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142122000 = 2435323687
BaseRepresentation
bin10000111100010…
…01110000010000
3100220102112201210
420132021300100
5242340401000
622034100120
73344005566
oct1036116020
9326375653
10142122000
11732513a9
123b71a640
13235a1177
1414c37a36
15c725350
hex8789c10

142122000 has 80 divisors (see below), whose sum is σ = 458220672. Its totient is φ = 37897600.

The previous prime is 142121983. The next prime is 142122007. The reversal of 142122000 is 221241.

142122000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (142122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5844 + ... + 17843.

Almost surely, 2142122000 is an apocalyptic number.

142122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142122000 is an abundant number, since it is smaller than the sum of its proper divisors (316098672).

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

142122000 is a wasteful number, since it uses less digits than its factorization.

142122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23713 (or 23697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 142122000 is about 11921.4931950658. The cubic root of 142122000 is about 521.8597118640.

Adding to 142122000 its reverse (221241), we get a palindrome (142343241).

The spelling of 142122000 in words is "one hundred forty-two million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 23687 47374 71061 94748 118435 142122 189496 236870 284244 355305 378992 473740 568488 592175 710610 947480 1136976 1184350 1421220 1776525 1894960 2368700 2842440 2960875 3553050 4737400 5684880 5921750 7106100 8882625 9474800 11843500 14212200 17765250 23687000 28424400 35530500 47374000 71061000 142122000