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10210210002 = 2332312296689
BaseRepresentation
bin10011000001001001…
…10111000011010010
3222100120022102001000
421200210313003102
5131402303210002
64405052122430
7511006232046
oct114044670322
928316272030
1010210210002
11436a440993
121b8b466416
13c6940aaa5
146cc042026
153eb58261c
hex2609370d2

10210210002 has 64 divisors (see below), whose sum is σ = 23698656000. Its totient is φ = 3252294144.

The previous prime is 10210210001. The next prime is 10210210037. The reversal of 10210210002 is 20001201201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10210210001) 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, 1523074 + ... + 1529762.

It is an arithmetic number, because the mean of its divisors is an integer number (370291500).

Almost surely, 210210210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11849328000).

10210210002 is an abundant number, since it is smaller than the sum of its proper divisors (13488445998).

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

10210210002 is a wasteful number, since it uses less digits than its factorization.

10210210002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7952 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10210210002 its reverse (20001201201), we get a palindrome (30211411203).

The spelling of 10210210002 in words is "ten billion, two hundred ten million, two hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1229 1242 2458 3687 6689 7374 11061 13378 20067 22122 28267 33183 40134 56534 60201 66366 84801 120402 153847 169602 180603 254403 307694 361206 461541 508806 763209 923082 1384623 1526418 2769246 4153869 8220781 8307738 16441562 24662343 49324686 73987029 147974058 189077963 221961087 378155926 443922174 567233889 1134467778 1701701667 3403403334 5105105001 10210210002