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2001132110100 = 2235254601122167
BaseRepresentation
bin11101000111101100110…
…001001100000100010100
321002022021100010000001210
4131013230301030010110
5230241304310010400
64131150222021420
7264401630165424
oct35075461140424
97068240100053
102001132110100
117017479a7972
122839bb117870
13116923c785c6
146cbd8d8a484
15370c25a7950
hex1d1ecc4c114

2001132110100 has 72 divisors (see below), whose sum is σ = 5790095674048. Its totient is φ = 533621088000.

The previous prime is 2001132110077. The next prime is 2001132110101. The reversal of 2001132110100 is 10112311002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001132110101) 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, 16319217 + ... + 16441383.

Almost surely, 22001132110100 is an apocalyptic number.

2001132110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001132110100 is an abundant number, since it is smaller than the sum of its proper divisors (3788963563948).

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

2001132110100 is a wasteful number, since it uses less digits than its factorization.

2001132110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176785 (or 176778 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 2001132110100 its reverse (10112311002), we get a palindrome (2011244421102).

The spelling of 2001132110100 in words is "two trillion, one billion, one hundred thirty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 54601 109202 122167 163803 218404 244334 273005 327606 366501 488668 546010 610835 655212 733002 819015 1092020 1221670 1365025 1466004 1638030 1832505 2443340 2730050 3054175 3276060 3665010 4095075 5460100 6108350 7330020 8190150 9162525 12216700 16380300 18325050 36650100 6670440367 13340880734 20011321101 26681761468 33352201835 40022642202 66704403670 80045284404 100056605505 133408807340 166761009175 200113211010 333522018350 400226422020 500283027525 667044036700 1000566055050 2001132110100