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10212020 = 22571331181
BaseRepresentation
bin100110111101…
…001010110100
3201012211020222
4212331022310
510103241040
61002513512
7152541440
oct46751264
921184228
1010212020
115845495
123505898
132167220
1414db820
15d6abb5
hex9bd2b4

10212020 has 96 divisors (see below), whose sum is σ = 27396096. Its totient is φ = 3110400.

The previous prime is 10212011. The next prime is 10212029. The reversal of 10212020 is 2021201.

It is an interprime number because it is at equal distance from previous prime (10212011) and next prime (10212029).

It is a junction number, because it is equal to n+sod(n) for n = 10211989 and 10212007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56330 + ... + 56510.

It is an arithmetic number, because the mean of its divisors is an integer number (285376).

Almost surely, 210212020 is an apocalyptic number.

10212020 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 10212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698048).

10212020 is an abundant number, since it is smaller than the sum of its proper divisors (17184076).

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

10212020 is a wasteful number, since it uses less digits than its factorization.

10212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10212020 is about 3195.6251344612. The cubic root of 10212020 is about 216.9554440011.

Adding to 10212020 its reverse (2021201), we get a palindrome (12233221).

The spelling of 10212020 in words is "ten million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 181 182 217 260 310 362 364 403 434 455 620 724 806 868 905 910 1085 1267 1612 1810 1820 2015 2170 2353 2534 2821 3620 4030 4340 4706 5068 5611 5642 6335 8060 9412 11222 11284 11765 12670 14105 16471 22444 23530 25340 28055 28210 32942 39277 47060 56110 56420 65884 72943 78554 82355 112220 145886 157108 164710 196385 291772 329420 364715 392770 510601 729430 785540 1021202 1458860 2042404 2553005 5106010 10212020