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10213323340 = 225111072711601
BaseRepresentation
bin10011000001100001…
…01111001001001100
3222100210011120201211
421200300233021030
5131404102321330
64405242544204
7511044546613
oct114060571114
928323146654
1010213323340
114371177aa0
121b90508064
13c69c5abbc
146cc61287a
153eb999d2a
hex260c2f24c

10213323340 has 96 divisors (see below), whose sum is σ = 23718417408. Its totient is φ = 3663360000.

The previous prime is 10213323331. The next prime is 10213323343. The reversal of 10213323340 is 4332331201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10213323343) 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, 6378540 + ... + 6380140.

It is an arithmetic number, because the mean of its divisors is an integer number (247066848).

Almost surely, 210213323340 is an apocalyptic number.

10213323340 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 10213323340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11859208704).

10213323340 is an abundant number, since it is smaller than the sum of its proper divisors (13505094068).

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

10213323340 is a wasteful number, since it uses less digits than its factorization.

10213323340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10213323340 its reverse (4332331201), we get a palindrome (14545654541).

The spelling of 10213323340 in words is "ten billion, two hundred thirteen million, three hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 271 428 535 542 1070 1084 1177 1355 1601 2140 2354 2710 2981 3202 4708 5420 5885 5962 6404 8005 11770 11924 14905 16010 17611 23540 28997 29810 32020 35222 57994 59620 70444 88055 115988 144985 171307 176110 289970 318967 342614 352220 433871 579940 637934 685228 856535 867742 1275868 1594835 1713070 1735484 1884377 2169355 3189670 3426140 3768754 4338710 4772581 6379340 7537508 8677420 9421885 9545162 18843770 19090324 23862905 37687540 46424197 47725810 92848394 95451620 185696788 232120985 464241970 510666167 928483940 1021332334 2042664668 2553330835 5106661670 10213323340