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10232310000 = 2435411101307
BaseRepresentation
bin10011000011110010…
…01010100011110000
3222102002220012112110
421201321022203300
5131423432410000
64411201525320
7511365125403
oct114171124360
928362805473
1010232310000
114380965a50
121b96943840
13c70b78003
146d0d55d3a
153ed49a850
hex261e4a8f0

10232310000 has 400 divisors, whose sum is σ = 36509413248. Its totient is φ = 2448000000.

The previous prime is 10232309987. The next prime is 10232310001. The reversal of 10232310000 is 1323201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×102323100002 (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 not an unprimeable number, because it can be changed into a prime (10232310001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33329847 + ... + 33330153.

Almost surely, 210232310000 is an apocalyptic number.

10232310000 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 10232310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18254706624).

10232310000 is an abundant number, since it is smaller than the sum of its proper divisors (26277103248).

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

10232310000 is a wasteful number, since it uses less digits than its factorization.

10232310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 429 counting only the distinct ones).

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

Adding to 10232310000 its reverse (1323201), we get a palindrome (10233633201).

The spelling of 10232310000 in words is "ten billion, two hundred thirty-two million, three hundred ten thousand".