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24101030320 = 2451940139541
BaseRepresentation
bin10110011100100010…
…001000100110110000
32022012122100012020121
4112130202020212300
5343324330432240
615023304420024
71512150243343
oct263442104660
968178305217
1024101030320
11a248448884
124807477614
132371210ab3
141248c1845a
15960ceb04a
hex59c8889b0

24101030320 has 80 divisors (see below), whose sum is σ = 59132688480. Its totient is φ = 9110016000.

The previous prime is 24101030293. The next prime is 24101030389. The reversal of 24101030320 is 2303010142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 24101030294 and 24101030303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589750 + ... + 629290.

It is an arithmetic number, because the mean of its divisors is an integer number (739158606).

Almost surely, 224101030320 is an apocalyptic number.

24101030320 is a gapful number since it is divisible by the number (20) 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 24101030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29566344240).

24101030320 is an abundant number, since it is smaller than the sum of its proper divisors (35031658160).

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

24101030320 is a wasteful number, since it uses less digits than its factorization.

24101030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39974 (or 39968 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 24101030320 its reverse (2303010142), we get a palindrome (26404040462).

The spelling of 24101030320 in words is "twenty-four billion, one hundred one million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 401 760 802 1520 1604 2005 3208 4010 6416 7619 8020 15238 16040 30476 32080 38095 39541 60952 76190 79082 121904 152380 158164 197705 304760 316328 395410 609520 632656 751279 790820 1502558 1581640 3005116 3163280 3756395 6010232 7512790 12020464 15025580 15855941 30051160 31711882 60102320 63423764 79279705 126847528 158559410 253695056 301262879 317118820 602525758 634237640 1205051516 1268475280 1506314395 2410103032 3012628790 4820206064 6025257580 12050515160 24101030320