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130333110219 = 32132395099157
BaseRepresentation
bin111100101100001110…
…1010110111111001011
3110110102010201222221100
41321120131112333023
54113410234011334
6135512454512443
712262530105114
oct1713035267713
9413363658840
10130333110219
1150301708834
1221314365723
13c3a0bc6180
14644581b20b
1535cc212c99
hex1e58756fcb

130333110219 has 48 divisors (see below), whose sum is σ = 204010934400. Its totient is φ = 79703785728.

The previous prime is 130333110203. The next prime is 130333110221. The reversal of 130333110219 is 912011333031.

130333110219 is a `hidden beast` number, since 1 + 3 + 0 + 333 + 110 + 219 = 666.

It is not a de Polignac number, because 130333110219 - 24 = 130333110203 is a prime.

It is a super-2 number, since 2×1303331102192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130333110192 and 130333110201.

It is not an unprimeable number, because it can be changed into a prime (130333110119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14228589 + ... + 14237745.

It is an arithmetic number, because the mean of its divisors is an integer number (4250227800).

Almost surely, 2130333110219 is an apocalyptic number.

130333110219 is a deficient number, since it is larger than the sum of its proper divisors (73677824181).

130333110219 is a wasteful number, since it uses less digits than its factorization.

130333110219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9924 (or 9921 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 130333110219 in words is "one hundred thirty billion, three hundred thirty-three million, one hundred ten thousand, two hundred nineteen".

Divisors: 1 3 9 13 39 117 239 509 717 1527 2151 3107 4581 6617 9157 9321 19851 27471 27963 59553 82413 119041 121651 357123 364953 1071369 1094859 1581463 2188523 4660913 4744389 6565569 13982739 14233167 19696707 28450799 41948217 60591869 85352397 181775607 256057191 545326821 1113958207 3341874621 10025623863 14481456691 43444370073 130333110219