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123113320 = 2351117109151
BaseRepresentation
bin1110101011010…
…00111101101000
322120122210201121
413111220331220
5223004111240
620114425024
73023305651
oct725507550
9276583647
10123113320
1163548950
1235292174
131c677025
14124ca528
15ac1d04a
hex7568f68

123113320 has 128 divisors (see below), whose sum is σ = 325036800. Its totient is φ = 41472000.

The previous prime is 123113317. The next prime is 123113321. The reversal of 123113320 is 23311321.

It is a super-2 number, since 2×1231133202 = 30313779122844800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123113294 and 123113303.

It is not an unprimeable number, because it can be changed into a prime (123113321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815245 + ... + 815395.

It is an arithmetic number, because the mean of its divisors is an integer number (2539350).

Almost surely, 2123113320 is an apocalyptic number.

123113320 is a gapful number since it is divisible by the number (10) 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 123113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162518400).

123113320 is an abundant number, since it is smaller than the sum of its proper divisors (201923480).

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

123113320 is a wasteful number, since it uses less digits than its factorization.

123113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 123113320 is about 11095.6441904019. The cubic root of 123113320 is about 497.4716632430.

Adding to 123113320 its reverse (23311321), we get a palindrome (146424641).

The spelling of 123113320 in words is "one hundred twenty-three million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 109 110 136 151 170 187 218 220 302 340 374 436 440 545 604 680 748 755 872 935 1090 1199 1208 1496 1510 1661 1853 1870 2180 2398 2567 3020 3322 3706 3740 4360 4796 5134 5995 6040 6644 7412 7480 8305 9265 9592 10268 11990 12835 13288 14824 16459 16610 18530 20383 20536 23980 25670 28237 32918 33220 37060 40766 47960 51340 56474 65836 66440 74120 81532 82295 101915 102680 112948 131672 141185 163064 164590 181049 203830 225896 279803 282370 329180 362098 407660 559606 564740 658360 724196 815320 905245 1119212 1129480 1399015 1448392 1810490 2238424 2798030 3077833 3620980 5596060 6155666 7241960 11192120 12311332 15389165 24622664 30778330 61556660 123113320