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2014131000 = 23353795911
BaseRepresentation
bin111100000001101…
…0011001100111000
312012100221110022110
41320003103030320
513111104143000
6531505452320
7100624555020
oct17003231470
95170843273
102014131000
11943a19482
124826410a0
132613842bb
141516d6a80
15bbc54850
hex780d3338

2014131000 has 128 divisors (see below), whose sum is σ = 7181890560. Its totient is φ = 460368000.

The previous prime is 2014130983. The next prime is 2014131013. The reversal of 2014131000 is 1314102.

It is a happy number.

It is a super-2 number, since 2×20141310002 = 8113447370322000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26956 + ... + 68955.

It is an arithmetic number, because the mean of its divisors is an integer number (56108520).

Almost surely, 22014131000 is an apocalyptic number.

2014131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014131000 is an abundant number, since it is smaller than the sum of its proper divisors (5167759560).

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

2014131000 is a wasteful number, since it uses less digits than its factorization.

2014131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95942 (or 95928 counting only the distinct ones).

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

The square root of 2014131000 is about 44879.0708459968. The cubic root of 2014131000 is about 1262.8814127149.

Adding to 2014131000 its reverse (1314102), we get a palindrome (2015445102).

The spelling of 2014131000 in words is "two billion, fourteen million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 95911 191822 287733 383644 479555 575466 671377 767288 959110 1150932 1342754 1438665 1918220 2014131 2301864 2397775 2685508 2877330 3356885 3836440 4028262 4795550 5371016 5754660 6713770 7193325 8056524 9591100 10070655 11509320 11988875 13427540 14386650 16113048 16784425 19182200 20141310 23977750 26855080 28773300 33568850 35966625 40282620 47955500 50353275 57546600 67137700 71933250 80565240 83922125 95911000 100706550 134275400 143866500 167844250 201413100 251766375 287733000 335688500 402826200 503532750 671377000 1007065500 2014131000