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20212110000 = 243254224579
BaseRepresentation
bin10010110100101111…
…000101001010110000
31221011121122120110200
4102310233011022300
5312343300010000
613141343355200
71313606046255
oct226457051260
957147576420
1020212110000
118632233445
123b00bb2b00
131ba1612004
14d9a53b42c
157d46b8500
hex4b4bc52b0

20212110000 has 150 divisors (see below), whose sum is σ = 70684982940. Its totient is φ = 5389872000.

The previous prime is 20212109969. The next prime is 20212110041. The reversal of 20212110000 is 1121202.

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 an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22290 + ... + 202289.

Almost surely, 220212110000 is an apocalyptic number.

20212110000 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 20212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35342491470).

20212110000 is an abundant number, since it is smaller than the sum of its proper divisors (50472872940).

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

20212110000 is a wasteful number, since it uses less digits than its factorization.

20212110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224613 (or 224589 counting only the distinct ones).

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

Adding to 20212110000 its reverse (1121202), we get a palindrome (20213231202).

The spelling of 20212110000 in words is "twenty billion, two hundred twelve million, one 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 224579 449158 673737 898316 1122895 1347474 1796632 2021211 2245790 2694948 3368685 3593264 4042422 4491580 5389896 5614475 6737370 8084844 8983160 10106055 10779792 11228950 13474740 16169688 16843425 17966320 20212110 22457900 26949480 28072375 32339376 33686850 40424220 44915800 50530275 53898960 56144750 67373700 80848440 84217125 89831600 101060550 112289500 134747400 140361875 161696880 168434250 202121100 224579000 252651375 269494800 280723750 336868500 404242200 421085625 449158000 505302750 561447500 673737000 808484400 842171250 1010605500 1122895000 1263256875 1347474000 1684342500 2021211000 2245790000 2526513750 3368685000 4042422000 5053027500 6737370000 10106055000 20212110000