Search a number
-
+
111355425630 = 232513911877499
BaseRepresentation
bin110011110110101001…
…1001111001101011110
3101122102112212201210100
41213231103033031132
53311023442110010
6123053405121530
711021330333451
oct1475523171536
9348375781710
10111355425630
1143253264489
12196b88592a6
13a66826c9c7
145565211498
152d6b0d52c0
hex19ed4cf35e

111355425630 has 96 divisors (see below), whose sum is σ = 291891600000. Its totient is φ = 29452383936.

The previous prime is 111355425551. The next prime is 111355425647. The reversal of 111355425630 is 36524553111.

111355425630 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 55 + 42 + 563 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14845621 + ... + 14853119.

It is an arithmetic number, because the mean of its divisors is an integer number (3040537500).

Almost surely, 2111355425630 is an apocalyptic number.

111355425630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111355425630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145945800000).

111355425630 is an abundant number, since it is smaller than the sum of its proper divisors (180536174370).

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

111355425630 is a wasteful number, since it uses less digits than its factorization.

111355425630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8838 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 111355425630 its reverse (36524553111), we get a palindrome (147879978741).

The spelling of 111355425630 in words is "one hundred eleven billion, three hundred fifty-five million, four hundred twenty-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1187 1251 1390 2085 2374 2502 3561 4170 5935 6255 7122 7499 10683 11870 12510 14998 17805 21366 22497 35610 37495 44994 53415 67491 74990 106830 112485 134982 164993 224970 329986 337455 494979 674910 824965 989958 1042361 1484937 1649930 2084722 2474895 2969874 3127083 4949790 5211805 6254166 7424685 8901313 9381249 10423610 14849370 15635415 17802626 18762498 26703939 31270830 44506565 46906245 53407878 80111817 89013130 93812490 133519695 160223634 267039390 400559085 801118170 1237282507 2474565014 3711847521 6186412535 7423695042 11135542563 12372825070 18559237605 22271085126 37118475210 55677712815 111355425630