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1000021100200 = 235217294123853
BaseRepresentation
bin11101000110101011110…
…01110000011010101000
310112121020012010102111221
432203111321300122220
5112341020400201300
62043223042431424
7132151312046443
oct16432571603250
93477205112457
101000021100200
11356119927881
12141989062574
13733bc775975
143658917a65a
151b02d53331a
hexe8d5e706a8

1000021100200 has 48 divisors (see below), whose sum is σ = 2461816657980. Its totient is φ = 376478530560.

The previous prime is 1000021100191. The next prime is 1000021100201. The reversal of 1000021100200 is 20011200001.

1000021100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 585344346084 + 414676754116 = 765078^2 + 643954^2 .

It is not an unprimeable number, because it can be changed into a prime (1000021100201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147058527 + ... + 147065326.

Almost surely, 21000021100200 is an apocalyptic number.

1000021100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000021100200 is an abundant number, since it is smaller than the sum of its proper divisors (1461795557780).

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

1000021100200 is a wasteful number, since it uses less digits than its factorization.

1000021100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294123886 (or 294123877 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1000021100200 its reverse (20011200001), we get a palindrome (1020032300201).

The spelling of 1000021100200 in words is "one trillion, twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 294123853 588247706 1176495412 1470619265 2352990824 2941238530 5000105501 5882477060 7353096325 10000211002 11764954120 14706192650 20000422004 25000527505 29412385300 40000844008 50001055010 58824770600 100002110020 125002637525 200004220040 250005275050 500010550100 1000021100200