Search a number
-
+
120402232230 = 2357898097963
BaseRepresentation
bin111000000100010001…
…0000100001110100110
3102111210001001010101110
41300020202010032212
53433040432412410
6131151221405450
711461452042060
oct1601042041646
9374701033343
10120402232230
1147075a15155
121b402569886
13b47a62a9c7
145b8292c730
1531ea45a720
hex1c088843a6

120402232230 has 128 divisors (see below), whose sum is σ = 334411545600. Its totient is φ = 27174242304.

The previous prime is 120402232207. The next prime is 120402232261. The reversal of 120402232230 is 32232204021.

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

It is a junction number, because it is equal to n+sod(n) for n = 120402232197 and 120402232206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15116229 + ... + 15124191.

It is an arithmetic number, because the mean of its divisors is an integer number (2612590200).

Almost surely, 2120402232230 is an apocalyptic number.

120402232230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120402232230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167205772800).

120402232230 is an abundant number, since it is smaller than the sum of its proper divisors (214009313370).

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

120402232230 is a wasteful number, since it uses less digits than its factorization.

120402232230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8878.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 120402232230 its reverse (32232204021), we get a palindrome (152634436251).

The spelling of 120402232230 in words is "one hundred twenty billion, four hundred two million, two hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 105 178 210 267 445 534 623 809 890 1246 1335 1618 1869 2427 2670 3115 3738 4045 4854 5663 6230 7963 8090 9345 11326 12135 15926 16989 18690 23889 24270 28315 33978 39815 47778 55741 56630 72001 79630 84945 111482 119445 144002 167223 169890 216003 238890 278705 334446 360005 432006 504007 557410 708707 720010 836115 1008014 1080015 1417414 1512021 1672230 2126121 2160030 2520035 3024042 3543535 4252242 4960949 5040070 6442067 7087070 7560105 9921898 10630605 12884134 14882847 15120210 19326201 21261210 24804745 29765694 32210335 38652402 45094469 49609490 64420670 74414235 90188938 96631005 135283407 148828470 193262010 225472345 270566814 450944690 573343963 676417035 1146687926 1352834070 1720031889 2866719815 3440063778 4013407741 5733439630 8026815482 8600159445 12040223223 17200318890 20067038705 24080446446 40134077410 60201116115 120402232230