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1321249801 = 16322232
BaseRepresentation
bin100111011000000…
…1010110000001001
310102002011102222211
41032300022300021
510201214443201
6335034545121
744512303144
oct11660126011
93362142884
101321249801
116188a1593
1230a5981a1
13180968221
14c769305b
157aedb651
hex4ec0ac09

1321249801 has 9 divisors (see below), whose sum is σ = 1335393549. Its totient is φ = 1307255436.

The previous prime is 1321249771. The next prime is 1321249807. The reversal of 1321249801 is 1089421231.

The square root of 1321249801 is 36349.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 1321249801 - 213 = 1321241609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1321249807) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5924776 + ... + 5924998.

It is an arithmetic number, because the mean of its divisors is an integer number (148377061).

Almost surely, 21321249801 is an apocalyptic number.

1321249801 is the 36349-th square number.

1321249801 is the 18175-th centered octagonal number.

It is an amenable number.

1321249801 is a deficient number, since it is larger than the sum of its proper divisors (14143748).

1321249801 is an frugal number, since it uses more digits than its factorization.

1321249801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The cubic root of 1321249801 is about 1097.3074091934.

The spelling of 1321249801 in words is "one billion, three hundred twenty-one million, two hundred forty-nine thousand, eight hundred one".

Divisors: 1 163 223 26569 36349 49729 5924887 8105827 1321249801