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101433969169 = 132244992
BaseRepresentation
bin101111001110111101…
…1111000101000010001
3100200211002220112010221
41132131323320220101
53130214044003134
6114333105553041
710220425340431
oct1363573705021
9320732815127
10101433969169
113a021916395
12177aa045781
139746922a00
144ca36962c1
15298a08e5b4
hex179def8a11

101433969169 has 9 divisors (see below), whose sum is σ = 109841266683. Its totient is φ = 93627534312.

The previous prime is 101433969121. The next prime is 101433969181. The reversal of 101433969169 is 961969334101.

The square root of 101433969169 is 318487.

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

It can be written as a sum of positive squares in only one way, i.e., 15005025025 + 86428944144 = 122495^2 + 293988^2 .

It is not a de Polignac number, because 101433969169 - 213 = 101433960977 is a prime.

It is a super-2 number, since 2×1014339691692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101403969169) 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, 4128082 + ... + 4152580.

It is an arithmetic number, because the mean of its divisors is an integer number (12204585187).

Almost surely, 2101433969169 is an apocalyptic number.

101433969169 is the 318487-th square number.

101433969169 is the 159244-th centered octagonal number.

It is an amenable number.

101433969169 is a deficient number, since it is larger than the sum of its proper divisors (8407297514).

101433969169 is an frugal number, since it uses more digits than its factorization.

101433969169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49024 (or 24512 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 52.

The spelling of 101433969169 in words is "one hundred one billion, four hundred thirty-three million, nine hundred sixty-nine thousand, one hundred sixty-nine".

Divisors: 1 13 169 24499 318487 4140331 600201001 7802613013 101433969169