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1314002120 = 235205316001
BaseRepresentation
bin100111001010010…
…0001010011001000
310101120112020001012
41032110201103020
510142341031440
6334215343052
744363555654
oct11624412310
93346466035
101314002120
116147a1272
12308081a88
1317c2cb362
14c6727a64
157a558e65
hex4e5214c8

1314002120 has 32 divisors (see below), whose sum is σ = 2958129720. Its totient is φ = 525312000.

The previous prime is 1314002119. The next prime is 1314002143. The reversal of 1314002120 is 212004131.

It can be written as a sum of positive squares in 4 ways, for example, as 1225980196 + 88021924 = 35014^2 + 9382^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1314002095 and 1314002104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74120 + ... + 90120.

Almost surely, 21314002120 is an apocalyptic number.

1314002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314002120 is an abundant number, since it is smaller than the sum of its proper divisors (1644127600).

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

1314002120 is a wasteful number, since it uses less digits than its factorization.

1314002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18065 (or 18061 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1314002120 is about 36249.1671628467. The cubic root of 1314002120 is about 1095.2973122878.

Adding to 1314002120 its reverse (212004131), we get a palindrome (1526006251).

The spelling of 1314002120 in words is "one billion, three hundred fourteen million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2053 4106 8212 10265 16001 16424 20530 32002 41060 64004 80005 82120 128008 160010 320020 640040 32850053 65700106 131400212 164250265 262800424 328500530 657001060 1314002120