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10023450415320 = 2335101909190971
BaseRepresentation
bin1001000111011100010000…
…1100111001000011011000
31022111020021111022210002010
42101313010030321003120
52303211011301242240
633152413132505520
72053112305523136
oct221670414710330
938436244283063
1010023450415320
113214a154a3151
12115a74131b2a0
1357929062b414
142691cd786756
15125aeda74280
hex91dc43390d8

10023450415320 has 128 divisors (see below), whose sum is σ = 30371751809280. Its totient is φ = 2646135360000.

The previous prime is 10023450415267. The next prime is 10023450415327. The reversal of 10023450415320 is 2351405432001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023450415327) 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, 110137435 + ... + 110228405.

It is an arithmetic number, because the mean of its divisors is an integer number (237279311010).

Almost surely, 210023450415320 is an apocalyptic number.

10023450415320 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 10023450415320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185875904640).

10023450415320 is an abundant number, since it is smaller than the sum of its proper divisors (20348301393960).

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

10023450415320 is a wasteful number, since it uses less digits than its factorization.

10023450415320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100177 (or 100173 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10023450415320 its reverse (2351405432001), we get a palindrome (12374855847321).

The spelling of 10023450415320 in words is "ten trillion, twenty-three billion, four hundred fifty million, four hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 9091 12120 18182 27273 36364 45455 54546 72728 90910 90971 109092 136365 181820 181942 218184 272730 272913 363640 363884 454855 545460 545826 727768 909710 918191 1090920 1091652 1364565 1819420 1836382 2183304 2729130 2754573 3638840 3672764 4590955 5458260 5509146 7345528 9181910 9188071 10916520 11018292 13772865 18363820 18376142 22036584 27545730 27564213 36727640 36752284 45940355 55091460 55128426 73504568 91880710 110182920 110256852 137821065 183761420 220513704 275642130 367522840 551284260 827017361 1102568520 1654034722 2481052083 3308069444 4135086805 4962104166 6616138888 8270173610 9924208332 12405260415 16540347220 19848416664 24810520830 33080694440 49621041660 83528753461 99242083320 167057506922 250586260383 334115013844 417643767305 501172520766 668230027688 835287534610 1002345041532 1252931301915 1670575069220 2004690083064 2505862603830 3341150138440 5011725207660 10023450415320