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108213126 = 23717314889
BaseRepresentation
bin1100111001100…
…11001110000110
321112121210111120
412130303032012
5210200310001
614423214410
72452540110
oct634631606
9245553446
10108213126
11560a113a
12302a7406
131955ac48
141052c3b0
159778236
hex6733386

108213126 has 64 divisors (see below), whose sum is σ = 270397440. Its totient is φ = 28154880.

The previous prime is 108213101. The next prime is 108213163. The reversal of 108213126 is 621312801.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 108213096 and 108213105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19690 + ... + 24578.

It is an arithmetic number, because the mean of its divisors is an integer number (4224960).

Almost surely, 2108213126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108213126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135198720).

108213126 is an abundant number, since it is smaller than the sum of its proper divisors (162184314).

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

108213126 is a wasteful number, since it uses less digits than its factorization.

108213126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 108213126 is about 10402.5538210576. The cubic root of 108213126 is about 476.5333657173.

Adding to 108213126 its reverse (621312801), we get a palindrome (729525927).

The spelling of 108213126 in words is "one hundred eight million, two hundred thirteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 651 714 1054 1302 1581 3162 3689 4889 7378 9778 11067 14667 22134 29334 34223 68446 83113 102669 151559 166226 205338 249339 303118 454677 498678 581791 909354 1060913 1163582 1745373 2121826 2576503 3182739 3490746 5153006 6365478 7729509 15459018 18035521 36071042 54106563 108213126