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2014311300 = 2235217394963
BaseRepresentation
bin111100000001111…
…1111001110000100
312012101021121122020
41320003333032010
513111130430200
6531513403140
7100626235461
oct17003771604
95171247566
102014311300
11944031991
124827094b0
132614183a1
14151742668
15bbc8cea0
hex780ff384

2014311300 has 72 divisors (see below), whose sum is σ = 6170917536. Its totient is φ = 505551360.

The previous prime is 2014311281. The next prime is 2014311301. The reversal of 2014311300 is 31134102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2014311300.

It is not an unprimeable number, because it can be changed into a prime (2014311301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192382 + ... + 202581.

It is an arithmetic number, because the mean of its divisors is an integer number (85707188).

Almost surely, 22014311300 is an apocalyptic number.

2014311300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014311300 is an abundant number, since it is smaller than the sum of its proper divisors (4156606236).

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

2014311300 is a wasteful number, since it uses less digits than its factorization.

2014311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394997 (or 394990 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2014311300 is about 44881.0795324711. The cubic root of 2014311300 is about 1262.9190949254.

Adding to 2014311300 its reverse (31134102), we get a palindrome (2045445402).

The spelling of 2014311300 in words is "two billion, fourteen million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 394963 789926 1184889 1579852 1974815 2369778 3949630 4739556 5924445 6714371 7899260 9874075 11848890 13428742 19748150 20143113 23697780 26857484 29622225 33571855 39496300 40286226 59244450 67143710 80572452 100715565 118488900 134287420 167859275 201431130 335718550 402862260 503577825 671437100 1007155650 2014311300