Search a number
-
+
142121100 = 223521143067
BaseRepresentation
bin10000111100010…
…01100010001100
3100220102111111110
420132021202030
5242340333400
622034052020
73344003142
oct1036114214
9326374443
10142121100
1173250760
123b71a010
13235a0934
1414c37592
15c724e50
hex878988c

142121100 has 72 divisors (see below), whose sum is σ = 448596288. Its totient is φ = 34452800.

The previous prime is 142121099. The next prime is 142121113. The reversal of 142121100 is 1121241.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18234 + ... + 24833.

It is an arithmetic number, because the mean of its divisors is an integer number (6230504).

Almost surely, 2142121100 is an apocalyptic number.

142121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142121100 is an abundant number, since it is smaller than the sum of its proper divisors (306475188).

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

142121100 is a wasteful number, since it uses less digits than its factorization.

142121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43095 (or 43088 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 142121100 is about 11921.4554480567. The cubic root of 142121100 is about 521.8586102876.

Adding to 142121100 its reverse (1121241), we get a palindrome (143242341).

The spelling of 142121100 in words is "one hundred forty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 43067 86134 129201 172268 215335 258402 430670 473737 516804 646005 861340 947474 1076675 1292010 1421211 1894948 2153350 2368685 2584020 2842422 3230025 4306700 4737370 5684844 6460050 7106055 9474740 11843425 12920100 14212110 23686850 28424220 35530275 47373700 71060550 142121100