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20212210202000 = 245371990715497
BaseRepresentation
bin1001001100010000001011…
…00110111111010110010000
32122120021020200101201102212
410212020011212333112100
510122124101302431000
6110553210003131252
74154166261000305
oct446100546772620
978507220351385
1020212210202000
116492a4a800773
122325318373b28
13b380071844bb
144dc3c1c370ac
15250b7524cc35
hex1262059bf590

20212210202000 has 160 divisors (see below), whose sum is σ = 48998218913280. Its totient is φ = 8064217574400.

The previous prime is 20212210201951. The next prime is 20212210202003. The reversal of 20212210202000 is 20201221202.

It is not an unprimeable number, because it can be changed into a prime (20212210202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1304258252 + ... + 1304273748.

It is an arithmetic number, because the mean of its divisors is an integer number (306238868208).

Almost surely, 220212210202000 is an apocalyptic number.

20212210202000 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 20212210202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24499109456640).

20212210202000 is an abundant number, since it is smaller than the sum of its proper divisors (28786008711280).

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

20212210202000 is a wasteful number, since it uses less digits than its factorization.

20212210202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17146 (or 17130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20212210202000 its reverse (20201221202), we get a palindrome (20232411423202).

The spelling of 20212210202000 in words is "twenty trillion, two hundred twelve billion, two hundred ten million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 719 907 1000 1438 1814 2000 2876 3595 3628 4535 5752 7190 7256 9070 11504 14380 14512 15497 17975 18140 22675 28760 30994 35950 36280 45350 57520 61988 71900 72560 77485 89875 90700 113375 123976 143800 154970 179750 181400 226750 247952 287600 309940 359500 362800 387425 453500 619880 652133 719000 774850 907000 1239760 1304266 1438000 1549700 1814000 1937125 2608532 3099400 3260665 3874250 5217064 6198800 6521330 7748500 10434128 11142343 13042660 14055779 15497000 16303325 22284686 26085320 28111558 30994000 32606650 44569372 52170640 55711715 56223116 65213300 70278895 81516625 89138744 111423430 112446232 130426600 140557790 163033250 178277488 222846860 224892464 260853200 278558575 281115580 326066500 351394475 445693720 557117150 562231160 652133000 702788950 891387440 1114234300 1124462320 1304266000 1392792875 1405577900 1756972375 2228468600 2785585750 2811155800 3513944750 4456937200 5571171500 5622311600 7027889500 10106105101 11142343000 14055779000 20212210202 22284686000 28111558000 40424420404 50530525505 80848840808 101061051010 161697681616 202122102020 252652627525 404244204040 505305255050 808488408080 1010610510100 1263263137625 2021221020200 2526526275250 4042442040400 5053052550500 10106105101000 20212210202000