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90021211201 is a prime number
BaseRepresentation
bin101001111010110101…
…1101010110001000001
322121100201210100102101
41103311223222301001
52433330412224301
6105204414550401
76334544445535
oct1236553526101
9277321710371
1090021211201
11351a5699409
1215543b08401
13864833aa9c
1444dda5dbc5
15251d16b701
hex14f5aeac41

90021211201 has 2 divisors, whose sum is σ = 90021211202. Its totient is φ = 90021211200.

The previous prime is 90021211153. The next prime is 90021211229. The reversal of 90021211201 is 10211212009.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66757640625 + 23263570576 = 258375^2 + 152524^2 .

It is a cyclic number.

It is not a de Polignac number, because 90021211201 - 27 = 90021211073 is a prime.

It is not a weakly prime, because it can be changed into another prime (90021211601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45010605600 + 45010605601.

It is an arithmetic number, because the mean of its divisors is an integer number (45010605601).

Almost surely, 290021211201 is an apocalyptic number.

It is an amenable number.

90021211201 is a deficient number, since it is larger than the sum of its proper divisors (1).

90021211201 is an equidigital number, since it uses as much as digits as its factorization.

90021211201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 90021211201 in words is "ninety billion, twenty-one million, two hundred eleven thousand, two hundred one".