Search a number
-
+
1000000222100 = 2252112251403861
BaseRepresentation
bin11101000110101001010…
…10000111001110010100
310112121011201211201010222
432203110222013032110
5112341000024101400
62043221015133512
7132150636432365
oct16432452071624
93477151751128
101000000222100
11356109067850
12141982074298
13733b8345969
14365864a3b6c
151b02b7ac185
hexe8d4a87394

1000000222100 has 72 divisors (see below), whose sum is σ = 2368330771296. Its totient is φ = 363474000000.

The previous prime is 1000000222097. The next prime is 1000000222129. The reversal of 1000000222100 is 12220000001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2274170 + ... + 2678030.

Almost surely, 21000000222100 is an apocalyptic number.

1000000222100 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 1000000222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184165385648).

1000000222100 is an abundant number, since it is smaller than the sum of its proper divisors (1368330549196).

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

1000000222100 is a wasteful number, since it uses less digits than its factorization.

1000000222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406137 (or 406130 counting only the distinct ones).

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

Adding to 1000000222100 its reverse (12220000001), we get a palindrome (1012220222101).

The spelling of 1000000222100 in words is "one trillion, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 2251 4502 9004 11255 22510 24761 45020 49522 56275 99044 112550 123805 225100 247610 403861 495220 619025 807722 1238050 1615444 2019305 2476100 4038610 4442471 8077220 8884942 10096525 17769884 20193050 22212355 40386100 44424710 88849420 111061775 222123550 444247100 909091111 1818182222 3636364444 4545455555 9090911110 10000002221 18181822220 20000004442 22727277775 40000008884 45454555550 50000011105 90909111100 100000022210 200000044420 250000055525 500000111050 1000000222100