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133818006061 = 10910131211933
BaseRepresentation
bin111110010100000101…
…1001011101000101101
3110210102000012001022201
41330220023023220231
54143024402143221
6141250344141501
712445064166235
oct1745013135055
9423360161281
10133818006061
115182a859643
1221b27467891
13c807ba490c
1466965a6cc5
153733139891
hex1f282cba2d

133818006061 has 8 divisors (see below), whose sum is σ = 135179118360. Its totient is φ = 132459319872.

The previous prime is 133818006059. The next prime is 133818006137. The reversal of 133818006061 is 160600818331.

It can be written as a sum of positive squares in 4 ways, for example, as 14108925961 + 119709080100 = 118781^2 + 345990^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133818006061 - 21 = 133818006059 is a prime.

It is a super-2 number, since 2×1338180060612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133818006061.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133818006041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495550 + ... + 716383.

It is an arithmetic number, because the mean of its divisors is an integer number (16897389795).

Almost surely, 2133818006061 is an apocalyptic number.

It is an amenable number.

133818006061 is a deficient number, since it is larger than the sum of its proper divisors (1361112299).

133818006061 is a wasteful number, since it uses less digits than its factorization.

133818006061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213055.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 133818006061 in words is "one hundred thirty-three billion, eight hundred eighteen million, six thousand, sixty-one".

Divisors: 1 109 1013 110417 1211933 132100697 1227688129 133818006061