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20220011021000 = 2353717169916059
BaseRepresentation
bin1001001100011110101101…
…00100110000001011001000
32122121000101100000101101002
410212033112210300023020
510122241040310133000
6111000540025514132
74154563502603660
oct446172644601310
978530340011332
1020220011021000
1164962930a551a
122326934942948
13b3897b36902b
144dc921c931a0
15250e800018d5
hex1263d69302c8

20220011021000 has 128 divisors (see below), whose sum is σ = 57254915577600. Its totient is φ = 6524776627200.

The previous prime is 20220011020943. The next prime is 20220011021123. The reversal of 20220011021000 is 12011002202.

It is a happy number.

It is a super-2 number, since 2×202200110210002 (a number of 27 digits) contains 22 as substring.

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, 84839030 + ... + 85077029.

It is an arithmetic number, because the mean of its divisors is an integer number (447304027950).

Almost surely, 220220011021000 is an apocalyptic number.

20220011021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220011021000 is an abundant number, since it is smaller than the sum of its proper divisors (37034904556600).

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

20220011021000 is a wasteful number, since it uses less digits than its factorization.

20220011021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169916104 (or 169916090 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20220011021000 its reverse (12011002202), we get a palindrome (20232022023202).

The spelling of 20220011021000 in words is "twenty trillion, two hundred twenty billion, eleven million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 340 350 425 476 500 595 680 700 850 875 952 1000 1190 1400 1700 1750 2125 2380 2975 3400 3500 4250 4760 5950 7000 8500 11900 14875 17000 23800 29750 59500 119000 169916059 339832118 679664236 849580295 1189412413 1359328472 1699160590 2378824826 2888573003 3398321180 4247901475 4757649652 5777146006 5947062065 6796642360 8495802950 9515299304 11554292012 11894124130 14442865015 16991605900 20220011021 21239507375 23108584024 23788248260 28885730030 29735310325 33983211800 40440022042 42479014750 47576496520 57771460060 59470620650 72214325075 80880044084 84958029500 101100055105 115542920120 118941241300 144428650150 148676551625 161760088168 169916059000 202200110210 237882482600 288857300300 297353103250 361071625375 404400220420 505500275525 577714600600 594706206500 722143250750 808800440840 1011000551050 1189412413000 1444286501500 2022001102100 2527501377625 2888573003000 4044002204200 5055002755250 10110005510500 20220011021000