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120304220100 = 223521633976197
BaseRepresentation
bin111000000001010110…
…0001011011111000100
3102111112012121121000120
41300002230023133010
53432340340020400
6131133400541540
711456151666321
oct1600254133704
9374465547016
10120304220100
1147025661199
121b3957818b0
13b463231c6c
145b738d7b48
1531e1a49ca0
hex1c02b0b7c4

120304220100 has 144 divisors (see below), whose sum is σ = 351154483008. Its totient is φ = 31798863360.

The previous prime is 120304220089. The next prime is 120304220129. The reversal of 120304220100 is 1022403021.

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 120304220100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19410202 + ... + 19416398.

Almost surely, 2120304220100 is an apocalyptic number.

120304220100 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 120304220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175577241504).

120304220100 is an abundant number, since it is smaller than the sum of its proper divisors (230850262908).

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

120304220100 is a wasteful number, since it uses less digits than its factorization.

120304220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6774 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 120304220100 its reverse (1022403021), we get a palindrome (121326623121).

The spelling of 120304220100 in words is "one hundred twenty billion, three hundred four million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 300 326 397 489 652 794 815 978 1191 1588 1630 1956 1985 2382 2445 3260 3970 4075 4764 4890 5955 6197 7940 8150 9780 9925 11910 12225 12394 16300 18591 19850 23820 24450 24788 29775 30985 37182 39700 48900 59550 61970 64711 74364 92955 119100 123940 129422 154925 185910 194133 258844 309850 323555 371820 388266 464775 619700 647110 776532 929550 970665 1010111 1294220 1617775 1859100 1941330 2020222 2460209 3030333 3235550 3882660 4040444 4853325 4920418 5050555 6060666 6471100 7380627 9706650 9840836 10101110 12121332 12301045 14761254 15151665 19413300 20202220 24602090 25252775 29522508 30303330 36903135 49204180 50505550 60606660 61505225 73806270 75758325 101011100 123010450 147612540 151516650 184515675 246020900 303033300 369031350 401014067 738062700 802028134 1203042201 1604056268 2005070335 2406084402 4010140670 4812168804 6015211005 8020281340 10025351675 12030422010 20050703350 24060844020 30076055025 40101406700 60152110050 120304220100