Search a number
-
+
1210221331209 = 34117431828093
BaseRepresentation
bin10001100111000110110…
…100000000001100001001
311021200210101221112110000
4101213012310000030021
5124312013130044314
62323545031113213
7153302261404332
oct21470664001411
94250711845400
101210221331209
11427285433560
12176670812809
138a17b0ba797
1442809c23289
1521732218209
hex119c6d00309

1210221331209 has 40 divisors (see below), whose sum is σ = 1974868011072. Its totient is φ = 732479902560.

The previous prime is 1210221331201. The next prime is 1210221331219. The reversal of 1210221331209 is 9021331220121.

1210221331209 is a `hidden beast` number, since 1 + 2 + 102 + 21 + 331 + 209 = 666.

It is not a de Polignac number, because 1210221331209 - 23 = 1210221331201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1210221331201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 252034 + ... + 1576059.

Almost surely, 21210221331209 is an apocalyptic number.

It is an amenable number.

1210221331209 is a deficient number, since it is larger than the sum of its proper divisors (764646679863).

1210221331209 is a wasteful number, since it uses less digits than its factorization.

1210221331209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828859 (or 1828850 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

It can be divided in two parts, 12102 and 21331209, that added together give a triangular number (21343311 = T6533).

The spelling of 1210221331209 in words is "one trillion, two hundred ten billion, two hundred twenty-one million, three hundred thirty-one thousand, two hundred nine".

Divisors: 1 3 9 11 27 33 81 99 297 743 891 2229 6687 8173 20061 24519 60183 73557 220671 662013 1828093 5484279 16452837 20109023 49358511 60327069 148075533 180981207 542943621 1358273099 1628830863 4074819297 12224457891 14941004089 36673373673 44823012267 110020121019 134469036801 403407110403 1210221331209