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203030000442 = 23329797162671
BaseRepresentation
bin1011110100010110000…
…1111111001100111010
3201102001111202122201000
42331011201333030322
511311301140003232
6233134245305430
720445162346353
oct2750541771472
9642044678630
10203030000442
11791171623a5
1233422405276
13161b7ca8949
149b80696d2a
15543449227c
hex2f4587f33a

203030000442 has 64 divisors (see below), whose sum is σ = 467324121600. Its totient is φ = 65260601280.

The previous prime is 203030000419. The next prime is 203030000447. The reversal of 203030000442 is 244000030302.

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

It is not an unprimeable number, because it can be changed into a prime (203030000447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166767 + ... + 1329437.

It is an arithmetic number, because the mean of its divisors is an integer number (7301939400).

Almost surely, 2203030000442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203030000442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233662060800).

203030000442 is an abundant number, since it is smaller than the sum of its proper divisors (264294121158).

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

203030000442 is a wasteful number, since it uses less digits than its factorization.

203030000442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163508 (or 163502 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 203030000442 its reverse (244000030302), we get a palindrome (447030030744).

The spelling of 203030000442 in words is "two hundred three billion, thirty million, four hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 797 1566 1594 2391 4782 7173 14346 21519 23113 43038 46226 69339 138678 162671 208017 325342 416034 488013 624051 976026 1248102 1464039 2928078 4392117 4717459 8784234 9434918 14152377 28304754 42457131 84914262 127371393 129648787 254742786 259297574 388946361 777892722 1166839083 2333678166 3500517249 3759814823 7001034498 7519629646 11279444469 22558888938 33838333407 67676666814 101515000221 203030000442