Search a number
-
+
1302132321330 = 2351931349211151
BaseRepresentation
bin10010111100101101001…
…000100110110000110010
311121111000211200121012020
4102330231020212300302
5132313231333240310
62434105154412310
7163035024052551
oct22745510466062
94544024617166
101302132321330
1146225a826825
12190441591096
1395a37ac0a39
1447048849d98
1523d11224170
hex12f2d226c32

1302132321330 has 128 divisors (see below), whose sum is σ = 3405459456000. Its totient is φ = 317434464000.

The previous prime is 1302132321313. The next prime is 1302132321337. The reversal of 1302132321330 is 331232312031.

It is a self number, because there is not a number n which added to its sum of digits gives 1302132321330.

It is not an unprimeable number, because it can be changed into a prime (1302132321337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6061255 + ... + 6272405.

It is an arithmetic number, because the mean of its divisors is an integer number (26605152000).

Almost surely, 21302132321330 is an apocalyptic number.

1302132321330 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 1302132321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702729728000).

1302132321330 is an abundant number, since it is smaller than the sum of its proper divisors (2103327134670).

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

1302132321330 is a wasteful number, since it uses less digits than its factorization.

1302132321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211560.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1302132321330 its reverse (331232312031), we get a palindrome (1633364633361).

The spelling of 1302132321330 in words is "one trillion, three hundred two billion, one hundred thirty-two million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 31 38 57 62 93 95 114 155 186 190 285 310 349 465 570 589 698 930 1047 1178 1745 1767 2094 2945 3490 3534 5235 5890 6631 8835 10470 10819 13262 17670 19893 21638 32457 33155 39786 54095 64914 66310 99465 108190 162285 198930 205561 211151 324570 411122 422302 616683 633453 1027805 1055755 1233366 1266906 2055610 2111510 3083415 3167265 4011869 6166830 6334530 6545681 8023738 12035607 13091362 19637043 20059345 24071214 32728405 39274086 40118690 60178035 65456810 73691699 98185215 120356070 124367939 147383398 196370430 221075097 248735878 368458495 373103817 442150194 621839695 736916990 746207634 1105375485 1243679390 1400142281 1865519085 2210750970 2284442669 2800284562 3731038170 4200426843 4568885338 6853328007 7000711405 8400853686 11422213345 13706656014 14001422810 21002134215 22844426690 34266640035 42004268430 43404410711 68533280070 86808821422 130213232133 217022053555 260426464266 434044107110 651066160665 1302132321330