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29001318200 = 23521439100769
BaseRepresentation
bin11011000000100111…
…001111111100111000
32202212011002121111022
4123000213033330320
5433343314140300
621153434522012
72044452065051
oct330047177470
982764077438
1029001318200
1111332540678
125754596308
1329724c9c1a
141591961728
15b4b108285
hex6c09cff38

29001318200 has 48 divisors (see below), whose sum is σ = 67475592000. Its totient is φ = 11592350720.

The previous prime is 29001318191. The next prime is 29001318251. The reversal of 29001318200 is 281310092.

It is a super-3 number, since 3×290013182003 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29001318200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237416 + ... + 338184.

It is an arithmetic number, because the mean of its divisors is an integer number (1405741500).

Almost surely, 229001318200 is an apocalyptic number.

29001318200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29001318200 is an abundant number, since it is smaller than the sum of its proper divisors (38474273800).

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

29001318200 is a wasteful number, since it uses less digits than its factorization.

29001318200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102224 (or 102215 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 29001318200 its reverse (281310092), we get a palindrome (29282628292).

The spelling of 29001318200 in words is "twenty-nine billion, one million, three hundred eighteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1439 2878 5756 7195 11512 14390 28780 35975 57560 71950 100769 143900 201538 287800 403076 503845 806152 1007690 2015380 2519225 4030760 5038450 10076900 20153800 145006591 290013182 580026364 725032955 1160052728 1450065910 2900131820 3625164775 5800263640 7250329550 14500659100 29001318200