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200011121222100 = 223521973384282931
BaseRepresentation
bin101101011110100010110111…
…110101001110000111010100
3222020011212122221011200021020
4231132202313311032013110
5202203440234013101400
61545215501323521140
760062220016201536
oct5536426765160724
9866155587150236
10200011121222100
11588032707180a1
121a5235b39891b0
13877ac7734a786
143756838a4b856
15181cb355c62a0
hexb5e8b7d4e1d4

200011121222100 has 72 divisors (see below), whose sum is σ = 581636401825248. Its totient is φ = 53065556342400.

The previous prime is 200011121222071. The next prime is 200011121222111. The reversal of 200011121222100 is 1222121110002.

It is a super-2 number, since 2×2000111212221002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200011121222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1692082366 + ... + 1692200565.

It is an arithmetic number, because the mean of its divisors is an integer number (8078283358684).

Almost surely, 2200011121222100 is an apocalyptic number.

200011121222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200011121222100 is an abundant number, since it is smaller than the sum of its proper divisors (381625280603148).

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

200011121222100 is a wasteful number, since it uses less digits than its factorization.

200011121222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384283145 (or 3384283138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200011121222100 its reverse (1222121110002), we get a palindrome (201233242332102).

The spelling of 200011121222100 in words is "two hundred trillion, eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2364 2955 3940 4925 5910 9850 11820 14775 19700 29550 59100 3384282931 6768565862 10152848793 13537131724 16921414655 20305697586 33842829310 40611395172 50764243965 67685658620 84607073275 101528487930 169214146550 203056975860 253821219825 338428293100 507642439650 666703737407 1015284879300 1333407474814 2000111212221 2666814949628 3333518687035 4000222424442 6667037374070 8000444848884 10000556061105 13334074748140 16667593435175 20001112122210 33335186870350 40002224244420 50002780305525 66670373740700 100005560611050 200011121222100