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10300202010000 = 243254723710849
BaseRepresentation
bin1001010111100011001111…
…1000011100010110010000
31100110200121210021110012100
42111320303320130112100
52322224303203310000
633523503020000400
72112110415335250
oct225706370342620
940420553243170
1010300202010000
113311322566431
1211a42b8990100
135993c6a96276
14278765017960
1512cdea206a00
hex95e33e1c590

10300202010000 has 600 divisors, whose sum is σ = 42957131817600. Its totient is φ = 2251966464000.

The previous prime is 10300202009987. The next prime is 10300202010013. The reversal of 10300202010000 is 1020200301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10300202009987) and next prime (10300202010013).

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×103002020100002 (a number of 27 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14134576 + ... + 14845424.

It is an arithmetic number, because the mean of its divisors is an integer number (71595219696).

Almost surely, 210300202010000 is an apocalyptic number.

10300202010000 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 10300202010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21478565908800).

10300202010000 is an abundant number, since it is smaller than the sum of its proper divisors (32656929807600).

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

10300202010000 is a wasteful number, since it uses less digits than its factorization.

10300202010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710913 (or 710889 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10300202010000 its reverse (1020200301), we get a palindrome (10301222210301).

The spelling of 10300202010000 in words is "ten trillion, three hundred billion, two hundred two million, ten thousand".