beast` number, since 1 + 3 + 3 + 103 + 550 + 1 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133103550127) and next prime (133103550137).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133103550096 and 133103550105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133103550137) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1317856882 + ... + 1317856982.

It is an arithmetic number, because the mean of its divisors is an integer number (762737640).

Almost surely, 2133103550132 is an apocalyptic number.

133103550132 is a gapful number since it is divisible by the number (12) 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 133103550132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219668440320).

133103550132 is an abundant number, since it is smaller than the sum of its proper divisors (306233330508).

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

133103550132 is a wasteful number, since it uses less digits than its factorization.

133103550132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 133103550132 its reverse (231055301331), we get a palindrome (364158851463).

The spelling of 133103550132 in words is "one hundred thirty-three billion, one hundred three million, five hundred fifty thousand, one hundred thirty-two".