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20011120221000 = 2335318233659009
BaseRepresentation
bin1001000110011001100111…
…01101100101101101001000
32121212001012101010021002210
410203030303231211231020
510110330233234033000
6110320552015025120
74133520133236156
oct443146355455510
977761171107083
1020011120221000
116415739748727
1222b235780b1a0
13b2206b0b1a6c
144d27870a43d6
1524a806271350
hex123333b65b48

20011120221000 has 128 divisors (see below), whose sum is σ = 62468960486400. Its totient is φ = 5333370060800.

The previous prime is 20011120220989. The next prime is 20011120221007. The reversal of 20011120221000 is 12202111002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20011120221007) 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, 3639496 + ... + 7298504.

It is an arithmetic number, because the mean of its divisors is an integer number (488038753800).

Almost surely, 220011120221000 is an apocalyptic number.

20011120221000 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 20011120221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31234480243200).

20011120221000 is an abundant number, since it is smaller than the sum of its proper divisors (42457840265400).

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

20011120221000 is a wasteful number, since it uses less digits than its factorization.

20011120221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660856 (or 3660842 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20011120221000 its reverse (12202111002), we get a palindrome (20023322332002).

The spelling of 20011120221000 in words is "twenty trillion, eleven billion, one hundred twenty million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1823 3000 3646 5469 7292 9115 10938 14584 18230 21876 27345 36460 43752 45575 54690 72920 91150 109380 136725 182300 218760 227875 273450 364600 455750 546900 683625 911500 1093800 1367250 1823000 2734500 3659009 5469000 7318018 10977027 14636036 18295045 21954054 29272072 36590090 43908108 54885135 73180180 87816216 91475225 109770270 146360360 182950450 219540540 274425675 365900900 439081080 457376125 548851350 731801800 914752250 1097702700 1372128375 1829504500 2195405400 2744256750 3659009000 5488513500 6670373407 10977027000 13340746814 20011120221 26681493628 33351867035 40022240442 53362987256 66703734070 80044480884 100055601105 133407468140 160088961768 166759335175 200111202210 266814936280 333518670350 400222404420 500278005525 667037340700 800444808840 833796675875 1000556011050 1334074681400 1667593351750 2001112022100 2501390027625 3335186703500 4002224044200 5002780055250 6670373407000 10005560110500 20011120221000