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1123313110101 = 337213262124919
BaseRepresentation
bin10000010110001010101…
…011011100110001010101
310222101110121210110122000
4100112022223130301111
5121401021124010401
62220013134225513
7144104513615400
oct20261253346125
93871417713560
101123313110101
113a3437a69736
12161857355299
1381c0a9a5590
143c5237bcd37
151e34750e186
hex1058aadcc55

1123313110101 has 96 divisors (see below), whose sum is σ = 2085660460800. Its totient is φ = 592266971520.

The previous prime is 1123313110061. The next prime is 1123313110169. The reversal of 1123313110101 is 1010113133211.

1123313110101 is a `hidden beast` number, since 1 + 12 + 331 + 311 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 1123313110101 - 27 = 1123313109973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123313100101) 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, 45066120 + ... + 45091038.

It is an arithmetic number, because the mean of its divisors is an integer number (21725629800).

Almost surely, 21123313110101 is an apocalyptic number.

It is an amenable number.

1123313110101 is a deficient number, since it is larger than the sum of its proper divisors (962347350699).

1123313110101 is a wasteful number, since it uses less digits than its factorization.

1123313110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27576 (or 27563 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1123313110101 its reverse (1010113133211), we get a palindrome (2133426243312).

The spelling of 1123313110101 in words is "one trillion, one hundred twenty-three billion, three hundred thirteen million, one hundred ten thousand, one hundred one".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 2457 2621 5733 7863 17199 18347 23589 24919 34073 55041 70767 74757 102219 128429 165123 174433 224271 238511 306657 323947 385287 495369 523299 672813 715533 919971 971841 1155861 1221031 1569897 1669577 2146599 2267629 2915523 3467583 3663093 4709691 5008731 6439797 6802887 8746569 10989279 15026193 15873403 20408661 32967837 45078579 47620209 61225983 65312699 142860627 195938097 428581881 457188893 587814291 849065087 1371566679 1763442873 2547195261 3200322251 4114700037 5943455609 7641585783 9600966753 12344100111 17830366827 22924757349 28802900259 41604189263 53491100481 86408700777 124812567789 160473301443 374437703367 1123313110101