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120103300 = 225217314353
BaseRepresentation
bin1110010100010…
…10000110000100
322100222212202101
413022022012010
5221221301200
615530121444
72655601252
oct712120604
9270885671
10120103300
1161882429
1234280284
131bb61c55
1411d455d2
15a82626a
hex728a184

120103300 has 144 divisors (see below), whose sum is σ = 296980992. Its totient is φ = 41932800.

The previous prime is 120103271. The next prime is 120103307. The reversal of 120103300 is 3301021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120103307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2266074 + ... + 2266126.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2120103300 is an apocalyptic number.

120103300 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 120103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496).

120103300 is an abundant number, since it is smaller than the sum of its proper divisors (176877692).

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

120103300 is a wasteful number, since it uses less digits than its factorization.

120103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 120103300 is about 10959.1651141864. The cubic root of 120103300 is about 493.3839074441.

Adding to 120103300 its reverse (3301021), we get a palindrome (123404321).

The spelling of 120103300 in words is "one hundred twenty million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 43 50 53 62 68 85 86 100 106 124 155 170 172 212 215 265 310 340 425 430 527 530 620 731 775 850 860 901 1054 1060 1075 1325 1333 1462 1550 1643 1700 1802 2108 2150 2279 2635 2650 2666 2924 3100 3286 3604 3655 4300 4505 4558 5270 5300 5332 6572 6665 7310 8215 9010 9116 10540 11395 13175 13330 14620 16430 18020 18275 22525 22661 22790 26350 26660 27931 32860 33325 36550 38743 41075 45050 45322 45580 52700 55862 56975 66650 70649 73100 77486 82150 90100 90644 111724 113305 113950 133300 139655 141298 154972 164300 193715 226610 227900 279310 282596 353245 387430 453220 558620 566525 698275 706490 774860 968575 1133050 1201033 1396550 1412980 1766225 1937150 2266100 2402066 2793100 3532450 3874300 4804132 6005165 7064900 12010330 24020660 30025825 60051650 120103300