Search a number
-
+
1132300131111 = 333114967713411
BaseRepresentation
bin10000011110100010010…
…110001101101100100111
311000020122221110102211000
4100132202112031230213
5122022422313143421
62224101013244343
7144543311212002
oct20364226155447
94006587412730
101132300131111
113a72299a5626
121635450336b3
1382a108600a6
143cb371b6539
151e6c14c5226
hex107a258db27

1132300131111 has 64 divisors (see below), whose sum is σ = 1745920512000. Its totient is φ = 724487587200.

The previous prime is 1132300131089. The next prime is 1132300131133. The reversal of 1132300131111 is 1111310032311.

1132300131111 is a `hidden beast` number, since 11 + 32 + 300 + 1 + 311 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (1132300131089) and next prime (1132300131133).

It is not a de Polignac number, because 1132300131111 - 215 = 1132300098343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132300131181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84423996 + ... + 84437406.

It is an arithmetic number, because the mean of its divisors is an integer number (27280008000).

Almost surely, 21132300131111 is an apocalyptic number.

1132300131111 is a deficient number, since it is larger than the sum of its proper divisors (613620380889).

1132300131111 is a wasteful number, since it uses less digits than its factorization.

1132300131111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14277 (or 14271 counting only the distinct ones).

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

Adding to 1132300131111 its reverse (1111310032311), we get a palindrome (2243610163422).

The spelling of 1132300131111 in words is "one trillion, one hundred thirty-two billion, three hundred million, one hundred thirty-one thousand, one hundred eleven".

Divisors: 1 3 9 27 31 93 149 279 447 677 837 1341 2031 4023 4619 6093 13411 13857 18279 20987 40233 41571 62961 100873 120699 124713 188883 302619 362097 415741 566649 907857 1247223 1998239 2723571 3127063 3741669 5994717 9079247 9381189 11225007 17984151 27237741 28143567 53952453 61945409 81713223 84430701 185836227 245139669 281456657 557508681 844369971 1352807803 1672526043 2533109913 4058423409 7599329739 12175270227 36525810681 41937041893 125811125679 377433377037 1132300131111