Search a number
-
+
120130003344 = 24313432104119
BaseRepresentation
bin110111111100001001…
…1100110000110010000
3102111002001210110120010
41233320103212012100
53432011240101334
6131104214514520
711451635115621
oct1577023460620
9374061713503
10120130003344
1146a462895aa
121b347365a40
13b436104520
145b58707a48
1531d15d50e9
hex1bf84e6190

120130003344 has 120 divisors (see below), whose sum is σ = 342164141760. Its totient is φ = 36103124736.

The previous prime is 120130003297. The next prime is 120130003351. The reversal of 120130003344 is 443300031021.

It is a self number, because there is not a number n which added to its sum of digits gives 120130003344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101717 + ... + 1205835.

It is an arithmetic number, because the mean of its divisors is an integer number (2851367848).

Almost surely, 2120130003344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120130003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171082070880).

120130003344 is an abundant number, since it is smaller than the sum of its proper divisors (222034138416).

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

120130003344 is a wasteful number, since it uses less digits than its factorization.

120130003344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104229 (or 104180 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 120130003344 its reverse (443300031021), we get a palindrome (563430034365).

The spelling of 120130003344 in words is "one hundred twenty billion, one hundred thirty million, three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 1849 2064 2236 3354 3698 4472 5547 6708 7396 8944 11094 13416 14792 22188 24037 26832 29584 44376 48074 72111 88752 96148 104119 144222 192296 208238 288444 312357 384592 416476 576888 624714 832952 1153776 1249428 1353547 1665904 2498856 2707094 4060641 4477117 4997712 5414188 8121282 8954234 10828376 13431351 16242564 17908468 21656752 26862702 32485128 35816936 53725404 58202521 64970256 71633872 107450808 116405042 174607563 192516031 214901616 232810084 349215126 385032062 465620168 577548093 698430252 770064124 931240336 1155096186 1396860504 1540128248 2310192372 2502708403 2793721008 3080256496 4620384744 5005416806 7508125209 9240769488 10010833612 15016250418 20021667224 30032500836 40043334448 60065001672 120130003344