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21122220012219 = 344133231913993
BaseRepresentation
bin1001100110101111001100…
…11010111011001010111011
32202210021010211101211220000
410303113212122323022323
510232031301310342334
6112531225223404043
74310013205522104
oct463274632731273
982707124354800
1021122220012219
1168039795a6097
1224517648b3623
13ba2a80684121
1453046c7b73ab
15269686424299
hex1335e66bb2bb

21122220012219 has 40 divisors (see below), whose sum is σ = 32332273796592. Its totient is φ = 13733887875840.

The previous prime is 21122220012197. The next prime is 21122220012241. The reversal of 21122220012219 is 91221002222112.

21122220012219 is a `hidden beast` number, since 2 + 11 + 222 + 200 + 1 + 221 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (21122220012197) and next prime (21122220012241).

It is not a de Polignac number, because 21122220012219 - 29 = 21122220011707 is a prime.

It is a super-2 number, since 2×211222200122192 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21122220012192 and 21122220012201.

It is not an unprimeable number, because it can be changed into a prime (21122220012269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10078687 + ... + 11992679.

Almost surely, 221122220012219 is an apocalyptic number.

21122220012219 is a deficient number, since it is larger than the sum of its proper divisors (11210053784373).

21122220012219 is a wasteful number, since it uses less digits than its factorization.

21122220012219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917369 (or 1917360 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 21122220012219 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, twelve thousand, two hundred nineteen".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 3323 9969 29907 89721 136243 269163 408729 1226187 1913993 3678561 5741979 11035683 17225937 51677811 78473713 155033433 235421139 706263417 2118790251 6356370753 6360198739 19080596217 57241788651 171725365953 260768148299 515176097859 782304444897 2346913334691 7040740004073 21122220012219