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103013220 = 22352973811
BaseRepresentation
bin1100010001111…
…01101101100100
321011211121120110
412020331231210
5202332410340
614115533020
72360412042
oct610755544
9234747513
10103013220
115316a3a2
122a5ba170
131845a18b
14d977392
15909c680
hex623db64

103013220 has 96 divisors (see below), whose sum is σ = 302843520. Its totient is φ = 26127360.

The previous prime is 103013219. The next prime is 103013243. The reversal of 103013220 is 22310301.

It is a happy number.

It is a super-2 number, since 2×1030132202 = 21223446989536800, 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 = 103013196 and 103013205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126615 + ... + 127425.

It is an arithmetic number, because the mean of its divisors is an integer number (3154620).

Almost surely, 2103013220 is an apocalyptic number.

103013220 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 103013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151421760).

103013220 is an abundant number, since it is smaller than the sum of its proper divisors (199830300).

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

103013220 is a wasteful number, since it uses less digits than its factorization.

103013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 923 counting only the distinct ones).

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

The square root of 103013220 is about 10149.5428468478. The cubic root of 103013220 is about 468.7748687251.

Adding to 103013220 its reverse (22310301), we get a palindrome (125323521).

The spelling of 103013220 in words is "one hundred three million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 73 87 116 145 146 174 219 290 292 348 365 435 438 580 730 811 870 876 1095 1460 1622 1740 2117 2190 2433 3244 4055 4234 4380 4866 6351 8110 8468 9732 10585 12165 12702 16220 21170 23519 24330 25404 31755 42340 47038 48660 59203 63510 70557 94076 117595 118406 127020 141114 177609 235190 236812 282228 296015 352785 355218 470380 592030 705570 710436 888045 1184060 1411140 1716887 1776090 3433774 3552180 5150661 6867548 8584435 10301322 17168870 20602644 25753305 34337740 51506610 103013220