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142520011100 = 22527127174071
BaseRepresentation
bin1000010010111011011…
…0101100100101011100
3111121212110112201002122
42010232312230211130
54313340110323400
6145250042242112
713203531051305
oct2045666544534
9447773481078
10142520011100
1155495915845
12237557b6338
13105939a991c
146c801ab7ac
153a920a1685
hex212edac95c

142520011100 has 72 divisors (see below), whose sum is σ = 314785852416. Its totient is φ = 55996920000.

The previous prime is 142520011091. The next prime is 142520011133. The reversal of 142520011100 is 1110025241.

142520011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1887065 + ... + 1961135.

It is an arithmetic number, because the mean of its divisors is an integer number (4372025728).

Almost surely, 2142520011100 is an apocalyptic number.

142520011100 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 142520011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157392926208).

142520011100 is an abundant number, since it is smaller than the sum of its proper divisors (172265841316).

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

142520011100 is a wasteful number, since it uses less digits than its factorization.

142520011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74427 (or 74420 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 142520011100 its reverse (1110025241), we get a palindrome (143630036341).

The spelling of 142520011100 in words is "one hundred forty-two billion, five hundred twenty million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 271 284 355 542 710 1084 1355 1420 1775 2710 3550 5420 6775 7100 13550 19241 27100 38482 74071 76964 96205 148142 192410 296284 370355 384820 481025 740710 962050 1481420 1851775 1924100 3703550 5259041 7407100 10518082 20073241 21036164 26295205 40146482 52590410 80292964 100366205 105180820 131476025 200732410 262952050 401464820 501831025 525904100 1003662050 1425200111 2007324100 2850400222 5700800444 7126000555 14252001110 28504002220 35630002775 71260005550 142520011100