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201442202310 = 23553661191669
BaseRepresentation
bin1011101110011011100…
…1000001001011000110
3201020221212001011010210
42323212321001023012
511300023200433220
6232312525300250
720360632316316
oct2734671011306
9636855034123
10201442202310
1178481965138
123305a704686
1315cc4055a1b
149a6d85b446
15538eda36e0
hex2ee6e412c6

201442202310 has 64 divisors (see below), whose sum is σ = 493330979520. Its totient is φ = 52624366080.

The previous prime is 201442202309. The next prime is 201442202323. The reversal of 201442202310 is 13202244102.

201442202310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2014422023102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 955156 + ... + 1146824.

It is an arithmetic number, because the mean of its divisors is an integer number (7708296555).

Almost surely, 2201442202310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201442202310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246665489760).

201442202310 is an abundant number, since it is smaller than the sum of its proper divisors (291888777210).

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

201442202310 is a wasteful number, since it uses less digits than its factorization.

201442202310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192393.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 201442202310 its reverse (13202244102), we get a palindrome (214644446412).

The spelling of 201442202310 in words is "two hundred one billion, four hundred forty-two million, two hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 661 795 1322 1590 1983 3305 3966 6610 9915 19830 35033 70066 105099 175165 191669 210198 350330 383338 525495 575007 958345 1050990 1150014 1916690 2875035 5750070 10158457 20316914 30475371 50792285 60950742 101584570 126693209 152376855 253386418 304753710 380079627 633466045 760159254 1266932090 1900398135 3800796270 6714740077 13429480154 20144220231 33573700385 40288440462 67147400770 100721101155 201442202310