Search a number
-
+
106322132254 = 213371095631801
BaseRepresentation
bin110001100000101001…
…0101111110100011110
3101011102202211221022011
41203001102233310132
53220221431213004
6120502124141434
710452522132652
oct1430122576436
9334382757264
10106322132254
1141100087698
121873309787a
13a0455550c0
145208964a62
152b742a4004
hex18c14afd1e

106322132254 has 64 divisors (see below), whose sum is σ = 178426543680. Its totient is φ = 47197209600.

The previous prime is 106322132249. The next prime is 106322132297. The reversal of 106322132254 is 452231223601.

It is a super-3 number, since 3×1063221322543 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 59034154 + ... + 59035954.

It is an arithmetic number, because the mean of its divisors is an integer number (2787914745).

Almost surely, 2106322132254 is an apocalyptic number.

106322132254 is a deficient number, since it is larger than the sum of its proper divisors (72104411426).

106322132254 is a wasteful number, since it uses less digits than its factorization.

106322132254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525.

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 106322132254 its reverse (452231223601), we get a palindrome (558553355855).

The spelling of 106322132254 in words is "one hundred six billion, three hundred twenty-two million, one hundred thirty-two thousand, two hundred fifty-four".

Divisors: 1 2 13 26 37 74 109 218 481 563 962 1126 1417 1801 2834 3602 4033 7319 8066 14638 20831 23413 41662 46826 52429 61367 66637 104858 122734 133274 196309 270803 392618 541606 797771 866281 1013963 1595542 1732562 2027926 2270579 2552017 4541158 5104034 7263433 13181519 14526866 26363038 29517527 37516631 59035054 75033262 94424629 110521967 188849258 221043934 487716203 975432406 1436785571 2873571142 4089312779 8178625558 53161066127 106322132254