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130320301332 = 2231319103426871
BaseRepresentation
bin111100101011110110…
…0011111110100010100
3110110101020122020110010
41321113230133310110
54113343444120312
6135511320200220
712262313166324
oct1712754376424
9413336566403
10130320301332
11502a545a281
1221310009070
13c39b35cc50
146443c45284
1535cb03293c
hex1e57b1fd14

130320301332 has 96 divisors (see below), whose sum is σ = 348054353920. Its totient is φ = 37619199360.

The previous prime is 130320301327. The next prime is 130320301367. The reversal of 130320301332 is 233103023031.

It is a junction number, because it is equal to n+sod(n) for n = 130320301299 and 130320301308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91857 + ... + 518727.

Almost surely, 2130320301332 is an apocalyptic number.

130320301332 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 130320301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174027176960).

130320301332 is an abundant number, since it is smaller than the sum of its proper divisors (217734052588).

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

130320301332 is a wasteful number, since it uses less digits than its factorization.

130320301332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427013 (or 427011 counting only the distinct ones).

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

Adding to 130320301332 its reverse (233103023031), we get a palindrome (363423324363).

The spelling of 130320301332 in words is "one hundred thirty billion, three hundred twenty million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 103 114 156 206 228 247 309 412 494 618 741 988 1236 1339 1482 1957 2678 2964 3914 4017 5356 5871 7828 8034 11742 16068 23484 25441 50882 76323 101764 152646 305292 426871 853742 1280613 1707484 2561226 5122452 5549323 8110549 11098646 16221098 16647969 22197292 24331647 32442196 33295938 43967713 48663294 66591876 87935426 97326588 105437137 131903139 175870852 210874274 263806278 316311411 421748548 527612556 571580269 632622822 835386547 1143160538 1265245644 1670773094 1714740807 2286321076 2506159641 3341546188 3429481614 5012319282 6858963228 10024638564 10860025111 21720050222 32580075333 43440100444 65160150666 130320301332