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1112331023133 = 311229201752387
BaseRepresentation
bin10000001011111100000…
…110000111001100011101
310221100010021001122110020
4100023330012013030131
5121211023220220013
62210555310102353
7143235412460211
oct20137406071435
93840107048406
101112331023133
11399811956200
1215b6b14aa9b9
1380b7a6b0475
143bba1052941
151de0330c623
hex102fc18731d

1112331023133 has 48 divisors (see below), whose sum is σ = 1687274984640. Its totient is φ = 650558684160.

The previous prime is 1112331023081. The next prime is 1112331023143. The reversal of 1112331023133 is 3313201332111.

It is not a de Polignac number, because 1112331023133 - 210 = 1112331022109 is a prime.

It is a super-2 number, since 2×11123310231332 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112331023143) 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 47 ways as a sum of consecutive naturals, for example, 21206766 + ... + 21259152.

It is an arithmetic number, because the mean of its divisors is an integer number (35151562180).

Almost surely, 21112331023133 is an apocalyptic number.

It is an amenable number.

1112331023133 is a deficient number, since it is larger than the sum of its proper divisors (574943961507).

1112331023133 is a wasteful number, since it uses less digits than its factorization.

1112331023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54458 (or 54447 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1112331023133 its reverse (3313201332111), we get a palindrome (4425532355244).

The spelling of 1112331023133 in words is "one trillion, one hundred twelve billion, three hundred thirty-one million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 11 29 33 87 121 319 363 957 2017 3509 6051 10527 22187 52387 58493 66561 157161 175479 244057 576257 643423 732171 1519223 1728771 1930269 4557669 6338827 7077653 16711453 19016481 21232959 50134359 105664579 183825983 316993737 551477949 1162310369 3064272791 3486931107 9192818373 12785414059 33707000701 38356242177 101121002103 370777007711 1112331023133