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106337074733 is a prime number
BaseRepresentation
bin110001100001000101…
…1101111111000101101
3101011110210222002112022
41203002023233320231
53220234242342413
6120503420315525
710453063136021
oct1430213577055
9334423862468
10106337074733
114110856314a
12187380a2ba5
13a0486874c6
14520a934381
152b75756608
hex18c22efe2d

106337074733 has 2 divisors, whose sum is σ = 106337074734. Its totient is φ = 106337074732.

The previous prime is 106337074709. The next prime is 106337074757. The reversal of 106337074733 is 337470733601.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (106337074709) and next prime (106337074757).

It can be written as a sum of positive squares in only one way, i.e., 68227007209 + 38110067524 = 261203^2 + 195218^2 .

It is a cyclic number.

It is not a de Polignac number, because 106337074733 - 226 = 106269965869 is a prime.

It is a super-2 number, since 2×1063370747332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106337074783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53168537366 + 53168537367.

It is an arithmetic number, because the mean of its divisors is an integer number (53168537367).

Almost surely, 2106337074733 is an apocalyptic number.

It is an amenable number.

106337074733 is a deficient number, since it is larger than the sum of its proper divisors (1).

106337074733 is an equidigital number, since it uses as much as digits as its factorization.

106337074733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 666792, while the sum is 44.

The spelling of 106337074733 in words is "one hundred six billion, three hundred thirty-seven million, seventy-four thousand, seven hundred thirty-three".