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20123111100 = 22352477120101
BaseRepresentation
bin10010101111011011…
…100100111010111100
31220221102011221221010
4102233123210322330
5312203004023400
613124444035220
71311445423251
oct225733447274
956842157833
1020123111100
118596a76234
123a97232b10
131b89050941
14d8c7b1428
157cb988450
hex4af6e4ebc

20123111100 has 144 divisors (see below), whose sum is σ = 60302140416. Its totient is φ = 5177760000.

The previous prime is 20123111093. The next prime is 20123111117. The reversal of 20123111100 is 111132102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991050 + ... + 1011150.

It is an arithmetic number, because the mean of its divisors is an integer number (418764864).

Almost surely, 220123111100 is an apocalyptic number.

20123111100 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 20123111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30151070208).

20123111100 is an abundant number, since it is smaller than the sum of its proper divisors (40179029316).

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

20123111100 is a wasteful number, since it uses less digits than its factorization.

20123111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20236 (or 20229 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 20123111100 its reverse (111132102), we get a palindrome (20234243202).

The spelling of 20123111100 in words is "twenty billion, one hundred twenty-three million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 71 75 94 100 141 142 150 188 213 235 282 284 300 355 426 470 564 705 710 852 940 1065 1175 1410 1420 1775 2130 2350 2820 3337 3525 3550 4260 4700 5325 6674 7050 7100 10011 10650 13348 14100 16685 20022 20101 21300 33370 40044 40202 50055 60303 66740 80404 83425 100110 100505 120606 166850 200220 201010 241212 250275 301515 333700 402020 500550 502525 603030 944747 1001100 1005050 1206060 1427171 1507575 1889494 2010100 2834241 2854342 3015150 3778988 4281513 4723735 5668482 5708684 6030300 7135855 8563026 9447470 11336964 14171205 14271710 17126052 18894940 21407565 23618675 28342410 28543420 35679275 42815130 47237350 56684820 67077037 70856025 71358550 85630260 94474700 107037825 134154074 141712050 142717100 201231111 214075650 268308148 283424100 335385185 402462222 428151300 670770370 804924444 1006155555 1341540740 1676925925 2012311110 3353851850 4024622220 5030777775 6707703700 10061555550 20123111100