Search a number
-
+
11122331232 = 253241480737
BaseRepresentation
bin10100101101111000…
…10100111001100000
31001201010121222010210
422112330110321200
5140234304044412
65035354054120
7542423153445
oct122674247140
931633558123
1011122331232
1147982a2091
1221a4a1a340
1310833896ac
147772359cc
154516a583c
hex296f14e60

11122331232 has 48 divisors (see below), whose sum is σ = 29317326192. Its totient is φ = 3692052480.

The previous prime is 11122331203. The next prime is 11122331267. The reversal of 11122331232 is 23213322111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11122331199 and 11122331208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217233 + ... + 263504.

It is an arithmetic number, because the mean of its divisors is an integer number (610777629).

Almost surely, 211122331232 is an apocalyptic number.

11122331232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11122331232 is an abundant number, since it is smaller than the sum of its proper divisors (18194994960).

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

11122331232 is a wasteful number, since it uses less digits than its factorization.

11122331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480991 (or 480983 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 11122331232 its reverse (23213322111), we get a palindrome (34335653343).

The spelling of 11122331232 in words is "eleven billion, one hundred twenty-two million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 241 482 723 964 1446 1928 2892 3856 5784 7712 11568 23136 480737 961474 1442211 1922948 2884422 3845896 5768844 7691792 11537688 15383584 23075376 46150752 115857617 231715234 347572851 463430468 695145702 926860936 1390291404 1853721872 2780582808 3707443744 5561165616 11122331232