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10221132020 = 22511178930707
BaseRepresentation
bin10011000010011101…
…00001100011110100
3222101022212022020012
421201032201203310
5131413102211040
64410122155352
7511201121501
oct114116414364
928338768205
1010221132020
114375620850
121b93052b58
13c6b763218
146cd6864a8
153ec4dd865
hex2613a18f4

10221132020 has 96 divisors (see below), whose sum is σ = 25072467840. Its totient is φ = 3458723840.

The previous prime is 10221132017. The next prime is 10221132029. The reversal of 10221132020 is 2023112201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10221131986 and 10221132004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221132029) 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, 317507 + ... + 348213.

It is an arithmetic number, because the mean of its divisors is an integer number (261171540).

Almost surely, 210221132020 is an apocalyptic number.

10221132020 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 10221132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12536233920).

10221132020 is an abundant number, since it is smaller than the sum of its proper divisors (14851335820).

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

10221132020 is a wasteful number, since it uses less digits than its factorization.

10221132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30833 (or 30831 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10221132020 its reverse (2023112201), we get a palindrome (12244244221).

It can be divided in two parts, 10221 and 132020, that added together give a palindrome (142241).

The spelling of 10221132020 in words is "ten billion, two hundred twenty-one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 89 110 170 178 187 220 340 356 374 445 748 890 935 979 1513 1780 1870 1958 3026 3740 3916 4895 6052 7565 9790 15130 16643 19580 30260 30707 33286 61414 66572 83215 122828 153535 166430 307070 332860 337777 522019 614140 675554 1044038 1351108 1688885 2088076 2610095 2732923 3377770 5220190 5465846 5742209 6755540 10440380 10931692 11484418 13664615 22968836 27329230 28711045 30062153 46459691 54658460 57422090 60124306 92919382 114844180 120248612 150310765 185838764 232298455 300621530 464596910 511056601 601243060 929193820 1022113202 2044226404 2555283005 5110566010 10221132020