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20103222000 = 2435315721341
BaseRepresentation
bin10010101110001111…
…101101001011110000
31220220000202111012210
4102232033231023300
5312132411101000
613122453452120
71311114365451
oct225617551360
956800674183
1020103222000
118586821264
123a90641040
131b84ba8b44
14d89cb5128
157c9d5a350
hex4ae3ed2f0

20103222000 has 160 divisors (see below), whose sum is σ = 65228664384. Its totient is φ = 5326464000.

The previous prime is 20103221981. The next prime is 20103222017. The reversal of 20103222000 is 22230102.

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 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, 931330 + ... + 952670.

Almost surely, 220103222000 is an apocalyptic number.

20103222000 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 20103222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32614332192).

20103222000 is an abundant number, since it is smaller than the sum of its proper divisors (45125442384).

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

20103222000 is a wasteful number, since it uses less digits than its factorization.

20103222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21524 (or 21508 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20103222000 its reverse (22230102), we get a palindrome (20125452102).

The spelling of 20103222000 in words is "twenty billion, one hundred three million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 157 200 240 250 300 314 375 400 471 500 600 628 750 785 942 1000 1200 1256 1500 1570 1884 2000 2355 2512 3000 3140 3768 3925 4710 6000 6280 7536 7850 9420 11775 12560 15700 18840 19625 21341 23550 31400 37680 39250 42682 47100 58875 62800 64023 78500 85364 94200 106705 117750 128046 157000 170728 188400 213410 235500 256092 314000 320115 341456 426820 471000 512184 533525 640230 853640 942000 1024368 1067050 1280460 1600575 1707280 2134100 2560920 2667625 3201150 3350537 4268200 5121840 5335250 6402300 6701074 8002875 8536400 10051611 10670500 12804600 13402148 16005750 16752685 20103222 21341000 25609200 26804296 32011500 33505370 40206444 42682000 50258055 53608592 64023000 67010740 80412888 83763425 100516110 128046000 134021480 160825776 167526850 201032220 251290275 268042960 335053700 402064440 418817125 502580550 670107400 804128880 837634250 1005161100 1256451375 1340214800 1675268500 2010322200 2512902750 3350537000 4020644400 5025805500 6701074000 10051611000 20103222000