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200220221011122 = 232134394993905953
BaseRepresentation
bin101101100001100101100111…
…001001100111010010110010
3222020220212101110022112120200
4231201211213021213102302
5202220402003034323442
61545455522202020030
760113301504112644
oct5541454711472262
9866825343275520
10200220221011122
1158883a12037494
121a55802aaa7616
1387948bb9b86a0
1437629d34bc894
1518232c288934c
hexb619672674b2

200220221011122 has 96 divisors (see below), whose sum is σ = 469183194480000. Its totient is φ = 61342694931456.

The previous prime is 200220221011099. The next prime is 200220221011189. The reversal of 200220221011122 is 221110122022002.

It is a happy number.

200220221011122 is a `hidden beast` number, since 200 + 220 + 2 + 210 + 1 + 11 + 22 = 666.

200220221011122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 200220221011095 and 200220221011104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49307298 + ... + 53213250.

It is an arithmetic number, because the mean of its divisors is an integer number (4887324942500).

Almost surely, 2200220221011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200220221011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234591597240000).

200220221011122 is an abundant number, since it is smaller than the sum of its proper divisors (268962973468878).

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

200220221011122 is a wasteful number, since it uses less digits than its factorization.

200220221011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906912 (or 3906909 counting only the distinct ones).

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

Adding to 200220221011122 its reverse (221110122022002), we get a palindrome (421330343033124).

The spelling of 200220221011122 in words is "two hundred trillion, two hundred twenty billion, two hundred twenty-one million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 439 499 878 998 1317 1497 2634 2994 3951 4491 5707 6487 7902 8982 11414 12974 17121 19461 34242 38922 51363 58383 102726 116766 219061 438122 657183 1314366 1971549 2847793 3905953 3943098 5695586 7811906 8543379 11717859 17086758 23435718 25630137 35153577 50777389 51260274 70307154 101554778 152332167 304664334 456996501 913993002 1714713367 1949070547 3429426734 3898141094 5144140101 5847211641 10288280202 11694423282 15432420303 17541634923 22291273771 25337917111 30864840606 35083269846 44582547542 50675834222 66873821313 76013751333 133747642626 152027502666 200621463939 228041253999 401242927878 456082507998 855641970133 1711283940266 2566925910399 5133851820798 7700777731197 11123345611729 15401555462394 22246691223458 33370036835187 66740073670374 100110110505561 200220221011122