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210210010012340 = 225131872374318057
BaseRepresentation
bin101111110010111101010100…
…111110011001101010110100
31000120021212210000202022100222
4233302331110332121222310
5210023040100030343330
62023025051225553512
762164113003431432
oct5762752476315264
91016255700668328
10210210010012340
1160a85623540a38
121b6b0137045898
13903a94651b0a0
1439ca30c441d52
1519480a11410e5
hexbf2f54f99ab4

210210010012340 has 48 divisors (see below), whose sum is σ = 475400671756752. Its totient is φ = 77615571188736.

The previous prime is 210210010012279. The next prime is 210210010012363. The reversal of 210210010012340 is 43210010012012.

It can be written as a sum of positive squares in 8 ways, for example, as 1155078964516 + 209054931047824 = 1074746^2 + 14458732^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46522592 + ... + 50840648.

It is an arithmetic number, because the mean of its divisors is an integer number (9904180661599).

Almost surely, 2210210010012340 is an apocalyptic number.

210210010012340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210210010012340 is an abundant number, since it is smaller than the sum of its proper divisors (265190661744412).

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

210210010012340 is a wasteful number, since it uses less digits than its factorization.

210210010012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505316 (or 4505314 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 210210010012340 its reverse (43210010012012), we get a palindrome (253420020024352).

The spelling of 210210010012340 in words is "two hundred ten trillion, two hundred ten billion, ten million, twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 187237 374474 748948 936185 1872370 2434081 3744740 4318057 4868162 8636114 9736324 12170405 17272228 21590285 24340810 43180570 48681620 56134741 86361140 112269482 224538964 280673705 561347410 1122694820 808500038509 1617000077018 3234000154036 4042500192545 8085000385090 10510500500617 16170000770180 21021001001234 42042002002468 52552502503085 105105005006170 210210010012340