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133143982321 = 72521272
BaseRepresentation
bin111101111111111111…
…1111111000011110001
3110201200000220002120111
41323333333333003301
54140134324413241
6141055425341321
712422301114400
oct1737777770361
9421600802514
10133143982321
1151514341629
1221979797841
13c72b35bbbc
146630c71637
1536e3d98c81
hex1efffff0f1

133143982321 has 9 divisors (see below), whose sum is σ = 154884746649. Its totient is φ = 114121224084.

The previous prime is 133143982319. The next prime is 133143982327. The reversal of 133143982321 is 123289341331.

It is a happy number.

The square root of 133143982321 is 364889.

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

It is not a de Polignac number, because 133143982321 - 21 = 133143982319 is a prime.

It is a super-3 number, since 3×1331439823213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133143982327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2528160 + ... + 2580286.

Almost surely, 2133143982321 is an apocalyptic number.

133143982321 is the 364889-th square number.

133143982321 is the 182445-th centered octagonal number.

It is an amenable number.

133143982321 is a deficient number, since it is larger than the sum of its proper divisors (21740764328).

133143982321 is an frugal number, since it uses more digits than its factorization.

133143982321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104268 (or 52134 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The spelling of 133143982321 in words is "one hundred thirty-three billion, one hundred forty-three million, nine hundred eighty-two thousand, three hundred twenty-one".

Divisors: 1 7 49 52127 364889 2554223 2717224129 19020568903 133143982321