Search a number
-
+
1302313210032 = 2431911325749171
BaseRepresentation
bin10010111100110111111…
…010101001000010110000
311121111111110001200211210
4102330313322221002300
5132314114140210112
62434135135440120
7163042351432062
oct22746772510260
94544443050753
101302313210032
1146234294611a
12190492086040
1395a66416283
1447064895732
1523d22055b3c
hex12f37ea90b0

1302313210032 has 160 divisors (see below), whose sum is σ = 3586692222720. Its totient is φ = 406023045120.

The previous prime is 1302313210031. The next prime is 1302313210057. The reversal of 1302313210032 is 2300123132031.

It is a junction number, because it is equal to n+sod(n) for n = 1302313209990 and 1302313210008.

It is not an unprimeable number, because it can be changed into a prime (1302313210031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26460807 + ... + 26509977.

It is an arithmetic number, because the mean of its divisors is an integer number (22416826392).

Almost surely, 21302313210032 is an apocalyptic number.

1302313210032 is a gapful number since it is divisible by the number (12) 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 1302313210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793346111360).

1302313210032 is an abundant number, since it is smaller than the sum of its proper divisors (2284379012688).

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

1302313210032 is a wasteful number, since it uses less digits than its factorization.

1302313210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49571 (or 49565 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1302313210032 its reverse (2300123132031), we get a palindrome (3602436342063).

The spelling of 1302313210032 in words is "one trillion, three hundred two billion, three hundred thirteen million, two hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 113 114 152 226 228 257 304 339 452 456 514 678 771 904 912 1028 1356 1542 1808 2056 2147 2712 3084 4112 4294 4883 5424 6168 6441 8588 9766 12336 12882 14649 17176 19532 25764 29041 29298 34352 39064 49171 51528 58082 58596 78128 87123 98342 103056 116164 117192 147513 174246 196684 232328 234384 295026 348492 393368 464656 551779 590052 696984 786736 934249 1103558 1180104 1393968 1655337 1868498 2207116 2360208 2802747 3310674 3736996 4414232 5556323 5605494 6621348 7473992 8828464 11112646 11210988 12636947 13242696 14947984 16668969 22225292 22421976 25273894 26485392 33337938 37910841 44450584 44843952 50547788 66675876 75821682 88901168 101095576 105570137 133351752 151643364 202191152 211140274 240101993 266703504 303286728 316710411 422280548 480203986 606573456 633420822 720305979 844561096 960407972 1266841644 1427975011 1440611958 1689122192 1920815944 2533683288 2855950022 2881223916 3841631888 4283925033 5067366576 5711900044 5762447832 8567850066 11423800088 11524895664 17135700132 22847600176 27131525209 34271400264 54263050418 68542800528 81394575627 108526100836 162789151254 217052201672 325578302508 434104403344 651156605016 1302313210032