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3201201120 = 253513513013
BaseRepresentation
bin1011111011001110…
…0111001111100000
322021002121212101110
42332303213033200
523024001413440
61245352503320
7142220521605
oct27663471740
98232555343
103201201120
1113a2aa3867
127540aab40
133c029c460
1422521c6ac
1513b089080
hexbece73e0

3201201120 has 96 divisors (see below), whose sum is σ = 10859480352. Its totient is φ = 787986432.

The previous prime is 3201201119. The next prime is 3201201121. The reversal of 3201201120 is 211021023.

It is an interprime number because it is at equal distance from previous prime (3201201119) and next prime (3201201121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×32012011202 = 20495377221378508800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3201201096 and 3201201105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201201121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 250267 + ... + 262746.

It is an arithmetic number, because the mean of its divisors is an integer number (113119587).

Almost surely, 23201201120 is an apocalyptic number.

3201201120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3201201120 is an abundant number, since it is smaller than the sum of its proper divisors (7658279232).

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

3201201120 is a wasteful number, since it uses less digits than its factorization.

3201201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513044 (or 513036 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3201201120 is about 56579.1580000975. The cubic root of 3201201120 is about 1473.7969498892.

Adding to 3201201120 its reverse (211021023), we get a palindrome (3412222143).

The spelling of 3201201120 in words is "three billion, two hundred one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 513013 1026026 1539039 2052052 2565065 3078078 4104104 5130130 6156156 6669169 7695195 8208208 10260260 12312312 13338338 15390390 16416416 20007507 20520520 24624624 26676676 30780780 33345845 40015014 41041040 49249248 53353352 61561560 66691690 80030028 82082080 100037535 106706704 123123120 133383380 160060056 200075070 213413408 246246240 266766760 320120112 400150140 533533520 640240224 800300280 1067067040 1600600560 3201201120