Search a number
-
+
11331131312232 = 2332157376823781
BaseRepresentation
bin1010010011100011110000…
…0011101000100001101000
31111010020122000122020001200
42210320330003220201220
52441122124103442412
640033241100444200
72246434665663144
oct244707403504150
944106560566050
1011331131312232
113679562250926
121330070b49660
136426a0b0ca74
142b2603092224
15149b36e609dc
hexa4e3c0e8868

11331131312232 has 24 divisors (see below), whose sum is σ = 30688480637490. Its totient is φ = 3777043770720.

The previous prime is 11331131312227. The next prime is 11331131312257. The reversal of 11331131312232 is 23221313113311.

11331131312232 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 113 + 1 + 312 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10643867100036 + 687264212196 = 3262494^2 + 829014^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 11331131312196 and 11331131312205.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78688411819 + ... + 78688411962.

Almost surely, 211331131312232 is an apocalyptic number.

11331131312232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331131312232 is an abundant number, since it is smaller than the sum of its proper divisors (19357349325258).

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

11331131312232 is a wasteful number, since it uses less digits than its factorization.

11331131312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157376823793 (or 157376823786 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 11331131312232 its reverse (23221313113311), we get a palindrome (34552444425543).

The spelling of 11331131312232 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157376823781 314753647562 472130471343 629507295124 944260942686 1259014590248 1416391414029 1888521885372 2832782828058 3777043770744 5665565656116 11331131312232