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22113023333000 = 235376949575801
BaseRepresentation
bin1010000011100100101101…
…11001101001001010001000
32220021222120121122120012012
411001302112321221022020
510344244432433124000
6115010325505235052
74441420222013225
oct501622671511210
986258517576165
1022113023333000
117056098205846
12259179a932a88
13c45331508a32
145663c164c94c
152853255ad735
hex141c96e69288

22113023333000 has 128 divisors (see below), whose sum is σ = 51831148168800. Its totient is φ = 8830402560000.

The previous prime is 22113023332921. The next prime is 22113023333041. The reversal of 22113023333000 is 33332031122.

It can be written as a sum of positive squares in 16 ways, for example, as 1373251172164 + 20739772160836 = 1171858^2 + 4554094^2 .

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 31 ways as a sum of consecutive naturals, for example, 3811930100 + ... + 3811935900.

Almost surely, 222113023333000 is an apocalyptic number.

22113023333000 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 22113023333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25915574084400).

22113023333000 is an abundant number, since it is smaller than the sum of its proper divisors (29718124835800).

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

22113023333000 is a wasteful number, since it uses less digits than its factorization.

22113023333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11548 (or 11534 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 22113023333000 its reverse (33332031122), we get a palindrome (22146355364122).

The spelling of 22113023333000 in words is "twenty-two trillion, one hundred thirteen billion, twenty-three million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 769 1000 1538 3076 3845 4957 5801 6152 7690 9914 11602 15380 19225 19828 23204 24785 29005 30760 38450 39656 46408 49570 58010 76900 96125 99140 116020 123925 145025 153800 192250 198280 232040 247850 290050 384500 495700 580100 619625 725125 769000 991400 1160200 1239250 1450250 2478500 2900500 3811933 4460969 4957000 5801000 7623866 8921938 15247732 17843876 19059665 22304845 28755557 30495464 35687752 38119330 44609690 57511114 76238660 89219380 95298325 111524225 115022228 143777785 152477320 178438760 190596650 223048450 230044456 287555570 381193300 446096900 476491625 557621125 575111140 718888925 762386600 892193800 952983250 1115242250 1150222280 1437777850 1905966500 2230484500 2875555700 3594444625 3811933000 4460969000 5751111400 7188889250 14377778500 22113023333 28755557000 44226046666 88452093332 110565116665 176904186664 221130233330 442260466660 552825583325 884520933320 1105651166650 2211302333300 2764127916625 4422604666600 5528255833250 11056511666500 22113023333000