Search a number
-
+
1242523312100 = 225272377175361
BaseRepresentation
bin10010000101001100001…
…010010001111111100100
311101210011120211011221122
4102011030022101333210
5130324141431441400
62350450214433112
7155524612614620
oct22051412217744
94353146734848
101242523312100
11439a51020934
12180986662798
139022836c545
14441d1c94180
15224c2ea5685
hex1214c291fe4

1242523312100 has 72 divisors (see below), whose sum is σ = 3215434282368. Its totient is φ = 407485900800.

The previous prime is 1242523312091. The next prime is 1242523312109. The reversal of 1242523312100 is 12133252421.

It is an interprime number because it is at equal distance from previous prime (1242523312091) and next prime (1242523312109).

It is a super-3 number, since 3×12425233121003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1242523312100.

It is not an unprimeable number, because it can be changed into a prime (1242523312109) 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, 38571581 + ... + 38603780.

Almost surely, 21242523312100 is an apocalyptic number.

1242523312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242523312100 is an abundant number, since it is smaller than the sum of its proper divisors (1972910970268).

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

1242523312100 is a wasteful number, since it uses less digits than its factorization.

1242523312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77175405 (or 77175398 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 1242523312100 its reverse (12133252421), we get a palindrome (1254656564521).

The spelling of 1242523312100 in words is "one trillion, two hundred forty-two billion, five hundred twenty-three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 16100 77175361 154350722 308701444 385876805 540227527 771753610 1080455054 1543507220 1775033303 1929384025 2160910108 2701137635 3550066606 3858768050 5402275270 7100133212 7717536100 8875166515 10804550540 12425233121 13505688175 17750333030 24850466242 27011376350 35500666060 44375832575 49700932484 54022752700 62126165605 88751665150 124252331210 177503330300 248504662420 310630828025 621261656050 1242523312100