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20112210000 = 243254223469
BaseRepresentation
bin10010101110110001…
…111111100001010000
31220220122200010102200
4102232301333201100
5312142211210000
613123414243200
71311253651521
oct225661774120
956818603380
1020112210000
118590900063
123a93656500
131b86a04b9c
14d8b174848
157caa33500
hex4aec7f850

20112210000 has 150 divisors (see below), whose sum is σ = 70335618210. Its totient is φ = 5363232000.

The previous prime is 20112209983. The next prime is 20112210037. The reversal of 20112210000 is 1221102.

It can be written as a sum of positive squares in 5 ways, for example, as 10187268624 + 9924941376 = 100932^2 + 99624^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21735 + ... + 201734.

Almost surely, 220112210000 is an apocalyptic number.

20112210000 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 20112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35167809105).

20112210000 is an abundant number, since it is smaller than the sum of its proper divisors (50223408210).

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

20112210000 is a wasteful number, since it uses less digits than its factorization.

20112210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223503 (or 223479 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20112210000 its reverse (1221102), we get a palindrome (20113431102).

The spelling of 20112210000 in words is "twenty billion, one hundred twelve million, two hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 223469 446938 670407 893876 1117345 1340814 1787752 2011221 2234690 2681628 3352035 3575504 4022442 4469380 5363256 5586725 6704070 8044884 8938760 10056105 10726512 11173450 13408140 16089768 16760175 17877520 20112210 22346900 26816280 27933625 32179536 33520350 40224420 44693800 50280525 53632560 55867250 67040700 80448840 83800875 89387600 100561050 111734500 134081400 139668125 160897680 167601750 201122100 223469000 251402625 268162800 279336250 335203500 402244200 419004375 446938000 502805250 558672500 670407000 804488400 838008750 1005610500 1117345000 1257013125 1340814000 1676017500 2011221000 2234690000 2514026250 3352035000 4022442000 5028052500 6704070000 10056105000 20112210000