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120230220300 = 223521767351859
BaseRepresentation
bin110111111111001000…
…1111001001000001100
3102111100001101000101020
41233332101321020030
53432212414022200
6131122154514140
711454263003421
oct1577621711014
9374301330336
10120230220300
1146a97909033
121b374a35950
13b450ac29b8
145b67b53d48
1531da2cdea0
hex1bfe47920c

120230220300 has 144 divisors (see below), whose sum is σ = 373827323520. Its totient is φ = 29724963840.

The previous prime is 120230220259. The next prime is 120230220307. The reversal of 120230220300 is 3022032021.

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 120230220300.

It is not an unprimeable number, because it can be changed into a prime (120230220307) 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, 165771 + ... + 517629.

It is an arithmetic number, because the mean of its divisors is an integer number (2596023080).

Almost surely, 2120230220300 is an apocalyptic number.

120230220300 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 120230220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186913661760).

120230220300 is an abundant number, since it is smaller than the sum of its proper divisors (253597103220).

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

120230220300 is a wasteful number, since it uses less digits than its factorization.

120230220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351960 (or 351953 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 120230220300 its reverse (3022032021), we get a palindrome (123252252321).

The spelling of 120230220300 in words is "one hundred twenty billion, two hundred thirty million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 67 68 75 85 100 102 134 150 170 201 204 255 268 300 335 340 402 425 510 670 804 850 1005 1020 1139 1275 1340 1675 1700 2010 2278 2550 3350 3417 4020 4556 5025 5100 5695 6700 6834 10050 11390 13668 17085 20100 22780 28475 34170 56950 68340 85425 113900 170850 341700 351859 703718 1055577 1407436 1759295 2111154 3518590 4222308 5277885 5981603 7037180 8796475 10555770 11963206 17592950 17944809 21111540 23574553 23926412 26389425 29908015 35185900 35889618 47149106 52778850 59816030 70723659 71779236 89724045 94298212 105557700 117872765 119632060 141447318 149540075 179448090 235745530 282894636 299080150 353618295 358896180 400767401 448620225 471491060 589363825 598160300 707236590 801534802 897240450 1178727650 1202302203 1414473180 1603069604 1768091475 1794480900 2003837005 2357455300 2404604406 3536182950 4007674010 4809208812 6011511015 7072365900 8015348020 10019185025 12023022030 20038370050 24046044060 30057555075 40076740100 60115110150 120230220300