Search a number
-
+
2002101332100 = 2235211551577757
BaseRepresentation
bin11101001000100110100…
…010011110100010000100
321002101202212212120200220
4131020212202132202010
5230300300420111400
64131430323504340
7264434636350512
oct35104642364204
97071685776626
102002101332100
117020a5009791
1228402b8280b0
13116a499ca64c
146cc8b9a54b2
153712c7097a0
hex1d22689e884

2002101332100 has 72 divisors (see below), whose sum is σ = 5793258041088. Its totient is φ = 533846544000.

The previous prime is 2002101332053. The next prime is 2002101332117. The reversal of 2002101332100 is 12331012002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2002101332100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3176422 + ... + 3754178.

Almost surely, 22002101332100 is an apocalyptic number.

2002101332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002101332100 is an abundant number, since it is smaller than the sum of its proper divisors (3791156708988).

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

2002101332100 is a wasteful number, since it uses less digits than its factorization.

2002101332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589325 (or 589318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2002101332100 its reverse (12331012002), we get a palindrome (2014432344102).

The spelling of 2002101332100 in words is "two trillion, two billion, one hundred one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 11551 23102 34653 46204 57755 69306 115510 138612 173265 231020 288775 346530 577550 577757 693060 866325 1155100 1155514 1732650 1733271 2311028 2888785 3465300 3466542 5777570 6933084 8666355 11555140 14443925 17332710 28887850 34665420 43331775 57775700 86663550 173327100 6673671107 13347342214 20021013321 26694684428 33368355535 40042026642 66736711070 80084053284 100105066605 133473422140 166841777675 200210133210 333683555350 400420266420 500525333025 667367110700 1001050666050 2002101332100