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1142124120 = 233253172567
BaseRepresentation
bin100010000010011…
…0110111001011000
32221121002220202100
41010010312321120
54314340432440
6305155403400
740205615634
oct10404667130
92847086670
101142124120
11536776835
1227a5b3560
1315280c2b7
14ab985dc4
156a407230
hex44136e58

1142124120 has 48 divisors (see below), whose sum is σ = 3711904560. Its totient is φ = 304566336.

The previous prime is 1142124119. The next prime is 1142124131. The reversal of 1142124120 is 214212411.

1142124120 is a `hidden beast` number, since 1 + 1 + 421 + 241 + 2 + 0 = 666.

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 = 1142124093 and 1142124102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1585924 + ... + 1586643.

It is an arithmetic number, because the mean of its divisors is an integer number (77331345).

Almost surely, 21142124120 is an apocalyptic number.

1142124120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142124120 is an abundant number, since it is smaller than the sum of its proper divisors (2569780440).

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

1142124120 is a wasteful number, since it uses less digits than its factorization.

1142124120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172584 (or 3172577 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1142124120 is about 33795.3268958890. The cubic root of 1142124120 is about 1045.2923397816.

Adding to 1142124120 its reverse (214212411), we get a palindrome (1356336531).

The spelling of 1142124120 in words is "one billion, one hundred forty-two million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3172567 6345134 9517701 12690268 15862835 19035402 25380536 28553103 31725670 38070804 47588505 57106206 63451340 76141608 95177010 114212412 126902680 142765515 190354020 228424824 285531030 380708040 571062060 1142124120