Search a number
-
+
130303430301 = 3111983297311
BaseRepresentation
bin111100101011010110…
…0001000111010011101
3110110100001220002202010
41321112230020322131
54113330134232201
6135505514421433
712262016611542
oct1712654107235
9413301802663
10130303430301
1150296986880
1221306431879
13c397a03aa5
1464418d2bc9
1535c97edbd6
hex1e56b08e9d

130303430301 has 96 divisors (see below), whose sum is σ = 204678190080. Its totient is φ = 72916761600.

The previous prime is 130303430297. The next prime is 130303430311. The reversal of 130303430301 is 103034303031.

It is not a de Polignac number, because 130303430301 - 22 = 130303430297 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130303430311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418981936 + ... + 418982246.

It is an arithmetic number, because the mean of its divisors is an integer number (2132064480).

Almost surely, 2130303430301 is an apocalyptic number.

130303430301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130303430301 is a deficient number, since it is larger than the sum of its proper divisors (74374759779).

130303430301 is a wasteful number, since it uses less digits than its factorization.

130303430301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 130303430301 its reverse (103034303031), we get a palindrome (233337733332).

The spelling of 130303430301 in words is "one hundred thirty billion, three hundred three million, four hundred thirty thousand, three hundred one".

Divisors: 1 3 11 19 33 57 83 97 209 249 291 311 627 913 933 1067 1577 1843 2739 3201 3421 4731 5529 5909 6889 8051 10263 17347 17727 20273 20667 24153 25813 30167 52041 60819 64999 75779 77439 88561 90501 130891 152969 194997 227337 265683 283943 331837 392673 458907 490447 573173 668233 851829 995511 1439801 1471341 1682659 1719519 2004699 2142479 2503861 4319403 5047977 5394917 6304903 6427437 7350563 7511583 12696427 16184751 18914709 22051689 23567269 27542471 38089281 40707101 47573359 70701807 82627413 122121303 139660697 142720077 207820463 418982091 447778111 523306949 623461389 1343334333 1569920847 2286025093 3948588797 6858075279 11845766391 43434476767 130303430301