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103122240 = 2635138263
BaseRepresentation
bin1100010010110…
…00010101000000
321012001011010020
412021120111000
5202344402430
614122133440
72361344634
oct611302500
9235034106
10103122240
11532342a1
122a651280
13184979a0
14d9a4dc4
1590beb10
hex6258540

103122240 has 112 divisors (see below), whose sum is σ = 352641408. Its totient is φ = 25380864.

The previous prime is 103122233. The next prime is 103122247. The reversal of 103122240 is 42221301.

It is an interprime number because it is at equal distance from previous prime (103122233) and next prime (103122247).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103122247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8349 + ... + 16611.

It is an arithmetic number, because the mean of its divisors is an integer number (3148584).

Almost surely, 2103122240 is an apocalyptic number.

103122240 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 103122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176320704).

103122240 is an abundant number, since it is smaller than the sum of its proper divisors (249519168).

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

103122240 is a wasteful number, since it uses less digits than its factorization.

103122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8296 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 103122240 is about 10154.9121118796. The cubic root of 103122240 is about 468.9401802523.

Adding to 103122240 its reverse (42221301), we get a palindrome (145343541).

The spelling of 103122240 in words is "one hundred three million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 8263 12480 16526 24789 33052 41315 49578 66104 82630 99156 107419 123945 132208 165260 198312 214838 247890 264416 322257 330520 396624 429676 495780 528832 537095 644514 661040 793248 859352 991560 1074190 1289028 1322080 1586496 1611285 1718704 1983120 2148380 2578056 2644160 3222570 3437408 3966240 4296760 5156112 6445140 6874816 7932480 8593520 10312224 12890280 17187040 20624448 25780560 34374080 51561120 103122240