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10322310000 = 243543371021
BaseRepresentation
bin10011001110100000…
…11111001101110000
3222122101020200022210
421213100133031300
5132120002410000
64424134532120
7513540121152
oct114720371560
928571220283
1010322310000
114417747312
122000b07040
13c866c9c52
146dcca2ad2
15406327350
hex26741f370

10322310000 has 200 divisors, whose sum is σ = 33453403984. Its totient is φ = 2741760000.

The previous prime is 10322309993. The next prime is 10322310049. The reversal of 10322310000 is 1322301.

It is a happy number.

10322310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×103223100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 39 ways as a sum of consecutive naturals, for example, 10109490 + ... + 10110510.

Almost surely, 210322310000 is an apocalyptic number.

10322310000 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 10322310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16726701992).

10322310000 is an abundant number, since it is smaller than the sum of its proper divisors (23131093984).

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

10322310000 is a wasteful number, since it uses less digits than its factorization.

10322310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10322310000 its reverse (1322301), we get a palindrome (10323632301).

The spelling of 10322310000 in words is "ten billion, three hundred twenty-two million, three hundred ten thousand".