Search a number
-
+
2200012123122 = 233115717364781
BaseRepresentation
bin100000000000111010111…
…100001110101111110010
321210022121121221110021000
4200000322330032233302
5242021111100414442
64402401022542430
7314642231333322
oct40007274165762
97708547843230
102200012123122
117790245422a0
122b6463737a16
1312c5ca239598
14786a4409282
153c362548d4c
hex2003af0ebf2

2200012123122 has 64 divisors (see below), whose sum is σ = 5333538337920. Its totient is φ = 666648388800.

The previous prime is 2200012123121. The next prime is 2200012123159. The reversal of 2200012123122 is 2213212100022.

It is a super-3 number, since 3×22000121231223 (a number of 38 digits) contains 333 as substring.

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 = 2200012123095 and 2200012123104.

It is not an unprimeable number, because it can be changed into a prime (2200012123121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33928372 + ... + 33993152.

It is an arithmetic number, because the mean of its divisors is an integer number (83336536530).

Almost surely, 22200012123122 is an apocalyptic number.

2200012123122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2200012123122 is an abundant number, since it is smaller than the sum of its proper divisors (3133526214798).

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

2200012123122 is a wasteful number, since it uses less digits than its factorization.

2200012123122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121976 (or 121970 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2200012123122 its reverse (2213212100022), we get a palindrome (4413224223144).

The spelling of 2200012123122 in words is "two trillion, two hundred billion, twelve million, one hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 57173 64781 114346 129562 171519 194343 343038 388686 514557 583029 628903 712591 1029114 1166058 1257806 1425182 1543671 1749087 1886709 2137773 3087342 3498174 3773418 4275546 5660127 6413319 11320254 12826638 16980381 19239957 33960762 38479914 3703724113 7407448226 11111172339 22222344678 33333517017 40740965243 66667034034 81481930486 100000551051 122222895729 200001102102 244445791458 366668687187 733337374374 1100006061561 2200012123122