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10001210310 = 23257131964271
BaseRepresentation
bin10010101000001111…
…00101101111000110
3221211000001010100200
421110013211233012
5130440302212220
64332224351330
7502560612360
oct112407455706
927730033320
1010001210310
114272471373
121b31475546
13c35022330
146ac399d30
153d804b890
hex2541e5bc6

10001210310 has 192 divisors, whose sum is σ = 33688811520. Its totient is φ = 1999054080.

The previous prime is 10001210299. The next prime is 10001210339. The reversal of 10001210310 is 1301210001.

10001210310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100012103102 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10001210292 and 10001210301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123475 + ... + 187745.

It is an arithmetic number, because the mean of its divisors is an integer number (175462560).

Almost surely, 210001210310 is an apocalyptic number.

10001210310 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 10001210310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16844405760).

10001210310 is an abundant number, since it is smaller than the sum of its proper divisors (23687601210).

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

10001210310 is a wasteful number, since it uses less digits than its factorization.

10001210310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64323 (or 64320 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001210310 its reverse (1301210001), we get a palindrome (11302420311).

The spelling of 10001210310 in words is "ten billion, one million, two hundred ten thousand, three hundred ten".