Search a number
-
+
1112013311310 = 2325116431746883
BaseRepresentation
bin10000001011101001001…
…010001000110101001110
310221022022010020012202200
4100023221022020311032
5121204400401430220
62210504000302330
7143224504121526
oct20135112106516
93838263205680
101112013311310
11399669584650
1215b6230119a6
1380b299208c5
143bb70b8c686
151ddd54a0890
hex102e9288d4e

1112013311310 has 96 divisors (see below), whose sum is σ = 3158981175168. Its totient is φ = 269159578560.

The previous prime is 1112013311293. The next prime is 1112013311333. The reversal of 1112013311310 is 131133102111.

1112013311310 is a `hidden beast` number, since 1 + 1 + 1 + 20 + 1 + 331 + 1 + 310 = 666.

It is a super-2 number, since 2×11120133113102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 236872 + ... + 1510011.

It is an arithmetic number, because the mean of its divisors is an integer number (32906053908).

Almost surely, 21112013311310 is an apocalyptic number.

1112013311310 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 1112013311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579490587584).

1112013311310 is an abundant number, since it is smaller than the sum of its proper divisors (2046967863858).

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

1112013311310 is a wasteful number, since it uses less digits than its factorization.

1112013311310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747550 (or 1747547 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1112013311310 its reverse (131133102111), we get a palindrome (1243146413421).

The spelling of 1112013311310 in words is "one trillion, one hundred twelve billion, thirteen million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 643 990 1286 1929 3215 3858 5787 6430 7073 9645 11574 14146 19290 21219 28935 35365 42438 57870 63657 70730 106095 127314 212190 318285 636570 1746883 3493766 5240649 8734415 10481298 15721947 17468830 19215713 26203245 31443894 38431426 52406490 57647139 78609735 96078565 115294278 157219470 172941417 192157130 288235695 345882834 576471390 864707085 1123245769 1729414170 2246491538 3369737307 5616228845 6739474614 10109211921 11232457690 12355703459 16848686535 20218423842 24711406918 33697373070 37067110377 50546059605 61778517295 74134220754 101092119210 111201331131 123557034590 185335551885 222402662262 370671103770 556006655655 1112013311310