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3314111020 = 2251171331641
BaseRepresentation
bin1100010110001001…
…0101001000101100
322112222002021122121
43011202111020230
523241403023040
61304504522324
7145061323153
oct30542251054
98488067577
103314111020
111450802730
12785a803a4
1340a7b314c
1423621059a
15145e3dc4a
hexc589522c

3314111020 has 96 divisors (see below), whose sum is σ = 7734569472. Its totient is φ = 1182720000.

The previous prime is 3314110991. The next prime is 3314111027. The reversal of 3314111020 is 201114133.

It is a junction number, because it is equal to n+sod(n) for n = 3314110985 and 3314111003.

It is not an unprimeable number, because it can be changed into a prime (3314111027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5169900 + ... + 5170540.

It is an arithmetic number, because the mean of its divisors is an integer number (80568432).

Almost surely, 23314111020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867284736).

3314111020 is an abundant number, since it is smaller than the sum of its proper divisors (4420458452).

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

3314111020 is a wasteful number, since it uses less digits than its factorization.

3314111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 3314111020 is about 57568.3161122505. The cubic root of 3314111020 is about 1490.9246126703.

Adding to 3314111020 its reverse (201114133), we get a palindrome (3515225153).

The spelling of 3314111020 in words is "three billion, three hundred fourteen million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 331 355 641 662 710 781 1282 1324 1420 1562 1655 2564 3124 3205 3310 3641 3905 6410 6620 7051 7282 7810 12820 14102 14564 15620 18205 23501 28204 35255 36410 45511 47002 70510 72820 91022 94004 117505 141020 182044 212171 227555 235010 258511 424342 455110 470020 500621 517022 848684 910220 1001242 1034044 1060855 1292555 2002484 2121710 2333881 2503105 2585110 4243420 4667762 5006210 5170220 9335524 10012420 11669405 15064141 23338810 30128282 46677620 60256564 75320705 150641410 165705551 301282820 331411102 662822204 828527755 1657055510 3314111020