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122403320 = 23513219953
BaseRepresentation
bin1110100101110…
…11100111111000
322112022201210022
413102323213320
5222313401240
620051310012
73014260664
oct722734770
9275281708
10122403320
1163103476
1234bab308
131c488b00
14123838a4
15ab2c9b5
hex74bb9f8

122403320 has 96 divisors (see below), whose sum is σ = 314247600. Its totient is φ = 42771456.

The previous prime is 122403317. The next prime is 122403367. The reversal of 122403320 is 23304221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127964 + ... + 128916.

Almost surely, 2122403320 is an apocalyptic number.

122403320 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 122403320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157123800).

122403320 is an abundant number, since it is smaller than the sum of its proper divisors (191844280).

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

122403320 is a wasteful number, since it uses less digits than its factorization.

122403320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 122403320 is about 11063.6033913007. The cubic root of 122403320 is about 496.5135052157.

Adding to 122403320 its reverse (23304221), we get a palindrome (145707541).

Subtracting from 122403320 its reverse (23304221), we obtain a palindrome (99099099).

The spelling of 122403320 in words is "one hundred twenty-two million, four hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 169 190 247 260 338 380 494 520 676 760 845 953 988 1235 1352 1690 1906 1976 2470 3211 3380 3812 4765 4940 6422 6760 7624 9530 9880 12389 12844 16055 18107 19060 24778 25688 32110 36214 38120 49556 61945 64220 72428 90535 99112 123890 128440 144856 161057 181070 235391 247780 322114 362140 470782 495560 644228 724280 805285 941564 1176955 1288456 1610570 1883128 2353910 3060083 3221140 4707820 6120166 6442280 9415640 12240332 15300415 24480664 30600830 61201660 122403320