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1001211100993 = 27724771459217
BaseRepresentation
bin11101001000111001101…
…01001111111101000001
310112201022010022201201101
432210130311033331001
5112400440020212433
62043541112334401
7132222641640505
oct16443465177501
93481263281641
101001211100993
1135667a624004
1214205b6a4401
137354c178a4c
143665d226305
151b09cc4607d
hexe91cd4ff41

1001211100993 has 8 divisors (see below), whose sum is σ = 1005231932712. Its totient is φ = 997193193216.

The previous prime is 1001211100987. The next prime is 1001211101003. The reversal of 1001211100993 is 3990011121001.

It can be written as a sum of positive squares in 4 ways, for example, as 9689055489 + 991522045504 = 98433^2 + 995752^2 .

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 1001211100993 - 25 = 1001211100961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001211100193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43480 + ... + 1415737.

It is an arithmetic number, because the mean of its divisors is an integer number (125653991589).

Almost surely, 21001211100993 is an apocalyptic number.

It is an amenable number.

1001211100993 is a deficient number, since it is larger than the sum of its proper divisors (4020831719).

1001211100993 is a wasteful number, since it uses less digits than its factorization.

1001211100993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461971.

The product of its (nonzero) digits is 486, while the sum is 28.

Adding to 1001211100993 its reverse (3990011121001), we get a palindrome (4991222221994).

The spelling of 1001211100993 in words is "one trillion, one billion, two hundred eleven million, one hundred thousand, nine hundred ninety-three".

Divisors: 1 277 2477 686129 1459217 404203109 3614480509 1001211100993