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20212011121000 = 2353194125946099
BaseRepresentation
bin1001001100001111110011…
…01111100011100101101000
32122120020201210210100122111
410212013321233203211220
510122123144321333000
6110553134132132104
74154161322561236
oct446077157434550
978506653710574
1020212011121000
116492958396216
122325281767034
13b37ca4b5c5aa
144dc3a3613956
15250b62a25cba
hex1261f9be3968

20212011121000 has 128 divisors (see below), whose sum is σ = 50999654160000. Its totient is φ = 7472476224000.

The previous prime is 20212011120997. The next prime is 20212011121007. The reversal of 20212011121000 is 12111021202.

It is not an unprimeable number, because it can be changed into a prime (20212011121007) 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, 12194050 + ... + 13752049.

It is an arithmetic number, because the mean of its divisors is an integer number (398434798125).

Almost surely, 220212011121000 is an apocalyptic number.

20212011121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212011121000 is an abundant number, since it is smaller than the sum of its proper divisors (30787643039000).

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

20212011121000 is a wasteful number, since it uses less digits than its factorization.

20212011121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25946180 (or 25946166 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20212011121000 its reverse (12111021202), we get a palindrome (20224122142202).

The spelling of 20212011121000 in words is "twenty trillion, two hundred twelve billion, eleven million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 41 50 76 82 95 100 125 152 164 190 200 205 250 328 380 410 475 500 760 779 820 950 1000 1025 1558 1640 1900 2050 2375 3116 3800 3895 4100 4750 5125 6232 7790 8200 9500 10250 15580 19000 19475 20500 31160 38950 41000 77900 97375 155800 194750 389500 779000 25946099 51892198 103784396 129730495 207568792 259460990 492975881 518921980 648652475 985951762 1037843960 1063790059 1297304950 1971903524 2127580118 2464879405 2594609900 3243262375 3943807048 4255160236 4929758810 5189219800 5318950295 6486524750 8510320472 9859517620 10637900590 12324397025 12973049500 19719035240 20212011121 21275801180 24648794050 25946099000 26594751475 40424022242 42551602360 49297588100 53189502950 61621985125 80848044484 98595176200 101060055605 106379005900 123243970250 132973757375 161696088968 202120111210 212758011800 246487940500 265947514750 404240222420 492975881000 505300278025 531895029500 808480444840 1010600556050 1063790059000 2021201112100 2526501390125 4042402224200 5053002780250 10106005560500 20212011121000