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133143102 = 236531723
BaseRepresentation
bin1111110111110…
…01101000111110
3100021112101000000
413323321220332
5233041034402
621113415130
73204461211
oct773715076
9307471000
10133143102
1169179424
123870a4a6
1321779301
141397b778
15ba4ec1c
hex7ef9a3e

133143102 has 56 divisors (see below), whose sum is σ = 305261784. Its totient is φ = 43518384.

The previous prime is 133143091. The next prime is 133143103. The reversal of 133143102 is 201341331.

It is a super-2 number, since 2×1331431022 = 35454171220364808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133143103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 76413 + ... + 78135.

Almost surely, 2133143102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133143102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152630892).

133143102 is an abundant number, since it is smaller than the sum of its proper divisors (172118682).

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

133143102 is an equidigital number, since it uses as much as digits as its factorization.

133143102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133143102 is about 11538.7651852354. The cubic root of 133143102 is about 510.6298791823.

Adding to 133143102 its reverse (201341331), we get a palindrome (334484433).

The spelling of 133143102 in words is "one hundred thirty-three million, one hundred forty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 729 954 1431 1458 1723 2862 3446 4293 5169 8586 10338 12879 15507 25758 31014 38637 46521 77274 91319 93042 139563 182638 273957 279126 418689 547914 821871 837378 1256067 1643742 2465613 2512134 4931226 7396839 14793678 22190517 44381034 66571551 133143102