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331200201000 = 23353110400067
BaseRepresentation
bin1001101000111010001…
…00100000000100101000
31011122212220121110101010
410310131010200010220
520411244222413000
6412052401423520
732633310154434
oct4643504400450
91148786543333
10331200201000
11118508974089
125423233aba0
1325302a587c6
141205cb2d9c4
158936862d50
hex4d1d120128

331200201000 has 64 divisors (see below), whose sum is σ = 1033344636480. Its totient is φ = 88320052800.

The previous prime is 331200200993. The next prime is 331200201019. The reversal of 331200201000 is 102002133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55197034 + ... + 55203033.

It is an arithmetic number, because the mean of its divisors is an integer number (16146009945).

Almost surely, 2331200201000 is an apocalyptic number.

331200201000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331200201000 is an abundant number, since it is smaller than the sum of its proper divisors (702144435480).

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

331200201000 is a wasteful number, since it uses less digits than its factorization.

331200201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110400091 (or 110400077 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 331200201000 its reverse (102002133), we get a palindrome (331302203133).

The spelling of 331200201000 in words is "three hundred thirty-one billion, two hundred million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 110400067 220800134 331200201 441600268 552000335 662400402 883200536 1104000670 1324800804 1656001005 2208001340 2649601608 2760001675 3312002010 4416002680 5520003350 6624004020 8280005025 11040006700 13248008040 13800008375 16560010050 22080013400 27600016750 33120020100 41400025125 55200033500 66240040200 82800050250 110400067000 165600100500 331200201000