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10213102020 = 22351116279511
BaseRepresentation
bin10011000001011111…
…11001000111000100
3222100202202100010210
421200233321013010
5131404023231040
64405234115420
7511042635432
oct114057710704
928322670123
1010213102020
114371036790
121b9041bb70
13c69bb1244
146cc595d52
153eb954480
hex260bf91c4

10213102020 has 96 divisors (see below), whose sum is σ = 31218840576. Its totient is φ = 2474121600.

The previous prime is 10213101979. The next prime is 10213102033. The reversal of 10213102020 is 2020131201.

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 = 10213101987 and 10213102005.

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, 1069065 + ... + 1078575.

It is an arithmetic number, because the mean of its divisors is an integer number (325196256).

Almost surely, 210213102020 is an apocalyptic number.

10213102020 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 10213102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15609420288).

10213102020 is an abundant number, since it is smaller than the sum of its proper divisors (21005738556).

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

10213102020 is a wasteful number, since it uses less digits than its factorization.

10213102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11161 (or 11159 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10213102020 its reverse (2020131201), we get a palindrome (12233233221).

The spelling of 10213102020 in words is "ten billion, two hundred thirteen million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1627 3254 4881 6508 8135 9511 9762 16270 17897 19022 19524 24405 28533 32540 35794 38044 47555 48810 53691 57066 71588 89485 95110 97620 104621 107382 114132 142665 178970 190220 209242 214764 268455 285330 313863 357940 418484 523105 536910 570660 627726 1046210 1073820 1255452 1569315 2092420 3138630 6277260 15474397 30948794 46423191 61897588 77371985 92846382 154743970 170218367 185692764 232115955 309487940 340436734 464231910 510655101 680873468 851091835 928463820 1021310202 1702183670 2042620404 2553275505 3404367340 5106551010 10213102020