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122103135 = 325711131269
BaseRepresentation
bin1110100011100…
…10010101011111
322111202111000100
413101302111133
5222224300020
620041032143
73011600550
oct721622537
9274674010
10122103135
1162a18990
1234a85653
131c3b229b
1412306327
15aabda90
hex747255f

122103135 has 96 divisors (see below), whose sum is σ = 266872320. Its totient is φ = 50169600.

The previous prime is 122103127. The next prime is 122103169. The reversal of 122103135 is 531301221.

It is not a de Polignac number, because 122103135 - 23 = 122103127 is a prime.

It is a congruent number.

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, 453781 + ... + 454049.

It is an arithmetic number, because the mean of its divisors is an integer number (2779920).

Almost surely, 2122103135 is an apocalyptic number.

122103135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122103135 is an abundant number, since it is smaller than the sum of its proper divisors (144769185).

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

122103135 is a wasteful number, since it uses less digits than its factorization.

122103135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 426 counting only the distinct ones).

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

The square root of 122103135 is about 11050.0287329943. The cubic root of 122103135 is about 496.1072855310.

Adding to 122103135 its reverse (531301221), we get a palindrome (653404356).

The spelling of 122103135 in words is "one hundred twenty-two million, one hundred three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 131 165 231 269 315 385 393 495 655 693 807 917 1155 1179 1345 1441 1883 1965 2421 2751 2959 3465 4035 4323 4585 5649 5895 7205 8253 8877 9415 10087 12105 12969 13755 14795 16947 20713 21615 26631 28245 30261 35239 41265 44385 50435 62139 64845 84735 90783 103565 105717 133155 151305 176195 186417 246673 310695 317151 387629 453915 528585 740019 932085 1162887 1233365 1585755 1938145 2220057 2713403 3488661 3700095 5814435 8140209 11100285 13567015 17443305 24420627 40701045 122103135