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10325413500 = 2235319934591
BaseRepresentation
bin10011001110111000…
…10100111001111100
3222122121002100112020
421213130110321330
5132121301213000
64424325240140
7513605365233
oct114734247174
928577070466
1010325413500
114419476a96
122001b63050
13c8724573c
146dd46db1a
1540673bba0
hex267714e7c

10325413500 has 96 divisors (see below), whose sum is σ = 30219571200. Its totient is φ = 2739528000.

The previous prime is 10325413493. The next prime is 10325413507. The reversal of 10325413500 is 531452301.

It is an interprime number because it is at equal distance from previous prime (10325413493) and next prime (10325413507).

It is a super-2 number, since 2×103254135002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10325413507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281205 + ... + 315795.

It is an arithmetic number, because the mean of its divisors is an integer number (314787200).

Almost surely, 210325413500 is an apocalyptic number.

10325413500 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 10325413500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15109785600).

10325413500 is an abundant number, since it is smaller than the sum of its proper divisors (19894157700).

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

10325413500 is a wasteful number, since it uses less digits than its factorization.

10325413500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34812 (or 34800 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 10325413500 its reverse (531452301), we get a palindrome (10856865801).

The spelling of 10325413500 in words is "ten billion, three hundred twenty-five million, four hundred thirteen thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 199 250 300 375 398 500 597 750 796 995 1194 1500 1990 2388 2985 3980 4975 5970 9950 11940 14925 19900 24875 29850 34591 49750 59700 69182 74625 99500 103773 138364 149250 172955 207546 298500 345910 415092 518865 691820 864775 1037730 1729550 2075460 2594325 3459100 4323875 5188650 6883609 8647750 10377300 12971625 13767218 17295500 20650827 25943250 27534436 34418045 41301654 51886500 68836090 82603308 103254135 137672180 172090225 206508270 344180450 413016540 516270675 688360900 860451125 1032541350 1720902250 2065082700 2581353375 3441804500 5162706750 10325413500