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103422120 = 233529113263
BaseRepresentation
bin1100010101000…
…01100010101000
321012121101110220
412022201202220
5202434001440
614132410040
72364034134
oct612414250
9235541426
10103422120
115341962a
122a776920
1318571329
14da423c4
15912d8d0
hex62a18a8

103422120 has 128 divisors (see below), whose sum is σ = 325036800. Its totient is φ = 26292224.

The previous prime is 103422119. The next prime is 103422127. The reversal of 103422120 is 21224301.

It is a super-2 number, since 2×1034221202 = 21392269810588800, which contains 22 as substring.

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 103422120.

It is not an unprimeable number, because it can be changed into a prime (103422127) 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, 393109 + ... + 393371.

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

Almost surely, 2103422120 is an apocalyptic number.

103422120 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 103422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162518400).

103422120 is an abundant number, since it is smaller than the sum of its proper divisors (221614680).

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

103422120 is a wasteful number, since it uses less digits than its factorization.

103422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

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

The square root of 103422120 is about 10169.6666612038. Note that the first 5 decimals coincide. The cubic root of 103422120 is about 469.3943004872.

Adding to 103422120 its reverse (21224301), we get a palindrome (124646421).

The spelling of 103422120 in words is "one hundred three million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 113 116 120 145 174 226 232 263 290 339 348 435 452 526 565 580 678 696 789 870 904 1052 1130 1160 1315 1356 1578 1695 1740 2104 2260 2630 2712 3156 3277 3390 3480 3945 4520 5260 6312 6554 6780 7627 7890 9831 10520 13108 13560 15254 15780 16385 19662 22881 26216 29719 30508 31560 32770 38135 39324 45762 49155 59438 61016 65540 76270 78648 89157 91524 98310 114405 118876 131080 148595 152540 178314 183048 196620 228810 237752 297190 305080 356628 393240 445785 457620 594380 713256 861851 891570 915240 1188760 1723702 1783140 2585553 3447404 3566280 4309255 5171106 6894808 8618510 10342212 12927765 17237020 20684424 25855530 34474040 51711060 103422120