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133142050000 = 24552662841
BaseRepresentation
bin111101111111111100…
…0100111010011010000
3110201122220020220221001
41323333320213103100
54140133331100000
6141055320111344
712422245515661
oct1737770472320
9421586226831
10133142050000
1151513241873
1221979005554
13c72ab3350b
1466308cb368
1536e3b1646a
hex1effe274d0

133142050000 has 60 divisors (see below), whose sum is σ = 322432886412. Its totient is φ = 53256800000.

The previous prime is 133142049961. The next prime is 133142050001. The reversal of 133142050000 is 50241331.

It can be written as a sum of positive squares in 6 ways, for example, as 123040995984 + 10101054016 = 350772^2 + 100504^2 .

It is a super-3 number, since 3×1331420500003 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133142050000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133142050001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1281421 + ... + 1381420.

Almost surely, 2133142050000 is an apocalyptic number.

133142050000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133142050000 is an abundant number, since it is smaller than the sum of its proper divisors (189290836412).

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

133142050000 is an frugal number, since it uses more digits than its factorization.

133142050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662874 (or 2662848 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 133142050000 its reverse (50241331), we get a palindrome (133192291331).

The spelling of 133142050000 in words is "one hundred thirty-three billion, one hundred forty-two million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 10000 12500 25000 50000 2662841 5325682 10651364 13314205 21302728 26628410 42605456 53256820 66571025 106513640 133142050 213027280 266284100 332855125 532568200 665710250 1065136400 1331420500 1664275625 2662841000 3328551250 5325682000 6657102500 8321378125 13314205000 16642756250 26628410000 33285512500 66571025000 133142050000