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1000222011100 = 2252131541349919
BaseRepresentation
bin11101000111000011110…
…00001010111011011100
310112121202012011202110101
432203201320022323130
5112341423313323400
62043255020550444
7132156301546504
oct16434170127334
93477665152411
101000222011100
11356212282144
12141a243b2424
137342228b760
14365a7b18a04
151b040ebc56a
hexe8e1e0aedc

1000222011100 has 72 divisors (see below), whose sum is σ = 2337640381440. Its totient is φ = 369281383680.

The previous prime is 1000222011073. The next prime is 1000222011197. The reversal of 1000222011100 is 11102220001.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 20011941 + ... + 20061859.

It is an arithmetic number, because the mean of its divisors is an integer number (32467227520).

Almost surely, 21000222011100 is an apocalyptic number.

1000222011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000222011100 is an abundant number, since it is smaller than the sum of its proper divisors (1337418370340).

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

1000222011100 is a wasteful number, since it uses less digits than its factorization.

1000222011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65359 (or 65352 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000222011100 its reverse (11102220001), we get a palindrome (1011324231101).

The spelling of 1000222011100 in words is "one trillion, two hundred twenty-two million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 15413 30826 49919 61652 77065 99838 154130 199676 200369 249595 308260 385325 400738 499190 648947 770650 801476 998380 1001845 1247975 1297894 1541300 2003690 2495950 2595788 3244735 4007380 4991900 5009225 6489470 10018450 12978940 16223675 20036900 32447350 64894700 769401547 1538803094 3077606188 3847007735 7694015470 10002220111 15388030940 19235038675 20004440222 38470077350 40008880444 50011100555 76940154700 100022201110 200044402220 250055502775 500111005550 1000222011100