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10110213010000 = 24541011021301
BaseRepresentation
bin1001001100011111011110…
…1001111011001001010000
31022210112020010110020222201
42103013313221323021100
52311121204012310000
633300322344212544
72062303334436205
oct223076751731120
938715203406881
1010110213010000
113248798742754
121173515a6a154
1358450981633c
1426d4a071dcac
15127ecaab496a
hex931f7a7b250

10110213010000 has 50 divisors (see below), whose sum is σ = 24477836742722. Its totient is φ = 4044085200000.

The previous prime is 10110213009997. The next prime is 10110213010003. The reversal of 10110213010000 is 1031201101.

It is an interprime number because it is at equal distance from previous prime (10110213009997) and next prime (10110213010003).

It can be written as a sum of positive squares in 5 ways, for example, as 1292805384256 + 8817407625744 = 1137016^2 + 2969412^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-3 number, since 3×101102130100003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110213010003) 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 9 ways as a sum of consecutive naturals, for example, 505500651 + ... + 505520650.

Almost surely, 210110213010000 is an apocalyptic number.

10110213010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110213010000 is an abundant number, since it is smaller than the sum of its proper divisors (14367623732722).

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

10110213010000 is an equidigital number, since it uses as much as digits as its factorization.

10110213010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011021329 (or 1011021308 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10110213010000 its reverse (1031201101), we get a palindrome (10111244211101).

The spelling of 10110213010000 in words is "ten trillion, one hundred ten billion, two hundred thirteen million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1011021301 2022042602 4044085204 5055106505 8088170408 10110213010 16176340816 20220426020 25275532525 40440852040 50551065050 80881704080 101102130100 126377662625 202204260200 252755325250 404408520400 505510650500 631888313125 1011021301000 1263776626250 2022042602000 2527553252500 5055106505000 10110213010000