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1133112222333 = 3271343143322453
BaseRepresentation
bin10000011111010010110…
…000000110001001111101
311000022202112112221112200
4100133102300012021331
5122031103212103313
62224313343222113
7144602401654620
oct20372260061175
94008675487480
101133112222333
113a76063447a3
12163730ba7939
1382b0cb87640
143cbb2dabdb7
151e71c939b73
hex107d2c0627d

1133112222333 has 96 divisors (see below), whose sum is σ = 2062799042304. Its totient is φ = 583352534016.

The previous prime is 1133112222323. The next prime is 1133112222343. The reversal of 1133112222333 is 3332222113311.

1133112222333 is a `hidden beast` number, since 1 + 13 + 311 + 2 + 2 + 2 + 2 + 333 = 666.

It is an interprime number because it is at equal distance from previous prime (1133112222323) and next prime (1133112222343).

It is not a de Polignac number, because 1133112222333 - 26 = 1133112222269 is a prime.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1133112222297 and 1133112222306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133112222323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50454735 + ... + 50477187.

It is an arithmetic number, because the mean of its divisors is an integer number (21487490024).

Almost surely, 21133112222333 is an apocalyptic number.

1133112222333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1133112222333 is a deficient number, since it is larger than the sum of its proper divisors (929686819971).

1133112222333 is a wasteful number, since it uses less digits than its factorization.

1133112222333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23955 (or 23952 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1133112222333 its reverse (3332222113311), we get a palindrome (4465334335644).

The spelling of 1133112222333 in words is "one trillion, one hundred thirty-three billion, one hundred twelve million, two hundred twenty-two thousand, three hundred thirty-three".

Divisors: 1 3 7 9 13 21 39 43 63 91 117 129 273 301 387 559 819 903 1433 1677 2709 3913 4299 5031 10031 11739 12897 18629 22453 30093 35217 55887 61619 67359 90279 130403 157171 167661 184857 202077 291889 391209 431333 471513 554571 801047 875667 965479 1173627 1293999 1414539 2043223 2403141 2627001 2896437 3881997 5607329 6129669 6758353 7209423 8689311 12551227 16821987 18389007 20275059 32175149 37653681 50465961 60825177 87858589 96525447 112961043 225226043 263575767 289576341 418276937 675678129 790727301 1254830811 1383531407 2027034387 2927938559 3764492433 4150594221 8783815677 9684719849 12451782663 17985908291 26351447031 29054159547 53957724873 87162478641 125901358037 161873174619 377704074111 1133112222333