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106982189020 = 22572109165499
BaseRepresentation
bin110001110100010100…
…0101010011111011100
3101020010202212021222001
41203220220222133130
53223044420022040
6121051423332044
710505055413500
oct1435050523734
9336122767861
10106982189020
1141409725053
1218898151024
13a11c21a735
14526c4a2300
152bb21d659a
hex18e8a2a7dc

106982189020 has 36 divisors (see below), whose sum is σ = 261342207000. Its totient is φ = 36679607328.

The previous prime is 106982189011. The next prime is 106982189021. The reversal of 106982189020 is 20981289601.

It is a super-2 number, since 2×1069821890202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106982189021) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 54581770 + ... + 54583729.

It is an arithmetic number, because the mean of its divisors is an integer number (7259505750).

Almost surely, 2106982189020 is an apocalyptic number.

106982189020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106982189020 is an abundant number, since it is smaller than the sum of its proper divisors (154360017980).

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

106982189020 is a wasteful number, since it uses less digits than its factorization.

106982189020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109165522 (or 109165513 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The spelling of 106982189020 in words is "one hundred six billion, nine hundred eighty-two million, one hundred eighty-nine thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 109165499 218330998 436661996 545827495 764158493 1091654990 1528316986 2183309980 3056633972 3820792465 5349109451 7641584930 10698218902 15283169860 21396437804 26745547255 53491094510 106982189020