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21122011121202 = 2321173445062289
BaseRepresentation
bin1001100110101110110011…
…11110000100011000110010
32202210020121021100002021200
410303113121332010120302
510232030334321334302
6112531152402232030
74310005061134305
oct463273176043062
982706537302250
1021122011121202
1168038816a0192
122451706955616
13ba2a49305c84
1453044cb5cb3c
15269672e1081c
hex1335d9f84632

21122011121202 has 12 divisors (see below), whose sum is σ = 45764357429310. Its totient is φ = 7040670373728.

The previous prime is 21122011121201. The next prime is 21122011121209. The reversal of 21122011121202 is 20212111022112.

21122011121202 is a `hidden beast` number, since 211 + 220 + 1 + 11 + 21 + 202 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11639485365561 + 9482525755641 = 3411669^2 + 3079371^2 .

It is a super-2 number, since 2×211220111212022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1173445062289 = 21122011121202 / (2 + 1 + 1 + 2 + 2 + 0 + 1 + 1 + 1 + 2 + 1 + 2 + 0 + 2).

It is not an unprimeable number, because it can be changed into a prime (21122011121201) 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 5 ways as a sum of consecutive naturals, for example, 586722531127 + ... + 586722531162.

Almost surely, 221122011121202 is an apocalyptic number.

21122011121202 is an abundant number, since it is smaller than the sum of its proper divisors (24642346308108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21122011121202 is a wasteful number, since it uses less digits than its factorization.

21122011121202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173445062297 (or 1173445062294 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122011121202 its reverse (20212111022112), we get a palindrome (41334122143314).

The spelling of 21122011121202 in words is "twenty-one trillion, one hundred twenty-two billion, eleven million, one hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 1173445062289 2346890124578 3520335186867 7040670373734 10561005560601 21122011121202