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242013040100 = 225213186163877
BaseRepresentation
bin1110000101100100011…
…0011110110111100100
3212010200022020020212122
43201121012132313210
512431120314240400
6303102415205112
723325210620246
oct3413106366744
9763608206778
10242013040100
1193701063047
123aaa1816798
1319a8b463310
14b9dbb80096
156466a47685
hex385919ede4

242013040100 has 36 divisors (see below), whose sum is σ = 565565861364. Its totient is φ = 89358660480.

The previous prime is 242013040079. The next prime is 242013040177. The reversal of 242013040100 is 1040310242.

It can be written as a sum of positive squares in 6 ways, for example, as 10299814144 + 231713225956 = 101488^2 + 481366^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93080639 + ... + 93083238.

Almost surely, 2242013040100 is an apocalyptic number.

242013040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242013040100 is an abundant number, since it is smaller than the sum of its proper divisors (323552821264).

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

242013040100 is a wasteful number, since it uses less digits than its factorization.

242013040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186163904 (or 186163897 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 242013040100 its reverse (1040310242), we get a palindrome (243053350342).

The spelling of 242013040100 in words is "two hundred forty-two billion, thirteen million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 186163877 372327754 744655508 930819385 1861638770 2420130401 3723277540 4654096925 4840260802 9308193850 9680521604 12100652005 18616387700 24201304010 48402608020 60503260025 121006520050 242013040100