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1123203220101 = 34171209767429
BaseRepresentation
bin10000010110000100001…
…000010000001010000101
310222101011222000110220000
4100112010020100022011
5121400310011020401
62215554211031513
7144102010562364
oct20260410201205
93871158013800
101123203220101
113a3390a32756
1216182659b599
1381bc0cab301
143c512d757db
151e33ca54186
hex10584210285

1123203220101 has 40 divisors (see below), whose sum is σ = 1776743008920. Its totient is φ = 704686252032.

The previous prime is 1123203220019. The next prime is 1123203220121. The reversal of 1123203220101 is 1010223023211.

1123203220101 is a `hidden beast` number, since 1 + 12 + 320 + 322 + 0 + 10 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17708689476 + 1105494530625 = 133074^2 + 1051425^2 .

It is not a de Polignac number, because 1123203220101 - 230 = 1122129478277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123203220121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16623855 + ... + 16691283.

It is an arithmetic number, because the mean of its divisors is an integer number (44418575223).

Almost surely, 21123203220101 is an apocalyptic number.

It is an amenable number.

1123203220101 is a deficient number, since it is larger than the sum of its proper divisors (653539788819).

1123203220101 is a wasteful number, since it uses less digits than its factorization.

1123203220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79555 (or 79546 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1123203220101 its reverse (1010223023211), we get a palindrome (2133426243312).

The spelling of 1123203220101 in words is "one trillion, one hundred twenty-three billion, two hundred three million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 9 17 27 51 81 153 459 1377 12097 36291 67429 108873 202287 205649 326619 606861 616947 979857 1146293 1820583 1850841 3438879 5461749 5552523 10316637 16657569 30949911 92849733 815688613 2447065839 7341197517 13866706421 22023592551 41600119263 66070777653 124800357789 374401073367 1123203220101