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10323004314 = 2372973116101
BaseRepresentation
bin10011001110100110…
…01000101110011010
3222122102112221202010
421213103020232122
5132120142114224
64424201450350
7513546042330
oct114723105632
928572487663
1010323004314
114418080a27
1220011a09b6
13c868b0c9c
146dd003b50
15406412e29
hex2674c8b9a

10323004314 has 64 divisors (see below), whose sum is σ = 24743658240. Its totient is φ = 2808691200.

The previous prime is 10323004291. The next prime is 10323004327. The reversal of 10323004314 is 41340032301.

10323004314 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-3 number, since 3×103230043143 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 30864 + ... + 146964.

It is an arithmetic number, because the mean of its divisors is an integer number (386619660).

Almost surely, 210323004314 is an apocalyptic number.

10323004314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10323004314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12371829120).

10323004314 is an abundant number, since it is smaller than the sum of its proper divisors (14420653926).

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

10323004314 is a wasteful number, since it uses less digits than its factorization.

10323004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116215.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10323004314 its reverse (41340032301), we get a palindrome (51663036615).

The spelling of 10323004314 in words is "ten billion, three hundred twenty-three million, four thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 73 87 146 174 203 219 406 438 511 609 1022 1218 1533 2117 3066 4234 6351 12702 14819 29638 44457 88914 116101 232202 348303 696606 812707 1625414 2438121 3366929 4876242 6733858 8475373 10100787 16950746 20201574 23568503 25426119 47137006 50852238 59327611 70705509 118655222 141411018 177982833 245785817 355965666 491571634 737357451 1474714902 1720500719 3441001438 5161502157 10323004314