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10213130220 = 2235238398821
BaseRepresentation
bin10011000001011111…
…11111111111101100
3222100202210202211020
421200233333333230
5131404030131340
64405234454140
7511043113566
oct114057777754
928322722736
1010213130220
114371055997
121b90434350
13c69bc1027
146cc5a2336
153eb95c9d0
hex260bfffec

10213130220 has 96 divisors (see below), whose sum is σ = 29879055360. Its totient is φ = 2601688320.

The previous prime is 10213130219. The next prime is 10213130227. The reversal of 10213130220 is 2203131201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10213130220.

It is not an unprimeable number, because it can be changed into a prime (10213130227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153410 + ... + 1162230.

It is an arithmetic number, because the mean of its divisors is an integer number (311240160).

Almost surely, 210213130220 is an apocalyptic number.

10213130220 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 10213130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14939527680).

10213130220 is an abundant number, since it is smaller than the sum of its proper divisors (19665925140).

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

10213130220 is a wasteful number, since it uses less digits than its factorization.

10213130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9695 (or 9693 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10213130220 its reverse (2203131201), we get a palindrome (12416261421).

The spelling of 10213130220 in words is "ten billion, two hundred thirteen million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 839 1380 1678 2517 3356 4195 5034 8390 8821 10068 12585 16780 17642 19297 25170 26463 35284 38594 44105 50340 52926 57891 77188 88210 96485 105852 115782 132315 176420 192970 202883 231564 264630 289455 385940 405766 529260 578910 608649 811532 1014415 1157820 1217298 2028830 2434596 3043245 4057660 6086490 7400819 12172980 14801638 22202457 29603276 37004095 44404914 74008190 88809828 111012285 148016380 170218837 222024570 340437674 444049140 510656511 680875348 851094185 1021313022 1702188370 2042626044 2553282555 3404376740 5106565110 10213130220