Search a number
-
+
1111132110312 = 233273759584519
BaseRepresentation
bin10000001010110100101…
…000100111110111101000
310221020000201002120020200
4100022310220213313220
5121201044310012222
62210240321152200
7143163614050440
oct20126450476750
93836021076220
101111132110312
11399257122264
1215b417a8b660
1380a191a9ab3
143bac9b27120
151dd82e38eac
hex102b4a27de8

1111132110312 has 96 divisors (see below), whose sum is σ = 3532170345600. Its totient is φ = 308886141312.

The previous prime is 1111132110299. The next prime is 1111132110359. The reversal of 1111132110312 is 2130112311111.

1111132110312 is a `hidden beast` number, since 1 + 11 + 11 + 321 + 10 + 312 = 666.

It is a super-2 number, since 2×11111321103122 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29773612 + ... + 29810907.

It is an arithmetic number, because the mean of its divisors is an integer number (36793441100).

Almost surely, 21111132110312 is an apocalyptic number.

1111132110312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1111132110312 is an abundant number, since it is smaller than the sum of its proper divisors (2421038235288).

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

1111132110312 is a wasteful number, since it uses less digits than its factorization.

1111132110312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59584575 (or 59584568 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1111132110312 its reverse (2130112311111), we get a palindrome (3241244421423).

The spelling of 1111132110312 in words is "one trillion, one hundred eleven billion, one hundred thirty-two million, one hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 56 63 72 74 84 111 126 148 168 222 252 259 296 333 444 504 518 666 777 888 1036 1332 1554 2072 2331 2664 3108 4662 6216 9324 18648 59584519 119169038 178753557 238338076 357507114 417091633 476676152 536260671 715014228 834183266 1072521342 1251274899 1430028456 1668366532 2145042684 2204627203 2502549798 3336733064 3753824697 4290085368 4409254406 5005099596 6613881609 7507649394 8818508812 10010199192 13227763218 15015298788 15432390421 17637017624 19841644827 26455526436 30030597576 30864780842 39683289654 46297171263 52911052872 61729561684 79366579308 92594342526 123459123368 138891513789 158733158616 185188685052 277783027578 370377370104 555566055156 1111132110312