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123424313100 = 223521141912227
BaseRepresentation
bin111001011110010101…
…0011000111100001100
3102210120122121201222120
41302330222120330030
54010233111004400
6132411135212540
711626366231344
oct1627452307414
9383518551876
10123424313100
1148386897250
121bb06677150
13b83c77383a
145d8c041d24
153325911ca0
hex1cbca98f0c

123424313100 has 144 divisors (see below), whose sum is σ = 399074207616. Its totient is φ = 29191232000.

The previous prime is 123424313069. The next prime is 123424313143. The reversal of 123424313100 is 1313424321.

It is a happy number.

It is a super-2 number, since 2×1234243131002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 320814 + ... + 591413.

It is an arithmetic number, because the mean of its divisors is an integer number (2771348664).

Almost surely, 2123424313100 is an apocalyptic number.

123424313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123424313100 is an abundant number, since it is smaller than the sum of its proper divisors (275649894516).

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

123424313100 is a wasteful number, since it uses less digits than its factorization.

123424313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912296 (or 912289 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 123424313100 its reverse (1313424321), we get a palindrome (124737737421).

The spelling of 123424313100 in words is "one hundred twenty-three billion, four hundred twenty-four million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 41 44 50 55 60 66 75 82 100 110 123 132 150 164 165 205 220 246 275 300 330 410 451 492 550 615 660 820 825 902 1025 1100 1230 1353 1650 1804 2050 2255 2460 2706 3075 3300 4100 4510 5412 6150 6765 9020 11275 12300 13530 22550 27060 33825 45100 67650 135300 912227 1824454 2736681 3648908 4561135 5473362 9122270 10034497 10946724 13683405 18244540 20068994 22805675 27366810 30103491 37401307 40137988 45611350 50172485 54733620 60206982 68417025 74802614 91222700 100344970 112203921 120413964 136834050 149605228 150517455 187006535 200689940 224407842 250862425 273668100 301034910 374013070 411414377 448815684 501724850 561019605 602069820 748026140 752587275 822828754 935032675 1003449700 1122039210 1234243131 1505174550 1645657508 1870065350 2057071885 2244078420 2468486262 2805098025 3010349100 3740130700 4114143770 4936972524 5610196050 6171215655 8228287540 10285359425 11220392100 12342431310 20570718850 24684862620 30856078275 41141437700 61712156550 123424313100