Search a number
-
+
120132441030 = 23572233553163
BaseRepresentation
bin110111111100001110…
…0111001001111000110
3102111002020101022102210
41233320130321033012
53432012401103110
6131104343044250
711451664620600
oct1577034711706
9374066338383
10120132441030
1146a476a4018
121b348140686
13b436778c44
145b58b80170
1531d1917520
hex1bf87393c6

120132441030 has 96 divisors (see below), whose sum is σ = 349972441344. Its totient is φ = 26264973504.

The previous prime is 120132441029. The next prime is 120132441031. The reversal of 120132441030 is 30144231021.

It is an interprime number because it is at equal distance from previous prime (120132441029) and next prime (120132441031).

It is a super-3 number, since 3×1201324410303 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120132440988 and 120132441006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120132441031) 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, 1742772 + ... + 1810391.

It is an arithmetic number, because the mean of its divisors is an integer number (3645546264).

Almost surely, 2120132441030 is an apocalyptic number.

120132441030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120132441030 is an abundant number, since it is smaller than the sum of its proper divisors (229840000314).

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

120132441030 is a wasteful number, since it uses less digits than its factorization.

120132441030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553210 (or 3553203 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 120132441030 its reverse (30144231021), we get a palindrome (150276672051).

The spelling of 120132441030 in words is "one hundred twenty billion, one hundred thirty-two million, four hundred forty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 49 69 70 98 105 115 138 147 161 210 230 245 294 322 345 483 490 690 735 805 966 1127 1470 1610 2254 2415 3381 4830 5635 6762 11270 16905 33810 3553163 7106326 10659489 17765815 21318978 24872141 35531630 49744282 53297445 74616423 81722749 106594890 124360705 149232846 163445498 174104987 245168247 248721410 348209974 373082115 408613745 490336494 522314961 572059243 746164230 817227490 870524935 1044629922 1144118486 1225841235 1716177729 1741049870 2451682470 2611574805 2860296215 3432355458 4004414701 5223149610 5720592430 8008829402 8580888645 12013244103 17161777290 20022073505 24026488206 40044147010 60066220515 120132441030