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2002132113300 = 223252111631240709
BaseRepresentation
bin11101001000101000010…
…111111001011110010100
321002101212000210102120100
4131020220113321132110
5230300331310111200
64131433343334100
7264435462111564
oct35105027713624
97071760712510
102002132113300
117021104230a0
12284039bb1330
13116a531b7087
146cc91ad8da4
1537130289d00
hex1d2285f9794

2002132113300 has 216 divisors, whose sum is σ = 6888084446880. Its totient is φ = 482387270400.

The previous prime is 2002132113257. The next prime is 2002132113313. The reversal of 2002132113300 is 33112312002.

2002132113300 is a `hidden beast` number, since 20 + 0 + 21 + 321 + 1 + 3 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 993346 + ... + 2234054.

Almost surely, 22002132113300 is an apocalyptic number.

2002132113300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002132113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444042223440).

2002132113300 is an abundant number, since it is smaller than the sum of its proper divisors (4885952333580).

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

2002132113300 is a wasteful number, since it uses less digits than its factorization.

2002132113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240903 (or 1240893 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2002132113300 its reverse (33112312002), we get a palindrome (2035244425302).

The spelling of 2002132113300 in words is "two trillion, two billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred".