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1021010011037 is a prime number
BaseRepresentation
bin11101101101110001111…
…00000110001110011101
310121121101221110120101222
432312320330012032131
5113212012030323122
62101013455543125
7133523402620352
oct16667074061635
93547357416358
101021010011037
1136400a596185
12145a6622aaa5
1375385ca7233
14375ba924629
151b85aedeb42
hexedb8f0639d

1021010011037 has 2 divisors, whose sum is σ = 1021010011038. Its totient is φ = 1021010011036.

The previous prime is 1021010011009. The next prime is 1021010011093. The reversal of 1021010011037 is 7301100101201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 854267638756 + 166742372281 = 924266^2 + 408341^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021010011037 - 26 = 1021010010973 is a prime.

It is a super-2 number, since 2×10210100110372 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021010011537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510505005518 + 510505005519.

It is an arithmetic number, because the mean of its divisors is an integer number (510505005519).

Almost surely, 21021010011037 is an apocalyptic number.

It is an amenable number.

1021010011037 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021010011037 is an equidigital number, since it uses as much as digits as its factorization.

1021010011037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 1021010011037 its reverse (7301100101201), we get a palindrome (8322110112238).

The spelling of 1021010011037 in words is "one trillion, twenty-one billion, ten million, eleven thousand, thirty-seven".