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200211020221122 = 232101186159176289
BaseRepresentation
bin101101100001011101000010…
…101111011000101011000010
3222020212222122020101222110200
4231201131002233120223002
5202220224132134033442
61545451401205110030
760112524502514211
oct5541350257305302
9866788566358420
10200211020221122
1158880020473809
121a5562a16b8316
138793a83765651
14376239d55b078
151822e34c4934c
hexb61742bd8ac2

200211020221122 has 48 divisors (see below), whose sum is σ = 438320910376440. Its totient is φ = 66040737408000.

The previous prime is 200211020221103. The next prime is 200211020221139. The reversal of 200211020221122 is 221122020112002.

It is a happy number.

200211020221122 is a `hidden beast` number, since 20 + 0 + 211 + 0 + 202 + 211 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 131278866374601 + 68932153846521 = 11457699^2 + 8302539^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200211020221095 and 200211020221104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26204847 + ... + 32971442.

Almost surely, 2200211020221122 is an apocalyptic number.

200211020221122 is an abundant number, since it is smaller than the sum of its proper divisors (238109890155318).

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

200211020221122 is a wasteful number, since it uses less digits than its factorization.

200211020221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59178259 (or 59178256 counting only the distinct ones).

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

Adding to 200211020221122 its reverse (221122020112002), we get a palindrome (421333040333124).

The spelling of 200211020221122 in words is "two hundred trillion, two hundred eleven billion, twenty million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 1861 3722 5583 11166 16749 33498 187961 375922 563883 1127766 1691649 3383298 59176289 118352578 177528867 355057734 532586601 1065173202 5976805189 11953610378 17930415567 35860831134 53791246701 107582493402 110127073829 220254147658 330381221487 660762442974 991143664461 1982287328922 11122834456729 22245668913458 33368503370187 66737006740374 100105510110561 200211020221122