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314233313100 = 223527149634911
BaseRepresentation
bin1001001001010011100…
…00111101011101001100
31010001002110102020201120
410210221300331131030
520122022212004400
6400205022240540
731462665043110
oct4445160753514
91101073366646
10314233313100
111112a1571083
1250a98126150
132382a889a75
14112cd5cd740
15829202bca0
hex4929c3d74c

314233313100 has 72 divisors (see below), whose sum is σ = 1039064828928. Its totient is φ = 71824756800.

The previous prime is 314233313099. The next prime is 314233313137. The reversal of 314233313100 is 1313332413.

It is a happy number.

It is a super-2 number, since 2×3142333131002 (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 74815356 + ... + 74819555.

Almost surely, 2314233313100 is an apocalyptic number.

314233313100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314233313100 is an abundant number, since it is smaller than the sum of its proper divisors (724831515828).

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

314233313100 is a wasteful number, since it uses less digits than its factorization.

314233313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149634935 (or 149634928 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 314233313100 its reverse (1313332413), we get a palindrome (315546645513).

The spelling of 314233313100 in words is "three hundred fourteen billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 149634911 299269822 448904733 598539644 748174555 897809466 1047444377 1496349110 1795618932 2094888754 2244523665 2992698220 3142333131 3740872775 4189777508 4489047330 5237221885 6284666262 7481745550 8978094660 10474443770 11222618325 12569332524 14963491100 15711665655 20948887540 22445236650 26186109425 31423331310 44890473300 52372218850 62846662620 78558328275 104744437700 157116656550 314233313100