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4106132100 = 2232527651767
BaseRepresentation
bin1111010010111110…
…1001101010000100
3101121011102010022200
43310233221222010
531402132211400
61515240354500
7203516355420
oct36457515204
911534363280
104106132100
111817893904
12967175a30
13505901385
142ad49db80
1519073bb00
hexf4be9a84

4106132100 has 108 divisors (see below), whose sum is σ = 14709100224. Its totient is φ = 938543040.

The previous prime is 4106132089. The next prime is 4106132117. The reversal of 4106132100 is 12316014.

It is a happy number.

4106132100 is a `hidden beast` number, since 41 + 0 + 613 + 2 + 10 + 0 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 319584 + ... + 332183.

Almost surely, 24106132100 is an apocalyptic number.

It is an amenable number.

4106132100 is an abundant number, since it is smaller than the sum of its proper divisors (10602968124).

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

4106132100 is a wasteful number, since it uses less digits than its factorization.

4106132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651794 (or 651784 counting only the distinct ones).

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

The square root of 4106132100 is about 64079.1081398610. The cubic root of 4106132100 is about 1601.3181975280.

Adding to 4106132100 its reverse (12316014), we get a palindrome (4118448114).

The spelling of 4106132100 in words is "four billion, one hundred six million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 651767 1303534 1955301 2607068 3258835 3910602 4562369 5865903 6517670 7821204 9124738 9776505 11731806 13035340 13687107 16294175 18249476 19553010 22811845 23463612 27374214 29329515 32588350 39106020 41061321 45623690 48882525 54748428 58659030 65176700 68435535 82122642 91247380 97765050 114059225 117318060 136871070 146647575 164245284 195530100 205306605 228118450 273742140 293295150 342177675 410613210 456236900 586590300 684355350 821226420 1026533025 1368710700 2053066050 4106132100