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10530010320 = 2435415361331
BaseRepresentation
bin10011100111010001…
…10011010011010000
31000011212001221121020
421303220303103100
5133031140312240
64500514355440
7521641416354
oct116350632320
930155057536
1010530010320
114513a09675
12205a58bb80
13cba74c14b
1471c6cb464
154196a30d0
hex273a334d0

10530010320 has 320 divisors, whose sum is σ = 34733276928. Its totient is φ = 2635776000.

The previous prime is 10530010319. The next prime is 10530010333. The reversal of 10530010320 is 2301003501.

It is a happy number.

It is a super-2 number, since 2×105300103202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10530010320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31812555 + ... + 31812885.

Almost surely, 210530010320 is an apocalyptic number.

10530010320 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 10530010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366638464).

10530010320 is an abundant number, since it is smaller than the sum of its proper divisors (24203266608).

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

10530010320 is a wasteful number, since it uses less digits than its factorization.

10530010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 10530010320 its reverse (2301003501), we get a palindrome (12831013821).

The spelling of 10530010320 in words is "ten billion, five hundred thirty million, ten thousand, three hundred twenty".