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106830112436 = 22118212259329
BaseRepresentation
bin110001101111110010…
…0100010011010110100
3101012202011201000002222
41203133210202122310
53222242002044221
6121024352021512
710501230654515
oct1433744423264
9335664630088
10106830112436
11413408a4723
1218855231898
13a0c68725a8
1452561d6a0c
152ba3b969ab
hex18df9226b4

106830112436 has 12 divisors (see below), whose sum is σ = 186968594820. Its totient is φ = 53410513920.

The previous prime is 106830112427. The next prime is 106830112439. The reversal of 106830112436 is 634211038601.

It can be written as a sum of positive squares in 2 ways, for example, as 26085480100 + 80744632336 = 161510^2 + 284156^2 .

It is a super-2 number, since 2×1068301124362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106830112396 and 106830112405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106830112439) 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 3 ways as a sum of consecutive naturals, for example, 1082381 + ... + 1176948.

It is an arithmetic number, because the mean of its divisors is an integer number (15580716235).

Almost surely, 2106830112436 is an apocalyptic number.

It is an amenable number.

106830112436 is a deficient number, since it is larger than the sum of its proper divisors (80138482384).

106830112436 is a wasteful number, since it uses less digits than its factorization.

106830112436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271154 (or 2271152 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 106830112436 in words is "one hundred six billion, eight hundred thirty million, one hundred twelve thousand, four hundred thirty-six".

Divisors: 1 2 4 11821 23642 47284 2259329 4518658 9037316 26707528109 53415056218 106830112436