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1223795700009 = 34101212172
BaseRepresentation
bin10001110011101111111…
…010000111000100101001
311022222211102111220210000
4101303233322013010221
5130022313144400014
62334112021013213
7154262540546511
oct21635772070451
94288742456700
101223795700009
1143201084a773
1217921a854209
138b53248277c
1443336982841
1521c78cc3509
hex11cefe87129

1223795700009 has 45 divisors (see below), whose sum is σ = 1847937291541. Its totient is φ = 807122188800.

The previous prime is 1223795700007. The next prime is 1223795700143. The reversal of 1223795700009 is 9000075973221.

The square root of 1223795700009 is 1106253.

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

1223795700009 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 79 + 570 + 0 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 202135664025 + 1021660035984 = 449595^2 + 1010772^2 .

It is not a de Polignac number, because 1223795700009 - 21 = 1223795700007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1223795700007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1005583369 + ... + 1005584585.

Almost surely, 21223795700009 is an apocalyptic number.

1223795700009 is the 1106253-rd square number.

1223795700009 is the 553127-th centered octagonal number.

It is an amenable number.

1223795700009 is a deficient number, since it is larger than the sum of its proper divisors (624141591532).

1223795700009 is an frugal number, since it uses more digits than its factorization.

1223795700009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 1223795700009 in words is "one trillion, two hundred twenty-three billion, seven hundred ninety-five million, seven hundred thousand, nine".

Divisors: 1 3 9 27 81 101 303 909 1217 2727 3651 8181 10201 10953 30603 32859 91809 98577 122917 275427 368751 826281 1106253 1481089 3318759 4443267 9956277 12414617 13329801 37243851 39989403 111731553 119968209 149589989 335194659 448769967 1005583977 1346309901 4038929703 12116789109 15108588889 45325766667 135977300001 407931900003 1223795700009