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123201300105 = 3551361912601
BaseRepresentation
bin111001010111101011…
…1101010011010001001
3102210000002222111200000
41302233113222122021
54004304013100410
6132333051233213
711621020525602
oct1625727523211
9383002874600
10123201300105
1148281a16294
121ba63a48809
13b8054bc8a0
145d6a58cda9
15331105ddc0
hex1caf5ea689

123201300105 has 96 divisors (see below), whose sum is σ = 238897626240. Its totient is φ = 60550156800.

The previous prime is 123201300073. The next prime is 123201300121. The reversal of 123201300105 is 501003102321.

It is not a de Polignac number, because 123201300105 - 25 = 123201300073 is a prime.

It is a super-2 number, since 2×1232013001052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9770805 + ... + 9783405.

It is an arithmetic number, because the mean of its divisors is an integer number (2488516940).

Almost surely, 2123201300105 is an apocalyptic number.

123201300105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123201300105 is a deficient number, since it is larger than the sum of its proper divisors (115696326135).

123201300105 is a wasteful number, since it uses less digits than its factorization.

123201300105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13253 (or 13241 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 123201300105 its reverse (501003102321), we get a palindrome (624204402426).

The spelling of 123201300105 in words is "one hundred twenty-three billion, two hundred one million, three hundred thousand, one hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 243 351 405 585 619 1053 1215 1755 1857 3095 3159 5265 5571 8047 9285 12601 15795 16713 24141 27855 37803 40235 50139 63005 72423 83565 113409 120705 150417 163813 189015 217269 250695 340227 362115 491439 567045 651807 752085 819065 1020681 1086345 1474317 1701135 1955421 2457195 3062043 3259035 4422951 5103405 7371585 7800019 9777105 13268853 15310215 22114755 23400057 39000095 39806559 66344265 70200171 101400247 117000285 199032795 210600513 304200741 351000855 507001235 631801539 912602223 1053002565 1521003705 1895404617 2737806669 3159007695 4563011115 8213420007 9477023085 13689033345 24640260021 41067100035 123201300105