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10000109977 = 112136357349
BaseRepresentation
bin10010101000000110…
…11001000110011001
3221210220222012222121
421110003121012121
5130440012004402
64332145021241
7502545350404
oct112403310631
927726865877
1010000109977
11427188a700
121b31024821
13c34a28550
146ac190d3b
153d7dd0837
hex2540d9199

10000109977 has 12 divisors (see below), whose sum is σ = 11837385700. Its totient is φ = 8391699360.

The previous prime is 10000109941. The next prime is 10000109981. The reversal of 10000109977 is 77990100001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3685582681 + 6314527296 = 60709^2 + 79464^2 .

It is a de Polignac number, because none of the positive numbers 2k-10000109977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000101977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3177102 + ... + 3180247.

Almost surely, 210000109977 is an apocalyptic number.

It is an amenable number.

10000109977 is a deficient number, since it is larger than the sum of its proper divisors (1837275723).

10000109977 is a wasteful number, since it uses less digits than its factorization.

10000109977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357384 (or 6357373 counting only the distinct ones).

The product of its (nonzero) digits is 3969, while the sum is 34.

Adding to 10000109977 its reverse (77990100001), we get a palindrome (87990209978).

The spelling of 10000109977 in words is "ten billion, one hundred nine thousand, nine hundred seventy-seven".

Divisors: 1 11 13 121 143 1573 6357349 69930839 82645537 769239229 909100907 10000109977