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20221001212110 = 235191731015120201
BaseRepresentation
bin1001001100100000100011…
…00110000010000011001110
32122121002221100020022012220
410212100101212002003032
510122300102302241420
6111001222201040210
74154630155232346
oct446202146020316
978532840208186
1020221001212110
116496751029786
122326b70486066
13b38aa855062a
144dc9b75a9d26
15250edbde6840
hex1264119820ce

20221001212110 has 128 divisors (see below), whose sum is σ = 51387526794240. Its totient is φ = 5078183040000.

The previous prime is 20221001212057. The next prime is 20221001212123. The reversal of 20221001212110 is 1121210012202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20221001212110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000980010 + ... + 1001000210.

It is an arithmetic number, because the mean of its divisors is an integer number (401465053080).

Almost surely, 220221001212110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221001212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25693763397120).

20221001212110 is an abundant number, since it is smaller than the sum of its proper divisors (31166525582130).

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

20221001212110 is a wasteful number, since it uses less digits than its factorization.

20221001212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30554.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20221001212110 its reverse (1121210012202), we get a palindrome (21342211224312).

The spelling of 20221001212110 in words is "twenty trillion, two hundred twenty-one billion, one million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 173 190 285 346 519 570 865 1038 1730 2595 3287 5190 6574 9861 10151 16435 19722 20201 20302 30453 32870 40402 49305 50755 60603 60906 98610 101005 101510 121206 152265 192869 202010 303015 304530 383819 385738 578607 606030 767638 964345 1151457 1157214 1756123 1919095 1928690 2302914 2893035 3494773 3512246 3838190 5268369 5757285 5786070 6989546 8780615 10484319 10536738 11514570 17473865 17561230 20968638 26341845 33366337 34947730 52421595 52683690 66400687 66732674 100099011 104843190 132801374 166831685 199202061 200198022 205060351 332003435 333663370 398404122 410120702 500495055 615181053 664006870 996010305 1000990110 1025301755 1230362106 1992020610 2050603510 3075905265 3896146669 6151810530 7792293338 11688440007 19480733345 23376880014 35475440723 38961466690 58442200035 70950881446 106426322169 116884400070 177377203615 212852644338 354754407230 532131610845 674033373737 1064263221690 1348066747474 2022100121211 3370166868685 4044200242422 6740333737370 10110500606055 20221001212110