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1314103021 = 72111012239
BaseRepresentation
bin100111001010011…
…1001111011101101
310101120201100110021
41032110321323231
510142402244041
6334221442141
744364456100
oct11624717355
93346640407
101314103021
11614860060
12308110351
1317c33526a
14c6752737
157a578cd1
hex4e539eed

1314103021 has 36 divisors (see below), whose sum is σ = 1691340480. Its totient is φ = 1009596000.

The previous prime is 1314103001. The next prime is 1314103069. The reversal of 1314103021 is 1203014131.

It is not a de Polignac number, because 1314103021 - 27 = 1314102893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1314102986 and 1314103004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314103001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5498220 + ... + 5498458.

It is an arithmetic number, because the mean of its divisors is an integer number (46981680).

Almost surely, 21314103021 is an apocalyptic number.

1314103021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1314103021 is a deficient number, since it is larger than the sum of its proper divisors (377237459).

1314103021 is a wasteful number, since it uses less digits than its factorization.

1314103021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1314103021 is about 36250.5589060362. The cubic root of 1314103021 is about 1095.3253471906.

Adding to 1314103021 its reverse (1203014131), we get a palindrome (2517117152).

It can be divided in two parts, 131410 and 3021, that added together give a palindrome (134431).

The spelling of 1314103021 in words is "one billion, three hundred fourteen million, one hundred three thousand, twenty-one".

Divisors: 1 7 11 49 77 101 239 539 707 1111 1673 2629 4949 7777 10201 11711 18403 24139 54439 71407 112211 128821 168973 265529 499849 785477 1182811 1858703 2438039 5498339 13010921 17066273 26818429 119463911 187729003 1314103021