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200212211102211 = 3271122712371028873
BaseRepresentation
bin101101100001011110001001…
…101110001111001000000011
3222020220002201020021000012200
4231201132021232033020003
5202220234102020232321
61545452115305524243
760112566143032560
oct5541361156171003
9866802636230180
10200212211102211
1158880581711360
121a5565744a3683
138793c133b6309
143762473795867
151822ea4582d26
hexb61789b8f203

200212211102211 has 96 divisors (see below), whose sum is σ = 362436785238528. Its totient is φ = 103464356037120.

The previous prime is 200212211102201. The next prime is 200212211102221. The reversal of 200212211102211 is 112201112212002.

200212211102211 is a `hidden beast` number, since 20 + 0 + 212 + 211 + 1 + 0 + 221 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (200212211102201) and next prime (200212211102221).

It is not a de Polignac number, because 200212211102211 - 26 = 200212211102147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200212211102201) 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 95 ways as a sum of consecutive naturals, for example, 194079271 + ... + 195108143.

It is an arithmetic number, because the mean of its divisors is an integer number (3775383179568).

Almost surely, 2200212211102211 is an apocalyptic number.

200212211102211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

200212211102211 is a deficient number, since it is larger than the sum of its proper divisors (162224574136317).

200212211102211 is a wasteful number, since it uses less digits than its factorization.

200212211102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030361 (or 1030358 counting only the distinct ones).

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

Adding to 200212211102211 its reverse (112201112212002), we get a palindrome (312413323314213).

The spelling of 200212211102211 in words is "two hundred trillion, two hundred twelve billion, two hundred eleven million, one hundred two thousand, two hundred eleven".

Divisors: 1 3 7 9 11 21 33 63 77 99 227 231 681 693 1237 1589 2043 2497 3711 4767 7491 8659 11133 13607 14301 17479 22473 25977 40821 52437 77931 95249 122463 157311 280799 285747 842397 857241 1028873 1965593 2527191 3086619 3088789 5896779 7202111 9259857 9266367 11317603 17690337 21606333 21621523 27799101 33952809 64818999 64864569 79223221 101858427 194593707 233554171 237669663 700662513 713008989 1272715901 1634879197 2101987539 2569095881 3818147703 4904637591 7707287643 8909011307 11454443109 13999874911 14713912773 17983671167 23121862929 26727033921 41999624733 53951013501 80181101763 97999124377 125998874199 161853040503 288906509527 293997373131 866719528581 881992119393 2022345566689 2600158585743 3177971604797 6067036700067 9533914814391 18201110100201 22245801233579 28601744443173 66737403700737 200212211102211