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200122212100122 = 23313971293588441
BaseRepresentation
bin101101100000001010010101…
…010111010010100000011010
3222020120111102001020222222000
4231200022111113102200122
5202212300242244200442
61545342513002541430
760103231655113434
oct5540122527224032
9866514361228860
10200122212100122
1158846398611a94
121a541037b07876
13878859c853320
14375bd76a77654
151820988351d4c
hexb602955d281a

200122212100122 has 64 divisors (see below), whose sum is σ = 479418182248320. Its totient is φ = 61512649948800.

The previous prime is 200122212100103. The next prime is 200122212100159. The reversal of 200122212100122 is 221001212221002.

It is a happy number.

200122212100122 is a `hidden beast` number, since 200 + 1 + 222 + 121 + 0 + 0 + 122 = 666.

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 = 200122212100095 and 200122212100104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146112579 + ... + 147475862.

It is an arithmetic number, because the mean of its divisors is an integer number (7490909097630).

Almost surely, 2200122212100122 is an apocalyptic number.

200122212100122 is an abundant number, since it is smaller than the sum of its proper divisors (279295970148198).

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

200122212100122 is a wasteful number, since it uses less digits than its factorization.

200122212100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293589436 (or 293589430 counting only the distinct ones).

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

Adding to 200122212100122 its reverse (221001212221002), we get a palindrome (421123424321124).

The spelling of 200122212100122 in words is "two hundred trillion, one hundred twenty-two billion, two hundred twelve million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 971 1942 2913 5826 8739 12623 17478 25246 26217 37869 52434 75738 113607 227214 340821 681642 293588441 587176882 880765323 1761530646 2642295969 3816649733 5284591938 7633299466 7926887907 11449949199 15853775814 22899898398 34349847597 68699695194 103049542791 206099085582 285074376211 570148752422 855223128633 1710446257266 2565669385899 3705966890743 5131338771798 7411933781486 7697008157697 11117900672229 15394016315394 22235801344458 33353702016687 66707404033374 100061106050061 200122212100122