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133581377023081 = 134683892
BaseRepresentation
bin11110010111110111010110…
…100001101010110001101001
3122111222020212211201101000021
4132113313112201222301221
5120002044130004214311
61152034234252440441
740064636023134331
oct3627672641526151
9574866784641007
10133581377023081
11396215a8963289
1212b94b70a79121
13596c892730000
1424db531ca40c1
151069b58c46171
hex797dd686ac69

133581377023081 has 15 divisors (see below), whose sum is σ = 144714884742051. Its totient is φ = 123304083475248.

The previous prime is 133581377023069. The next prime is 133581377023099. The reversal of 133581377023081 is 180320773185331.

The square root of 133581377023081 is 11557741.

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

It can be written as a sum of positive squares in 7 ways, for example, as 118532408533081 + 15048968490000 = 10887259^2 + 3879300^2 .

It is not a de Polignac number, because 133581377023081 - 213 = 133581377014889 is a prime.

It is a super-2 number, since 2×1335813770230812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133581377020081) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1953224035 + ... + 1953292423.

Almost surely, 2133581377023081 is an apocalyptic number.

133581377023081 is the 11557741-st square number.

133581377023081 is the 5778871-st centered octagonal number.

It is an amenable number.

133581377023081 is a deficient number, since it is larger than the sum of its proper divisors (11133507718970).

133581377023081 is an frugal number, since it uses more digits than its factorization.

133581377023081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136830 (or 68402 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 133581377023081 in words is "one hundred thirty-three trillion, five hundred eighty-one billion, three hundred seventy-seven million, twenty-three thousand, eighty-one".

Divisors: 1 13 169 2197 28561 68389 889057 11557741 150250633 1953258229 4677055321 60801719173 790422349249 10275490540237 133581377023081