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106244117323700 = 225210110519219537
BaseRepresentation
bin11000001010000011100010…
…110111110101111110110100
3111221011211122012200000111012
4120022003202313311332310
5102411200423013324300
61013543512415131352
731243612161521426
oct3012034267657664
9457154565600435
10106244117323700
11309419714a6024
12baba9a3b13b58
134738a14896875
141c34358024816
15c439bedb1435
hex60a0e2df5fb4

106244117323700 has 36 divisors (see below), whose sum is σ = 232832405254092. Its totient is φ = 42076878144000.

The previous prime is 106244117323651. The next prime is 106244117323789. The reversal of 106244117323700 is 7323711442601.

It can be written as a sum of positive squares in 6 ways, for example, as 1897197702544 + 104346919621156 = 1377388^2 + 10215034^2 .

It is a super-2 number, since 2×1062441173237002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5259599669 + ... + 5259619868.

Almost surely, 2106244117323700 is an apocalyptic number.

106244117323700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106244117323700 is an abundant number, since it is smaller than the sum of its proper divisors (126588287930392).

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

106244117323700 is a wasteful number, since it uses less digits than its factorization.

106244117323700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10519219652 (or 10519219645 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 106244117323700 in words is "one hundred six trillion, two hundred forty-four billion, one hundred seventeen million, three hundred twenty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 10519219537 21038439074 42076878148 52596097685 105192195370 210384390740 262980488425 525960976850 1051921953700 1062441173237 2124882346474 4249764692948 5312205866185 10624411732370 21248823464740 26561029330925 53122058661850 106244117323700