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2101041432 = 2332719219407
BaseRepresentation
bin111110100111011…
…0101100100011000
312102102110222000100
41331032311210120
513300331311212
6544252335400
7103031362140
oct17516654430
95372428010
102101041432
11988a8a586
124a7774560
13276393ba9
1415d07b920
15c46c0bdc
hex7d3b5918

2101041432 has 96 divisors (see below), whose sum is σ = 6845529600. Its totient is φ = 568700352.

The previous prime is 2101041379. The next prime is 2101041479. The reversal of 2101041432 is 2341401012.

2101041432 is a `hidden beast` number, since 210 + 10 + 414 + 32 = 666.

It is a super-2 number, since 2×21010414322 = 8828750197961221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100128 + ... + 119279.

It is an arithmetic number, because the mean of its divisors is an integer number (71307600).

Almost surely, 22101041432 is an apocalyptic number.

It is an amenable number.

2101041432 is an abundant number, since it is smaller than the sum of its proper divisors (4744488168).

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

2101041432 is a wasteful number, since it uses less digits than its factorization.

2101041432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219445 (or 219438 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2101041432 is about 45837.1184958217. The cubic root of 2101041432 is about 1280.7908182768.

Adding to 2101041432 its reverse (2341401012), we get a palindrome (4442442444).

The spelling of 2101041432 in words is "two billion, one hundred one million, forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 3192 4788 9576 219407 438814 658221 877628 1316442 1535849 1755256 1974663 2632884 3071698 3949326 4168733 4607547 5265768 6143396 7898652 8337466 9215094 12286792 12506199 13822641 15797304 16674932 18430188 25012398 27645282 29181131 33349864 36860376 37518597 50024796 55290564 58362262 75037194 87543393 100049592 110581128 116724524 150074388 175086786 233449048 262630179 300148776 350173572 525260358 700347144 1050520716 2101041432