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22113123000 = 2335317941179
BaseRepresentation
bin10100100110000010…
…110111101010111000
32010002002202001001120
4110212002313222320
5330241424414000
614054132545240
71411661305233
oct244602675270
963062661046
1022113123000
119418310671
124351782220
13211540b987
1410dabca41a
158965266a0
hex5260b7ab8

22113123000 has 128 divisors (see below), whose sum is σ = 69380064000. Its totient is φ = 5863747200.

The previous prime is 22113122923. The next prime is 22113123017. The reversal of 22113123000 is 32131122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516411 + ... + 557589.

It is an arithmetic number, because the mean of its divisors is an integer number (542031750).

Almost surely, 222113123000 is an apocalyptic number.

22113123000 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 22113123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34690032000).

22113123000 is an abundant number, since it is smaller than the sum of its proper divisors (47266941000).

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

22113123000 is a wasteful number, since it uses less digits than its factorization.

22113123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41382 (or 41368 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22113123000 its reverse (32131122), we get a palindrome (22145254122).

The spelling of 22113123000 in words is "twenty-two billion, one hundred thirteen million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 179 200 250 300 358 375 500 537 600 716 750 895 1000 1074 1432 1500 1790 2148 2685 3000 3580 4296 4475 5370 7160 8950 10740 13425 17900 21480 22375 26850 35800 41179 44750 53700 67125 82358 89500 107400 123537 134250 164716 179000 205895 247074 268500 329432 411790 494148 537000 617685 823580 988296 1029475 1235370 1647160 2058950 2470740 3088425 4117900 4941480 5147375 6176850 7371041 8235800 10294750 12353700 14742082 15442125 20589500 22113123 24707400 29484164 30884250 36855205 41179000 44226246 58968328 61768500 73710410 88452492 110565615 123537000 147420820 176904984 184276025 221131230 294841640 368552050 442262460 552828075 737104100 884524920 921380125 1105656150 1474208200 1842760250 2211312300 2764140375 3685520500 4422624600 5528280750 7371041000 11056561500 22113123000