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90000010212121 = 1012397133717317
BaseRepresentation
bin10100011101101011000010…
…101000110111001100011001
3102210122220202110022002212001
4110131223002220313030121
543244030010103241441
6515225233420321001
724646200103336612
oct2435530250671431
9383586673262761
1090000010212121
1126749876518729
12a1167313a3161
133b2ac701549c9
1418320491c0c09
15a611906e7731
hex51dac2a37319

90000010212121 has 8 divisors (see below), whose sum is σ = 90891503039304. Its totient is φ = 89108525299200.

The previous prime is 90000010212059. The next prime is 90000010212157. The reversal of 90000010212121 is 12121201000009.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31285720836496 + 58714289375625 = 5593364^2 + 7662525^2 .

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 90000010212121 - 233 = 89991420277529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90000010213121) 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 in 7 ways as a sum of consecutive naturals, for example, 22352355 + ... + 26069671.

It is an arithmetic number, because the mean of its divisors is an integer number (11361437879913).

Almost surely, 290000010212121 is an apocalyptic number.

It is an amenable number.

90000010212121 is a deficient number, since it is larger than the sum of its proper divisors (891492827183).

90000010212121 is a wasteful number, since it uses less digits than its factorization.

90000010212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957131.

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

The spelling of 90000010212121 in words is "ninety trillion, ten million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 101 239713 3717317 24211013 375449017 891089210021 90000010212121