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11331131212332 = 223210331382911777
BaseRepresentation
bin1010010011100011110000…
…0011010000001000101100
31111010020122000110011000200
42210320330003100020230
52441122124042243312
640033241054353500
72246434665065661
oct244707403201054
944106560404020
1011331131212332
113679562192868
121330070abb890
136426a0aa6459
142b2603067a68
15149b36e410dc
hexa4e3c0d022c

11331131212332 has 144 divisors (see below), whose sum is σ = 29050527455040. Its totient is φ = 3723609636864.

The previous prime is 11331131212283. The next prime is 11331131212333. The reversal of 11331131212332 is 23321213113311.

11331131212332 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 1 + 312 + 12 + 332 = 666.

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 = 11331131212296 and 11331131212305.

It is not an unprimeable number, because it can be changed into a prime (11331131212333) by changing a digit.

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, 962134828 + ... + 962146604.

Almost surely, 211331131212332 is an apocalyptic number.

11331131212332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331131212332 is an abundant number, since it is smaller than the sum of its proper divisors (17719396242708).

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

11331131212332 is a wasteful number, since it uses less digits than its factorization.

11331131212332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13032 (or 13027 counting only the distinct ones).

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

Adding to 11331131212332 its reverse (23321213113311), we get a palindrome (34652344325643).

The spelling of 11331131212332 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-one million, two hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 313 412 618 626 829 927 939 1236 1252 1658 1854 1878 2487 2817 3316 3708 3756 4974 5634 7461 9948 11268 11777 14922 23554 29844 32239 35331 47108 64478 70662 85387 96717 105993 128956 141324 170774 193434 211986 256161 259477 290151 341548 386868 423972 512322 518954 580302 768483 778431 1024644 1037908 1160604 1213031 1536966 1556862 2335293 2426062 3073932 3113724 3639093 3686201 4670586 4852124 7278186 7372402 9341172 9763133 10917279 11058603 14556372 14744804 19526266 21834558 22117206 26726131 29289399 33175809 39052532 43669116 44234412 53452262 58578798 66351618 80178393 87868197 106904524 117157596 132703236 160356786 175736394 240535179 320713572 351472788 379678703 481070358 759357406 962140716 1005602699 1139036109 1518714812 2011205398 2278072218 3016808097 3055860629 3417108327 4022410796 4556144436 6033616194 6111721258 6834216654 9050424291 9167581887 12067232388 12223442516 13668433308 18100848582 18335163774 27502745661 36201697164 36670327548 55005491322 110010982644 314753644787 629507289574 944260934361 1259014579148 1888521868722 2832782803083 3777043737444 5665565606166 11331131212332