Search a number
-
+
106414611522330 = 23516632132984797
BaseRepresentation
bin11000001100100010010101…
…000111100110001100011010
3111221210010201020120200200110
4120030202111013212030122
5102421444111022203310
61014154110405345150
731262126163352056
oct3014422507461432
9457703636520613
10106414611522330
11309a8201a87a11
12bb27a461081b6
13474bb16024277
141c3c6cd582c66
15c4814cccad20
hex60c8951e631a

106414611522330 has 32 divisors (see below), whose sum is σ = 255548642678784. Its totient is φ = 28360165847616.

The previous prime is 106414611522173. The next prime is 106414611522341. The reversal of 106414611522330 is 33225116414601.

It is a super-2 number, since 2×1064146115223302 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066442509 + ... + 1066542288.

It is an arithmetic number, because the mean of its divisors is an integer number (7985895083712).

Almost surely, 2106414611522330 is an apocalyptic number.

106414611522330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106414611522330 is an abundant number, since it is smaller than the sum of its proper divisors (149134031156454).

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

106414611522330 is a wasteful number, since it uses less digits than its factorization.

106414611522330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132986470.

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 106414611522330 its reverse (33225116414601), we get a palindrome (139639727936931).

The spelling of 106414611522330 in words is "one hundred six trillion, four hundred fourteen billion, six hundred eleven million, five hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1663 3326 4989 8315 9978 16630 24945 49890 2132984797 4265969594 6398954391 10664923985 12797908782 21329847970 31994771955 63989543910 3547153717411 7094307434822 10641461152233 17735768587055 21282922304466 35471537174110 53207305761165 106414611522330