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1000222100200 = 235223255185237
BaseRepresentation
bin11101000111000011110…
…00100000101011101000
310112121202012100021200101
432203201320200223220
5112341423324201300
62043255022515144
7132156302400331
oct16434170405350
93477665307611
101000222100200
11356212333084
12141a24435ab4
13734222c018b
14365a7b3d288
151b040ed8b6a
hexe8e1e20ae8

1000222100200 has 96 divisors (see below), whose sum is σ = 2427605516160. Its totient is φ = 382539168000.

The previous prime is 1000222100183. The next prime is 1000222100233. The reversal of 1000222100200 is 20012220001.

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

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, 11691982 + ... + 11777218.

It is an arithmetic number, because the mean of its divisors is an integer number (25287557460).

Almost surely, 21000222100200 is an apocalyptic number.

1000222100200 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 1000222100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213802758080).

1000222100200 is an abundant number, since it is smaller than the sum of its proper divisors (1427383415960).

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

1000222100200 is a wasteful number, since it uses less digits than its factorization.

1000222100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87827 (or 87818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1000222100200 its reverse (20012220001), we get a palindrome (1020234320201).

The spelling of 1000222100200 in words is "one trillion, two hundred twenty-two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 2551 4600 5102 10204 12755 20408 25510 51020 58673 63775 85237 102040 117346 127550 170474 234692 255100 293365 340948 426185 469384 510200 586730 681896 852370 1173460 1466825 1704740 1960451 2130925 2346920 2933650 3409480 3920902 4261850 5867300 7841804 8523700 9802255 11734600 15683608 17047400 19604510 39209020 49011275 78418040 98022550 196045100 217439587 392090200 434879174 869758348 1087197935 1739516696 2174395870 4348791740 5001110501 5435989675 8697583480 10002221002 10871979350 20004442004 21743958700 25005552505 40008884008 43487917400 50011105010 100022210020 125027762525 200044420040 250055525050 500111050100 1000222100200