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1020002112200 = 235247108510863
BaseRepresentation
bin11101101011111001101…
…11010001001011001000
310121111210200221000010102
432311330313101023020
5113202431020042300
62100325453104532
7133456413620651
oct16657467211310
93544720830112
101020002112200
11363642667935
12145824788148
13752552329a6
1437522b1c528
151b7ec79d0d5
hexed7cdd12c8

1020002112200 has 48 divisors (see below), whose sum is σ = 2421962484480. Its totient is φ = 399319972160.

The previous prime is 1020002112191. The next prime is 1020002112209. The reversal of 1020002112200 is 22112000201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020002112191) and next prime (1020002112209).

It is a super-2 number, since 2×10200021122002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020002112209) 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, 54246032 + ... + 54264831.

It is an arithmetic number, because the mean of its divisors is an integer number (50457551760).

Almost surely, 21020002112200 is an apocalyptic number.

1020002112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020002112200 is an abundant number, since it is smaller than the sum of its proper divisors (1401960372280).

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

1020002112200 is a wasteful number, since it uses less digits than its factorization.

1020002112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108510926 (or 108510917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020002112200 its reverse (22112000201), we get a palindrome (1042114112401).

The spelling of 1020002112200 in words is "one trillion, twenty billion, two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 9400 108510863 217021726 434043452 542554315 868086904 1085108630 2170217260 2712771575 4340434520 5100010561 5425543150 10200021122 10851086300 20400042244 21702172600 25500052805 40800084488 51000105610 102000211220 127500264025 204000422440 255000528050 510001056100 1020002112200