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142317100 = 225223431439
BaseRepresentation
bin10000111101110…
…01011000101100
3100220210110100201
420132321120230
5242413121400
622042203244
73345450442
oct1036713054
9326713321
10142317100
1173374a42
123b7b3524
132363bc03
1414c88b92
15c76306a
hex87b962c

142317100 has 72 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 53148480.

The previous prime is 142317073. The next prime is 142317113. The reversal of 142317100 is 1713241.

142317100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98181 + ... + 99619.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040).

Almost surely, 2142317100 is an apocalyptic number.

142317100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142317100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

142317100 is an abundant number, since it is smaller than the sum of its proper divisors (187661780).

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

142317100 is a wasteful number, since it uses less digits than its factorization.

142317100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 142317100 is about 11929.6730885637. The cubic root of 142317100 is about 522.0983994612.

The spelling of 142317100 in words is "one hundred forty-two million, three hundred seventeen thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 43 46 50 86 92 100 115 172 215 230 430 460 575 860 989 1075 1150 1439 1978 2150 2300 2878 3956 4300 4945 5756 7195 9890 14390 19780 24725 28780 33097 35975 49450 61877 66194 71950 98900 123754 132388 143900 165485 247508 309385 330970 618770 661940 827425 1237540 1423171 1546925 1654850 2846342 3093850 3309700 5692684 6187700 7115855 14231710 28463420 35579275 71158550 142317100