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132001002000200 = 23525312452924717
BaseRepresentation
bin11110000000110111100000…
…110101011000111101001000
3122022101011122210022000121102
4132000313200311120331020
5114300201023003001300
61144424231223200532
736542520612111104
oct3600674065307510
9568334583260542
10132001002000200
1139072346408653
121297a8185a6148
1358868445a6c88
142484c4db5a904
15103d9b05000d5
hex780de0d58f48

132001002000200 has 48 divisors (see below), whose sum is σ = 312692939668980. Its totient is φ = 51804166818560.

The previous prime is 132001002000149. The next prime is 132001002000209. The reversal of 132001002000200 is 2000200100231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 90322176424804 + 41678825575396 = 9503798^2 + 6455914^2 .

It is not an unprimeable number, because it can be changed into a prime (132001002000209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6226451759 + ... + 6226472958.

Almost surely, 2132001002000200 is an apocalyptic number.

132001002000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132001002000200 is an abundant number, since it is smaller than the sum of its proper divisors (180691937668780).

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

132001002000200 is a wasteful number, since it uses less digits than its factorization.

132001002000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12452924786 (or 12452924777 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 132001002000200 its reverse (2000200100231), we get a palindrome (134001202100431).

The spelling of 132001002000200 in words is "one hundred thirty-two trillion, one billion, two million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 12452924717 24905849434 49811698868 62264623585 99623397736 124529247170 249058494340 311323117925 498116988680 622646235850 660005010001 1245292471700 1320010020002 2490584943400 2640020040004 3300025050005 5280040080008 6600050100010 13200100200020 16500125250025 26400200400040 33000250500050 66000501000100 132001002000200