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1114002120 = 2335711120563
BaseRepresentation
bin100001001100110…
…0101001011001000
32212122012011121210
41002121211023020
54240141031440
6302312533120
736414601410
oct10231451310
92778164553
101114002120
11521909310
122710b11a0
13149a4406a
14a7d45640
1567beea80
hex426652c8

1114002120 has 128 divisors (see below), whose sum is σ = 4166691840. Its totient is φ = 231479040.

The previous prime is 1114002077. The next prime is 1114002121. The reversal of 1114002120 is 212004111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1114002096 and 1114002105.

It is not an unprimeable number, because it can be changed into a prime (1114002121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51042 + ... + 69521.

It is an arithmetic number, because the mean of its divisors is an integer number (32552280).

Almost surely, 21114002120 is an apocalyptic number.

1114002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114002120 is an abundant number, since it is smaller than the sum of its proper divisors (3052689720).

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

1114002120 is a wasteful number, since it uses less digits than its factorization.

1114002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120595 (or 120591 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1114002120 is about 33376.6702952826. The cubic root of 1114002120 is about 1036.6416943538.

Adding to 1114002120 its reverse (212004111), we get a palindrome (1326006231).

The spelling of 1114002120 in words is "one billion, one hundred fourteen million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 120563 241126 361689 482252 602815 723378 843941 964504 1205630 1326193 1446756 1687882 1808445 2411260 2531823 2652386 2893512 3375764 3616890 3978579 4219705 4822520 5063646 5304772 6630965 6751528 7233780 7957158 8439410 9283351 10127292 10609544 12659115 13261930 14467560 15914316 16878820 18566702 19892895 20254584 25318230 26523860 27850053 31828632 33757640 37133404 39785790 46416755 50636460 53047720 55700106 74266808 79571580 92833510 101272920 111400212 139250265 159143160 185667020 222800424 278500530 371334040 557001060 1114002120