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142332303000100 = 22523735914964513
BaseRepresentation
bin100000010111001101010010…
…010111000100001000100100
3200122221211112220210211220111
4200113031102113010020210
5122123433024032000400
61222414320214342404
741660112103503403
oct4027152227041044
9618854486724814
10142332303000100
11413958774a2424
1213b68b5435aa04
136155b563212c5
142720cc513763a
15116c5caa673ba
hex8173525c4224

142332303000100 has 72 divisors (see below), whose sum is σ = 309699179589800. Its totient is φ = 56778445946880.

The previous prime is 142332303000059. The next prime is 142332303000101. The reversal of 142332303000100 is 1000303233241.

It can be written as a sum of positive squares in 12 ways, for example, as 13663254675456 + 128669048324644 = 3696384^2 + 11343238^2 .

It is not an unprimeable number, because it can be changed into a prime (142332303000101) 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, 2206225444 + ... + 2206289956.

Almost surely, 2142332303000100 is an apocalyptic number.

142332303000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142332303000100 is an abundant number, since it is smaller than the sum of its proper divisors (167366876589700).

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

142332303000100 is a wasteful number, since it uses less digits than its factorization.

142332303000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124049 (or 124042 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 142332303000100 its reverse (1000303233241), we get a palindrome (143332606233341).

The spelling of 142332303000100 in words is "one hundred forty-two trillion, three hundred thirty-two billion, three hundred three million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 373 746 1492 1865 3730 7460 9325 18650 37300 59149 64513 118298 129026 236596 258052 295745 322565 591490 645130 1182980 1290260 1478725 1612825 2957450 3225650 5914900 6451300 22062577 24063349 44125154 48126698 88250308 96253396 110312885 120316745 220625770 240633490 441251540 481266980 551564425 601583725 1103128850 1203167450 2206257700 2406334900 3815879437 7631758874 15263517748 19079397185 38158794370 76317588740 95396985925 190793971850 381587943700 1423323030001 2846646060002 5693292120004 7116615150005 14233230300010 28466460600020 35583075750025 71166151500050 142332303000100