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142011100 = 225271118443
BaseRepresentation
bin10000111011011…
…10101011011100
3100220012220121101
420131232223130
5242323323400
622031442444
73343034350
oct1035565334
9326186541
10142011100
1173186050
123b686424
132356284a
1414c09460
15c70256a
hex876eadc

142011100 has 72 divisors (see below), whose sum is σ = 384225408. Its totient is φ = 44260800.

The previous prime is 142011097. The next prime is 142011101. The reversal of 142011100 is 1110241.

142011100 is digitally balanced in base 3, 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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142011101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1522 + ... + 16921.

It is an arithmetic number, because the mean of its divisors is an integer number (5336464).

Almost surely, 2142011100 is an apocalyptic number.

142011100 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 142011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192112704).

142011100 is an abundant number, since it is smaller than the sum of its proper divisors (242214308).

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

142011100 is a wasteful number, since it uses less digits than its factorization.

142011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18475 (or 18468 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 142011100 is about 11916.8410243655. The cubic root of 142011100 is about 521.7239381345.

Adding to 142011100 its reverse (1110241), we get a palindrome (143121341).

The spelling of 142011100 in words is "one hundred forty-two million, eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 18443 36886 73772 92215 129101 184430 202873 258202 368860 405746 461075 516404 645505 811492 922150 1014365 1291010 1420111 1844300 2028730 2582020 2840222 3227525 4057460 5071825 5680444 6455050 7100555 10143650 12910100 14201110 20287300 28402220 35502775 71005550 142011100