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10211021020020 = 22351014357386731
BaseRepresentation
bin1001010010010111000001…
…0001111101101101110100
31100011011102121111202121110
42110211300101331231310
52314244132340120040
633414513413515020
72102502422412102
oct224456021755564
940134377452543
1010211021020020
11328751918a727
12118ab6a342a70
13590b83851802
14274304bd2c72
1512a92ac09980
hex9497047db74

10211021020020 has 96 divisors (see below), whose sum is σ = 28880638367616. Its totient is φ = 2695353408000.

The previous prime is 10211021019967. The next prime is 10211021020021. The reversal of 10211021020020 is 2002012011201.

10211021020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10211021019978 and 10211021020005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211021020021) 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, 26210055 + ... + 26596785.

It is an arithmetic number, because the mean of its divisors is an integer number (300839982996).

Almost surely, 210211021020020 is an apocalyptic number.

10211021020020 is a gapful number since it is divisible by the number (10) 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 10211021020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14440319183808).

10211021020020 is an abundant number, since it is smaller than the sum of its proper divisors (18669617347596).

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

10211021020020 is a wasteful number, since it uses less digits than its factorization.

10211021020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391201 (or 391199 counting only the distinct ones).

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

Adding to 10211021020020 its reverse (2002012011201), we get a palindrome (12213033031221).

The spelling of 10211021020020 in words is "ten trillion, two hundred eleven billion, twenty-one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 4357 6060 8714 13071 17428 21785 26142 43570 52284 65355 87140 130710 261420 386731 440057 773462 880114 1160193 1320171 1546924 1760228 1933655 2200285 2320386 2640342 3867310 4400570 4640772 5280684 5800965 6600855 7734620 8801140 11601930 13201710 23203860 26403420 39059831 78119662 117179493 156239324 195299155 234358986 390598310 468717972 585897465 781196620 1171794930 1684986967 2343589860 3369973934 5054960901 6739947868 8424934835 10109921802 16849869670 20219843604 25274804505 33699739340 50549609010 101099218020 170183683667 340367367334 510551051001 680734734668 850918418335 1021102102002 1701836836670 2042204204004 2552755255005 3403673673340 5105510510010 10211021020020