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142133022 = 233171071447
BaseRepresentation
bin10000111100011…
…00011100011110
3100220110002212000
420132030130132
5242341224042
622034223130
73344052663
oct1036143436
9326402760
10142133022
1173259709
123b724aa6
13235a61a5
1414c3ba6a
15c72874c
hex878c71e

142133022 has 64 divisors (see below), whose sum is σ = 337789440. Its totient is φ = 44143488.

The previous prime is 142133011. The next prime is 142133023. The reversal of 142133022 is 220331241.

142133022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 142132986 and 142133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142133023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97503 + ... + 98949.

It is an arithmetic number, because the mean of its divisors is an integer number (5277960).

Almost surely, 2142133022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142133022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168894720).

142133022 is an abundant number, since it is smaller than the sum of its proper divisors (195656418).

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

142133022 is a wasteful number, since it uses less digits than its factorization.

142133022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 142133022 is about 11921.9554604100. The cubic root of 142133022 is about 521.8732021261.

Adding to 142133022 its reverse (220331241), we get a palindrome (362464263).

It can be divided in two parts, 1421 and 33022, that added together give a palindrome (34443).

The spelling of 142133022 in words is "one hundred forty-two million, one hundred thirty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 107 153 214 306 321 459 642 918 963 1447 1819 1926 2889 2894 3638 4341 5457 5778 8682 10914 13023 16371 24599 26046 32742 39069 49113 49198 73797 78138 98226 147594 154829 221391 309658 442782 464487 664173 928974 1328346 1393461 2632093 2786922 4180383 5264186 7896279 8360766 15792558 23688837 47377674 71066511 142133022