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111010001009993 is a prime number
BaseRepresentation
bin11001001111011010000111…
…101011010011110101001001
3112120001110012211122011011122
4121033122013223103311021
5104022241440224304433
61032033142422405025
732245131211455251
oct3117320753236511
9476043184564148
10111010001009993
113240a0935aa9a8
121054a594890775
1349c327651c097
141d5acac6d0961
15cc7958e86198
hex64f687ad3d49

111010001009993 has 2 divisors, whose sum is σ = 111010001009994. Its totient is φ = 111010001009992.

The previous prime is 111010001009983. The next prime is 111010001010031. The reversal of 111010001009993 is 399900100010111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96022595988544 + 14987405021449 = 9799112^2 + 3871357^2 .

It is a cyclic number.

It is not a de Polignac number, because 111010001009993 - 24 = 111010001009977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (111010001009933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505000504996 + 55505000504997.

It is an arithmetic number, because the mean of its divisors is an integer number (55505000504997).

Almost surely, 2111010001009993 is an apocalyptic number.

It is an amenable number.

111010001009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010001009993 is an equidigital number, since it uses as much as digits as its factorization.

111010001009993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 35.

The spelling of 111010001009993 in words is "one hundred eleven trillion, ten billion, one million, nine thousand, nine hundred ninety-three".