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1130312233332 = 22322910163106531
BaseRepresentation
bin10000011100101011110…
…110111111000101110100
311000001112101212202201100
4100130223312333011310
5122004334412431312
62223131441530100
7144443122313442
oct20345366770564
94001471782640
101130312233332
113a63a98745a7
1216308b343930
1382784a62409
143c9c918bb92
151e606c035dc
hex1072bdbf174

1130312233332 has 72 divisors (see below), whose sum is σ = 2956020107040. Its totient is φ = 363739440960.

The previous prime is 1130312233319. The next prime is 1130312233399. The reversal of 1130312233332 is 2333322130311.

1130312233332 is a `hidden beast` number, since 1 + 1 + 303 + 1 + 2 + 23 + 3 + 332 = 666.

It is a super-2 number, since 2×11303122333322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130312233296 and 1130312233305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10556907 + ... + 10663437.

It is an arithmetic number, because the mean of its divisors is an integer number (41055834820).

Almost surely, 21130312233332 is an apocalyptic number.

1130312233332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1130312233332 is an abundant number, since it is smaller than the sum of its proper divisors (1825707873708).

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

1130312233332 is a wasteful number, since it uses less digits than its factorization.

1130312233332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116733 (or 116728 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1130312233332 its reverse (2333322130311), we get a palindrome (3463634363643).

The spelling of 1130312233332 in words is "one trillion, one hundred thirty billion, three hundred twelve million, two hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 10163 20326 30489 40652 60978 91467 106531 121956 182934 213062 294727 319593 365868 426124 589454 639186 884181 958779 1178908 1278372 1768362 1917558 2652543 3089399 3536724 3835116 5305086 6178798 9268197 10610172 12357596 18536394 27804591 37072788 55609182 111218364 1082674553 2165349106 3248023659 4330698212 6496047318 9744070977 12992094636 19488141954 31397562037 38976283908 62795124074 94192686111 125590248148 188385372222 282578058333 376770744444 565156116666 1130312233332