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103332120 = 233517373
BaseRepresentation
bin1100010100010…
…11100100011000
321012102211000120
412022023210120
5202423111440
614130433240
72363210553
oct612134430
9235384016
10103332120
1153367a51
122a732820
131853c388
14da1b69a
159111dd0
hex628b918

103332120 has 128 divisors (see below), whose sum is σ = 337348800. Its totient is φ = 25233408.

The previous prime is 103332091. The next prime is 103332121. The reversal of 103332120 is 21233301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103332120.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 629 × 555 × 296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103332121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2792742 + ... + 2792778.

Almost surely, 2103332120 is an apocalyptic number.

103332120 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 103332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168674400).

103332120 is an abundant number, since it is smaller than the sum of its proper divisors (234016680).

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

103332120 is an equidigital number, since it uses as much as digits as its factorization.

103332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 103332120 is about 10165.2407743250. The cubic root of 103332120 is about 469.2581021985.

Adding to 103332120 its reverse (21233301), we get a palindrome (124565421).

It can be divided in two parts, 1033 and 32120, that added together give a triangular number (33153 = T257).

The spelling of 103332120 in words is "one hundred three million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 888 1020 1110 1258 1369 1480 1887 2040 2220 2516 2738 3145 3774 4107 4440 5032 5476 6290 6845 7548 8214 9435 10952 12580 13690 15096 16428 18870 20535 23273 25160 27380 32856 37740 41070 46546 50653 54760 69819 75480 82140 93092 101306 116365 139638 151959 164280 186184 202612 232730 253265 279276 303918 349095 405224 465460 506530 558552 607836 698190 759795 861101 930920 1013060 1215672 1396380 1519590 1722202 2026120 2583303 2792760 3039180 3444404 4305505 5166606 6078360 6888808 8611010 10333212 12916515 17222020 20666424 25833030 34444040 51666060 103332120