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1321501140 = 223257341673
BaseRepresentation
bin100111011000100…
…1000000111010100
310102002122012202200
41032301020013110
510201301014030
6335044204500
744514401001
oct11661100724
93362565680
101321501140
11618a53403
1230a699730
13180a2574b
14c771a8a8
157b03ad60
hex4ec481d4

1321501140 has 36 divisors (see below), whose sum is σ = 4008554004. Its totient is φ = 352400256.

The previous prime is 1321501127. The next prime is 1321501151. The reversal of 1321501140 is 411051231.

1321501140 is a `hidden beast` number, since 1 + 3 + 21 + 501 + 140 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 592825104 + 728676036 = 24348^2 + 26994^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3670657 + ... + 3671016.

Almost surely, 21321501140 is an apocalyptic number.

1321501140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321501140 is an abundant number, since it is smaller than the sum of its proper divisors (2687052864).

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

1321501140 is a wasteful number, since it uses less digits than its factorization.

1321501140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7341688 (or 7341683 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1321501140 is about 36352.4571384109. The cubic root of 1321501140 is about 1097.3769843942.

Adding to 1321501140 its reverse (411051231), we get a palindrome (1732552371).

The spelling of 1321501140 in words is "one billion, three hundred twenty-one million, five hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7341673 14683346 22025019 29366692 36708365 44050038 66075057 73416730 88100076 110125095 132150114 146833460 220250190 264300228 330375285 440500380 660750570 1321501140