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32122021212020 = 225371491353721521
BaseRepresentation
bin1110100110110111111011…
…01010011110111101110100
311012201211112212222102121002
413103123331222132331310
513202241344412241040
6152152353002142432
76523511426156135
oct723337552367564
9135654485872532
1032122021212020
11a264966611513
123729567ab1a18
1314c012a85100c
147d09dd79dc8c
153aa87a40ea15
hex1d36fda9ef74

32122021212020 has 96 divisors (see below), whose sum is σ = 69752741738400. Its totient is φ = 12416146145280.

The previous prime is 32122021211981. The next prime is 32122021212121. The reversal of 32122021212020 is 2021212022123.

It can be written as a sum of positive squares in 16 ways, for example, as 543623086864 + 31578398125156 = 737308^2 + 5619466^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32122021211983 and 32122021212001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492578860 + ... + 1492600380.

It is an arithmetic number, because the mean of its divisors is an integer number (726591059775).

Almost surely, 232122021212020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32122021212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34876370869200).

32122021212020 is an abundant number, since it is smaller than the sum of its proper divisors (37630720526380).

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

32122021212020 is a wasteful number, since it uses less digits than its factorization.

32122021212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35253 (or 35251 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 32122021212020 its reverse (2021212022123), we get a palindrome (34143233234143).

The spelling of 32122021212020 in words is "thirty-two trillion, one hundred twenty-two billion, twenty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 149 185 298 370 596 740 745 1490 2980 5513 11026 13537 21521 22052 27074 27565 43042 54148 55130 67685 86084 107605 110260 135370 215210 270740 430420 500869 796277 1001738 1592554 2003476 2017013 2504345 3185108 3206629 3981385 4034026 5008690 6413258 7962770 8068052 10017380 10085065 12826516 15925540 16033145 20170130 32066290 40340260 64132580 74629481 118645273 149258962 237290546 291329777 298517924 373147405 474581092 582659554 593226365 746294810 1165319108 1186452730 1456648885 1492589620 2372905460 2913297770 5826595540 10779201749 21558403498 43116806996 43408136773 53896008745 86816273546 107792017490 173632547092 215584034980 217040683865 434081367730 868162735460 1606101060601 3212202121202 6424404242404 8030505303005 16061010606010 32122021212020