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106523121042 = 23213683666511
BaseRepresentation
bin110001100110101000…
…1011101010110010010
3101011221210001020002100
41203031101131112102
53221124404333132
6120534104101230
710460512406052
oct1431521352622
9334853036070
10106523121042
11411a3585528
121878a464816
13a078097490
145227523562
152b86c5637c
hex18cd45d592

106523121042 has 48 divisors (see below), whose sum is σ = 248918237568. Its totient is φ = 32728307040.

The previous prime is 106523121017. The next prime is 106523121073. The reversal of 106523121042 is 240121325601.

106523121042 is a `hidden beast` number, since 1 + 0 + 652 + 3 + 1 + 2 + 1 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×1065231210422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106523120997 and 106523121015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173434 + ... + 493077.

It is an arithmetic number, because the mean of its divisors is an integer number (5185796616).

Almost surely, 2106523121042 is an apocalyptic number.

106523121042 is an abundant number, since it is smaller than the sum of its proper divisors (142395116526).

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

106523121042 is a wasteful number, since it uses less digits than its factorization.

106523121042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667215 (or 667212 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 106523121042 its reverse (240121325601), we get a palindrome (346644446643).

The spelling of 106523121042 in words is "one hundred six billion, five hundred twenty-three million, one hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 683 1366 2049 4098 6147 8879 12294 17758 26637 53274 79911 159822 666511 1333022 1999533 3999066 5998599 8664643 11997198 17329286 25993929 51987858 77981787 155963574 455227013 910454026 1365681039 2731362078 4097043117 5917951169 8194086234 11835902338 17753853507 35507707014 53261560521 106523121042