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200212220011221 = 33112131497363611
BaseRepresentation
bin101101100001011110001010…
…010000001110001011010101
3222020220002201212000122002000
4231201132022100032023111
5202220234111310324341
61545452120224505513
760112566311536425
oct5541361220161325
9866802655018060
10200212220011221
1158880586746880
121a55657747b299
138793c151b5412
143762474a34485
151822ea52428b6
hexb6178a40e2d5

200212220011221 has 64 divisors (see below), whose sum is σ = 323797334215680. Its totient is φ = 121257503928000.

The previous prime is 200212220011213. The next prime is 200212220011241. The reversal of 200212220011221 is 122110022212002.

It is a happy number.

200212220011221 is a `hidden beast` number, since 2 + 0 + 0 + 212 + 220 + 0 + 11 + 221 = 666.

It is not a de Polignac number, because 200212220011221 - 23 = 200212220011213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200212220011194 and 200212220011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212220011201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3147414706 + ... + 3147478316.

It is an arithmetic number, because the mean of its divisors is an integer number (5059333347120).

Almost surely, 2200212220011221 is an apocalyptic number.

It is an amenable number.

200212220011221 is a deficient number, since it is larger than the sum of its proper divisors (123585114204459).

200212220011221 is a wasteful number, since it uses less digits than its factorization.

200212220011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70735 (or 70729 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200212220011221 its reverse (122110022212002), we get a palindrome (322322242223223).

The spelling of 200212220011221 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 2131 4973 6393 14919 19179 23441 44757 54703 57537 63611 70323 134271 164109 190833 210969 492327 572499 632907 699721 1476981 1717497 2099163 6297489 10597463 18892467 31792389 95377167 116572093 135555041 286131501 316337503 349716279 406665123 949012509 1049148837 1219995369 1491105451 2847037527 3147446511 3479712533 3659986107 4473316353 8541112581 10439137599 13419949059 31317412797 40259847177 93952238391 674115218893 2022345656679 6067036970037 7415267407823 18201110910111 22245802223469 66737406670407 200212220011221