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21101337306 = 2327510132831
BaseRepresentation
bin10011101001101111…
…001101101011011010
32000110120220000000100
4103221233031223122
5321203420243211
613405510520230
71344624256560
oct235157155332
960416800010
1021101337306
118a49178045
12410a966076
131cb390620a
141042691a30
158377b8156
hex4e9bcdada

21101337306 has 48 divisors (see below), whose sum is σ = 52262765568. Its totient is φ = 6027588000.

The previous prime is 21101337293. The next prime is 21101337307. The reversal of 21101337306 is 60373310112.

21101337306 is a `hidden beast` number, since 21 + 1 + 0 + 1 + 337 + 306 = 666.

It is a super-2 number, since 2×211013373062 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21101337306.

It is not an unprimeable number, because it can be changed into a prime (21101337307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626311 + ... + 659141.

It is an arithmetic number, because the mean of its divisors is an integer number (1088807616).

Almost surely, 221101337306 is an apocalyptic number.

21101337306 is an abundant number, since it is smaller than the sum of its proper divisors (31161428262).

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

21101337306 is a wasteful number, since it uses less digits than its factorization.

21101337306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37947 (or 37944 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 21101337306 its reverse (60373310112), we get a palindrome (81474647418).

The spelling of 21101337306 in words is "twenty-one billion, one hundred one million, three hundred thirty-seven thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 5101 10202 15303 30606 32831 35707 45909 65662 71414 91818 98493 107121 196986 214242 229817 295479 321363 459634 590958 642726 689451 1378902 2068353 4136706 167470931 334941862 502412793 1004825586 1172296517 1507238379 2344593034 3014476758 3516889551 7033779102 10550668653 21101337306