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10224324530400 = 253524260135221
BaseRepresentation
bin1001010011001000100100…
…1110110101000011100000
31100012102202202102010001010
42110302021032311003200
52320003404034433100
633424553450140520
72103453202366461
oct224621116650340
940172682363033
1010224324530400
113292125716a02
121191661721740
135921c3a80046
14274c079a6d68
1512ae58b10750
hex94c893b50e0

10224324530400 has 72 divisors (see below), whose sum is σ = 33280176354264. Its totient is φ = 2726486540800.

The previous prime is 10224324530351. The next prime is 10224324530401. The reversal of 10224324530400 is 403542342201.

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 (10224324530401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2130065211 + ... + 2130070010.

It is an arithmetic number, because the mean of its divisors is an integer number (462224671587).

Almost surely, 210224324530400 is an apocalyptic number.

10224324530400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10224324530400 is an abundant number, since it is smaller than the sum of its proper divisors (23055851823864).

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

10224324530400 is a wasteful number, since it uses less digits than its factorization.

10224324530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260135244 (or 4260135231 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 10224324530400 its reverse (403542342201), we get a palindrome (10627866872601).

The spelling of 10224324530400 in words is "ten trillion, two hundred twenty-four billion, three hundred twenty-four million, five hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 4260135221 8520270442 12780405663 17040540884 21300676105 25560811326 34081081768 42601352210 51121622652 63902028315 68162163536 85202704420 102243245304 106503380525 127804056630 136324327072 170405408840 204486490608 213006761050 255608113260 319510141575 340810817680 408972981216 426013522100 511216226520 639020283150 681621635360 852027044200 1022432453040 1278040566300 1704054088400 2044864906080 2556081132600 3408108176800 5112162265200 10224324530400