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10213223310 = 2335359105367
BaseRepresentation
bin10011000001100000…
…10110101110001110
3222100202222111112000
421200300112232032
5131404041121220
64405240453130
7511043652153
oct114060265616
928322874460
1010213223310
114371109924
121b9047a1a6
13c69c24504
146cc5c822a
153eb97a390
hex260c16b8e

10213223310 has 64 divisors (see below), whose sum is σ = 27311385600. Its totient is φ = 2715914016.

The previous prime is 10213223269. The next prime is 10213223333. The reversal of 10213223310 is 1332231201.

10213223310 is a `hidden beast` number, since 10 + 2 + 1 + 322 + 331 + 0 = 666.

It is a super-2 number, since 2×102132233102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 44247 + ... + 149613.

It is an arithmetic number, because the mean of its divisors is an integer number (426740400).

Almost surely, 210213223310 is an apocalyptic number.

10213223310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213223310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655692800).

10213223310 is an abundant number, since it is smaller than the sum of its proper divisors (17098162290).

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

10213223310 is a wasteful number, since it uses less digits than its factorization.

10213223310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105742 (or 105736 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10213223310 its reverse (1332231201), we get a palindrome (11545454511).

The spelling of 10213223310 in words is "ten billion, two hundred thirteen million, two hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 359 718 1077 1795 2154 3231 3590 5385 6462 9693 10770 16155 19386 32310 48465 96930 105367 210734 316101 526835 632202 948303 1053670 1580505 1896606 2844909 3161010 4741515 5689818 9483030 14224545 28449090 37826753 75653506 113480259 189133765 226960518 340440777 378267530 567401295 680881554 1021322331 1134802590 1702203885 2042644662 3404407770 5106611655 10213223310