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106434352035 = 32511795127043
BaseRepresentation
bin110001100011111111…
…0110101001110100011
3101011201121000021220100
41203013332311032203
53220434143231120
6120521213313443
710455354031224
oct1430776651643
9334647007810
10106434352035
1141158465010
1218764795883
13a06288693b
14521981724b
152b7e06e490
hex18c7fb53a3

106434352035 has 48 divisors (see below), whose sum is σ = 201290439168. Its totient is φ = 51596136000.

The previous prime is 106434352021. The next prime is 106434352043. The reversal of 106434352035 is 530253434601.

106434352035 is a `hidden beast` number, since 1 + 0 + 64 + 3 + 43 + 520 + 35 = 666.

It is not a de Polignac number, because 106434352035 - 212 = 106434347939 is a prime.

It is a super-2 number, since 2×1064343520352 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3922224 + ... + 3949266.

It is an arithmetic number, because the mean of its divisors is an integer number (4193550816).

Almost surely, 2106434352035 is an apocalyptic number.

106434352035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106434352035 is a deficient number, since it is larger than the sum of its proper divisors (94856087133).

106434352035 is a wasteful number, since it uses less digits than its factorization.

106434352035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35016 (or 35013 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 106434352035 its reverse (530253434601), we get a palindrome (636687786636).

The spelling of 106434352035 in words is "one hundred six billion, four hundred thirty-four million, three hundred fifty-two thousand, thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 7951 23853 27043 39755 71559 81129 87461 119265 135215 243387 262383 297473 357795 405645 437305 787149 892419 1216935 1311915 1487365 2677257 3935745 4462095 13386285 215018893 645056679 1075094465 1935170037 2365207823 3225283395 7095623469 9675850185 11826039115 21286870407 35478117345 106434352035