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10122220200 = 23352161310459
BaseRepresentation
bin10010110110101010…
…01101001010101000
3222010102202001201110
421123111031022220
5131212242021300
64352230150320
7505560311031
oct113325151250
928112661643
1010122220200
114324802944
121b65ab23a0
13c54110b11
146c0499a88
153e39a1550
hex25b54d2a8

10122220200 has 96 divisors (see below), whose sum is σ = 31401338400. Its totient is φ = 2697327360.

The previous prime is 10122220187. The next prime is 10122220237. The reversal of 10122220200 is 202222101.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 962571 + ... + 973029.

It is an arithmetic number, because the mean of its divisors is an integer number (327097275).

Almost surely, 210122220200 is an apocalyptic number.

10122220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700669200).

10122220200 is an abundant number, since it is smaller than the sum of its proper divisors (21279118200).

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

10122220200 is a wasteful number, since it uses less digits than its factorization.

10122220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12091 (or 12082 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10122220200 its reverse (202222101), we get a palindrome (10324442301).

The spelling of 10122220200 in words is "ten billion, one hundred twenty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1613 3226 4839 6452 8065 9678 10459 12904 16130 19356 20918 24195 31377 32260 38712 40325 41836 48390 52295 62754 64520 80650 83672 96780 104590 120975 125508 156885 161300 193560 209180 241950 251016 261475 313770 322600 418360 483900 522950 627540 784425 967800 1045900 1255080 1568850 2091800 3137700 6275400 16870367 33740734 50611101 67481468 84351835 101222202 134962936 168703670 202444404 253055505 337407340 404888808 421759175 506111010 674814680 843518350 1012222020 1265277525 1687036700 2024444040 2530555050 3374073400 5061110100 10122220200