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121103220 = 22357377793
BaseRepresentation
bin1110011011111…
…10001101110100
322102212200101110
413031332031310
5222000300340
620003355020
73000234420
oct715761564
9272780343
10121103220
11623a5707
1234682a70
131c122114
1412125b80
15a972680
hex737e374

121103220 has 96 divisors (see below), whose sum is σ = 398055168. Its totient is φ = 26929152.

The previous prime is 121103219. The next prime is 121103221. The reversal of 121103220 is 22301121.

It is an interprime number because it is at equal distance from previous prime (121103219) and next prime (121103221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121103196 and 121103205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121103221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11644 + ... + 19436.

It is an arithmetic number, because the mean of its divisors is an integer number (4146408).

Almost surely, 2121103220 is an apocalyptic number.

121103220 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 121103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199027584).

121103220 is an abundant number, since it is smaller than the sum of its proper divisors (276951948).

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

121103220 is a wasteful number, since it uses less digits than its factorization.

121103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7849 (or 7847 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121103220 is about 11004.6908180103. The cubic root of 121103220 is about 494.7493476424.

Adding to 121103220 its reverse (22301121), we get a palindrome (143404341).

The spelling of 121103220 in words is "one hundred twenty-one million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 7793 15540 15586 23379 31172 38965 46758 54551 77930 93516 109102 116895 155860 163653 218204 233790 272755 288341 327306 467580 545510 576682 654612 818265 865023 1091020 1153364 1441705 1636530 1730046 2018387 2883410 3273060 3460092 4036774 4325115 5766820 6055161 8073548 8650230 10091935 12110322 17300460 20183870 24220644 30275805 40367740 60551610 121103220