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106630263036 = 2232111733155377
BaseRepresentation
bin110001101001110101…
…0001011000011111100
3101012020020122121021100
41203103222023003330
53221334321404121
6120552452333100
710463253165303
oct1432352130374
9335206577240
10106630263036
1141249004930
12187ba314190
13a09433b9cb
14523785343a
152b9136c026
hex18d3a8b0fc

106630263036 has 72 divisors (see below), whose sum is σ = 294212593584. Its totient is φ = 32293347840.

The previous prime is 106630263031. The next prime is 106630263041. The reversal of 106630263036 is 630362036601.

It is a happy number.

106630263036 is a `hidden beast` number, since 10 + 6 + 6 + 3 + 0 + 2 + 630 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106630263031) and next prime (106630263041).

It is a super-2 number, since 2×1066302630362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106630263031) 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 23 ways as a sum of consecutive naturals, for example, 608580 + ... + 763956.

It is an arithmetic number, because the mean of its divisors is an integer number (4086286022).

Almost surely, 2106630263036 is an apocalyptic number.

It is an amenable number.

106630263036 is an abundant number, since it is smaller than the sum of its proper divisors (187582330548).

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

106630263036 is a wasteful number, since it uses less digits than its factorization.

106630263036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157131 (or 157126 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

Adding to 106630263036 its reverse (630362036601), we get a palindrome (736992299637).

The spelling of 106630263036 in words is "one hundred six billion, six hundred thirty million, two hundred sixty-three thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1733 3466 5199 6932 10398 15597 19063 20796 31194 38126 57189 62388 76252 114378 155377 171567 228756 310754 343134 466131 621508 686268 932262 1398393 1709147 1864524 2796786 3418294 5127441 5593572 6836588 10254882 15382323 20509764 30764646 61529292 269268341 538536682 807805023 1077073364 1615610046 2423415069 2961951751 3231220092 4846830138 5923903502 8885855253 9693660276 11847807004 17771710506 26657565759 35543421012 53315131518 106630263036