Search a number
-
+
112431041304 = 233313717922817
BaseRepresentation
bin110100010110101101…
…0011000101100011000
3101202012111211200002220
41220231122120230120
53320224321310204
6123352231224040
711060101040301
oct1505532305430
9352174750086
10112431041304
114375543445a
1219958b18020
13a7aa06379a
1456280037a8
152dd07511d9
hex1a2d698b18

112431041304 has 128 divisors (see below), whose sum is σ = 299664230400. Its totient is φ = 35089182720.

The previous prime is 112431041299. The next prime is 112431041309. The reversal of 112431041304 is 403140134211.

112431041304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112431041299) and next prime (112431041309).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112431041309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4916104 + ... + 4938920.

It is an arithmetic number, because the mean of its divisors is an integer number (2341126800).

Almost surely, 2112431041304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112431041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149832115200).

112431041304 is an abundant number, since it is smaller than the sum of its proper divisors (187233189096).

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

112431041304 is a wasteful number, since it uses less digits than its factorization.

112431041304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23073 (or 23069 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 112431041304 its reverse (403140134211), we get a palindrome (515571175515).

The spelling of 112431041304 in words is "one hundred twelve billion, four hundred thirty-one million, forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 179 186 222 248 296 358 372 444 537 716 744 888 1074 1147 1432 2148 2294 3441 4296 4588 5549 6623 6882 9176 11098 13246 13764 16647 19869 22196 22817 26492 27528 33294 39738 44392 45634 52984 66588 68451 79476 91268 133176 136902 158952 182536 205313 273804 410626 547608 615939 707327 821252 844229 1231878 1414654 1642504 1688458 2121981 2463756 2532687 2829308 3376916 4084243 4243962 4927512 5065374 5658616 6753832 8168486 8487924 10130748 12252729 16336972 16975848 20261496 24505458 26171099 32673944 49010916 52342198 78513297 98021832 104684396 126611533 151116991 157026594 209368792 253223066 302233982 314053188 379834599 453350973 506446132 604467964 628106376 759669198 906701946 1012892264 1208935928 1519338396 1813403892 3038676792 3626807784 4684626721 9369253442 14053880163 18738506884 28107760326 37477013768 56215520652 112431041304