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2014131120 = 243583101111
BaseRepresentation
bin111100000001101…
…0011001110110000
312012100221110110220
41320003103032300
513111104143440
6531505453040
7100624555251
oct17003231660
95170843426
102014131120
11943a19581
12482641180
13261384381
141516d6b28
15bbc548d0
hex780d33b0

2014131120 has 80 divisors (see below), whose sum is σ = 6319095552. Its totient is φ = 530625280.

The previous prime is 2014131107. The next prime is 2014131121. The reversal of 2014131120 is 211314102.

It is a tau number, because it is divible by the number of its divisors (80).

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 2014131120.

It is not an unprimeable number, because it can be changed into a prime (2014131121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30636 + ... + 70475.

Almost surely, 22014131120 is an apocalyptic number.

2014131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014131120 is an abundant number, since it is smaller than the sum of its proper divisors (4304964432).

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

2014131120 is a wasteful number, since it uses less digits than its factorization.

2014131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101210 (or 101204 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2014131120 is about 44879.0721829229. The cubic root of 2014131120 is about 1262.8814377953.

Adding to 2014131120 its reverse (211314102), we get a palindrome (2225445222).

The spelling of 2014131120 in words is "two billion, fourteen million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3984 4980 6640 9960 19920 101111 202222 303333 404444 505555 606666 808888 1011110 1213332 1516665 1617776 2022220 2426664 3033330 4044440 4853328 6066660 8088880 8392213 12133320 16784426 24266640 25176639 33568852 41961065 50353278 67137704 83922130 100706556 125883195 134275408 167844260 201413112 251766390 335688520 402826224 503532780 671377040 1007065560 2014131120