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1321400010 = 23577386197
BaseRepresentation
bin100111011000010…
…1111011011001010
310102002110002001010
41032300233123022
510201234300020
6335042104350
744513500110
oct11660573312
93362402033
101321400010
11618994427
1230a64b0b6
131809bb6c8
14c76d1ab0
157b01ade0
hex4ec2f6ca

1321400010 has 64 divisors (see below), whose sum is σ = 3674103552. Its totient is φ = 297893376.

The previous prime is 1321399967. The next prime is 1321400023. The reversal of 1321400010 is 100041231.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27769 + ... + 58428.

It is an arithmetic number, because the mean of its divisors is an integer number (57407868).

Almost surely, 21321400010 is an apocalyptic number.

1321400010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1321400010 is an abundant number, since it is smaller than the sum of its proper divisors (2352703542).

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

1321400010 is a wasteful number, since it uses less digits than its factorization.

1321400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86287.

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

The square root of 1321400010 is about 36351.0661466758. The cubic root of 1321400010 is about 1097.3489908339.

Adding to 1321400010 its reverse (100041231), we get a palindrome (1421441241).

The spelling of 1321400010 in words is "one billion, three hundred twenty-one million, four hundred thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 730 1022 1095 1533 2190 2555 3066 5110 7665 15330 86197 172394 258591 430985 517182 603379 861970 1206758 1292955 1810137 2585910 3016895 3620274 6033790 6292381 9050685 12584762 18101370 18877143 31461905 37754286 44046667 62923810 88093334 94385715 132140001 188771430 220233335 264280002 440466670 660700005 1321400010