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120230020240 = 2451110111311971
BaseRepresentation
bin110111111111001000…
…1001000010010010000
3102111100000222211221121
41233332101020102100
53432212341121430
6131122150332024
711454261211231
oct1577621102220
9374300884847
10120230020240
1146a977917a0
121b37495a014
13b450a52915
145b67b01088
1531da28ea7a
hex1bfe448490

120230020240 has 160 divisors (see below), whose sum is σ = 310717648512. Its totient is φ = 42900480000.

The previous prime is 120230020231. The next prime is 120230020241. The reversal of 120230020240 is 42020032021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (120230020241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10037455 + ... + 10049425.

Almost surely, 2120230020240 is an apocalyptic number.

120230020240 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 120230020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155358824256).

120230020240 is an abundant number, since it is smaller than the sum of its proper divisors (190487628272).

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

120230020240 is a wasteful number, since it uses less digits than its factorization.

120230020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12209 (or 12203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 120230020240 its reverse (42020032021), we get a palindrome (162250052261).

The spelling of 120230020240 in words is "one hundred twenty billion, two hundred thirty million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 113 176 202 220 226 404 440 452 505 565 808 880 904 1010 1111 1130 1243 1616 1808 2020 2222 2260 2486 4040 4444 4520 4972 5555 6215 8080 8888 9040 9944 11110 11413 11971 12430 17776 19888 22220 22826 23942 24860 44440 45652 47884 49720 57065 59855 88880 91304 95768 99440 114130 119710 125543 131681 182608 191536 228260 239420 251086 263362 456520 478840 502172 526724 627715 658405 913040 957680 1004344 1053448 1209071 1255430 1316810 1352723 2008688 2106896 2418142 2510860 2633620 2705446 4836284 5021720 5267240 5410892 6045355 6763615 9672568 10043440 10534480 10821784 12090710 13299781 13527230 14879953 19345136 21643568 24181420 26599562 27054460 29759906 48362840 53199124 54108920 59519812 66498905 74399765 96725680 106398248 108217840 119039624 132997810 136625023 148799530 212796496 238079248 265995620 273250046 297599060 531991240 546500092 595198120 683125115 1063982480 1093000184 1190396240 1366250230 1502875253 2186000368 2732500460 3005750506 5465000920 6011501012 7514376265 10930001840 12023002024 15028752530 24046004048 30057505060 60115010120 120230020240