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22001011100 = 22522367142771
BaseRepresentation
bin10100011111010111…
…001100100110011100
32002210021210011102222
4110133113030212130
5330024224323400
614035050004512
71406130336335
oct243727144634
962707704388
1022001011100
11936aaa7302
124320116738
1320c8117283
1410c9d6528c
1588b77d185
hex51f5cc99c

22001011100 has 72 divisors (see below), whose sum is σ = 50561847168. Its totient is φ = 8292081600.

The previous prime is 22001011099. The next prime is 22001011117. The reversal of 22001011100 is 111010022.

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, 82715 + ... + 225485.

Almost surely, 222001011100 is an apocalyptic number.

22001011100 is a gapful number since it is divisible by the number (20) 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 22001011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25280923584).

22001011100 is an abundant number, since it is smaller than the sum of its proper divisors (28560836068).

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

22001011100 is a wasteful number, since it uses less digits than its factorization.

22001011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142875 (or 142868 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22001011100 its reverse (111010022), we get a palindrome (22112021122).

The spelling of 22001011100 in words is "twenty-two billion, one million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 67 92 100 115 134 230 268 335 460 575 670 1150 1340 1541 1675 2300 3082 3350 6164 6700 7705 15410 30820 38525 77050 142771 154100 285542 571084 713855 1427710 2855420 3283733 3569275 6567466 7138550 9565657 13134932 14277100 16418665 19131314 32837330 38262628 47828285 65674660 82093325 95656570 164186650 191313140 220010111 239141425 328373300 440020222 478282850 880040444 956565700 1100050555 2200101110 4400202220 5500252775 11000505550 22001011100