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10200012098977 is a prime number
BaseRepresentation
bin1001010001101110000000…
…0110010000110110100001
31100010010000101021122000001
42110123200012100312201
52314104111044131402
633405453150300001
72101632544212301
oct224334006206641
940103011248001
1010200012098977
113282889a09378
1211889b74b7601
1358cb1ab2274c
1427397ca7d601
1512a4d44a7187
hex946e0190da1

10200012098977 has 2 divisors, whose sum is σ = 10200012098978. Its totient is φ = 10200012098976.

The previous prime is 10200012098957. The next prime is 10200012098981. The reversal of 10200012098977 is 77989021000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10096067759761 + 103944339216 = 3177431^2 + 322404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10200012098977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200012098957) 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, 5100006049488 + 5100006049489.

It is an arithmetic number, because the mean of its divisors is an integer number (5100006049489).

Almost surely, 210200012098977 is an apocalyptic number.

It is an amenable number.

10200012098977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200012098977 is an equidigital number, since it uses as much as digits as its factorization.

10200012098977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 46.

The spelling of 10200012098977 in words is "ten trillion, two hundred billion, twelve million, ninety-eight thousand, nine hundred seventy-seven".