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103301220 = 223511281557
BaseRepresentation
bin1100010100001…
…00000001100100
321012101020122010
412022010001210
5202421114340
614130034220
72363021511
oct612040144
9235336563
10103301220
1153346810
122a718970
131852b2a9
14da10308
159107b80
hex6284064

103301220 has 96 divisors (see below), whose sum is σ = 317229696. Its totient is φ = 24908800.

The previous prime is 103301189. The next prime is 103301227. The reversal of 103301220 is 22103301.

Adding to 103301220 its reverse (22103301), we get a palindrome (125404521).

It is a happy number.

It is a super-2 number, since 2×1033012202 = 21342284106976800, which contains 22 as substring.

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 = 103301196 and 103301205.

It is not an unprimeable number, because it can be changed into a prime (103301227) 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, 185182 + ... + 185738.

It is an arithmetic number, because the mean of its divisors is an integer number (3304476).

Almost surely, 2103301220 is an apocalyptic number.

103301220 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 103301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158614848).

103301220 is an abundant number, since it is smaller than the sum of its proper divisors (213928476).

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

103301220 is a wasteful number, since it uses less digits than its factorization.

103301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103301220 is about 10163.7207753854. The cubic root of 103301220 is about 469.2113225494.

The spelling of 103301220 in words is "one hundred three million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 281 330 557 562 660 843 1114 1124 1405 1671 1686 2228 2785 2810 3091 3342 3372 4215 5570 5620 6127 6182 6684 8355 8430 9273 11140 12254 12364 15455 16710 16860 18381 18546 24508 30635 30910 33420 36762 37092 46365 61270 61820 73524 91905 92730 122540 156517 183810 185460 313034 367620 469551 626068 782585 939102 1565170 1721687 1878204 2347755 3130340 3443374 4695510 5165061 6886748 8608435 9391020 10330122 17216870 20660244 25825305 34433740 51650610 103301220