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10073373377 is a prime number
BaseRepresentation
bin10010110000110101…
…10111101011000001
3222000000211101110212
421120122313223001
5131112240422002
64343323203505
7504425155334
oct113032675301
928000741425
1010073373377
1142aa17a571
121b51676595
13c46c6a582
146b7bc261b
153de553352
hex2586b7ac1

10073373377 has 2 divisors, whose sum is σ = 10073373378. Its totient is φ = 10073373376.

The previous prime is 10073373313. The next prime is 10073373383. The reversal of 10073373377 is 77337337001.

10073373377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10000800016 + 72573361 = 100004^2 + 8519^2 .

It is a cyclic number.

It is not a de Polignac number, because 10073373377 - 26 = 10073373313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10073373077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5036686688 + 5036686689.

It is an arithmetic number, because the mean of its divisors is an integer number (5036686689).

Almost surely, 210073373377 is an apocalyptic number.

It is an amenable number.

10073373377 is a deficient number, since it is larger than the sum of its proper divisors (1).

10073373377 is an equidigital number, since it uses as much as digits as its factorization.

10073373377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194481, while the sum is 41.

The spelling of 10073373377 in words is "ten billion, seventy-three million, three hundred seventy-three thousand, three hundred seventy-seven".