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130221331032 = 233131743356701
BaseRepresentation
bin111100101000111001…
…0111101001001011000
3110110010100102000201110
41321101302331021120
54113143130043112
6135453423020320
712260002023222
oct1712162751130
9413110360643
10130221331032
1150254601441
12212a2a3a6a0
13c3839ba040
146434a41412
1535c24d313c
hex1e51cbd258

130221331032 has 128 divisors (see below), whose sum is σ = 372083060160. Its totient is φ = 37623398400.

The previous prime is 130221330961. The next prime is 130221331033. The reversal of 130221331032 is 230133122031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130221331033) 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 31 ways as a sum of consecutive naturals, for example, 2268282 + ... + 2324982.

Almost surely, 2130221331032 is an apocalyptic number.

130221331032 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 130221331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186041530080).

130221331032 is an abundant number, since it is smaller than the sum of its proper divisors (241861729128).

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

130221331032 is a wasteful number, since it uses less digits than its factorization.

130221331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57173 (or 57169 counting only the distinct ones).

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

Adding to 130221331032 its reverse (230133122031), we get a palindrome (360354453063).

The spelling of 130221331032 in words is "one hundred thirty billion, two hundred twenty-one million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 433 442 663 866 884 1299 1326 1732 1768 2598 2652 3464 5196 5304 5629 7361 10392 11258 14722 16887 22083 22516 29444 33774 44166 45032 56701 58888 67548 88332 95693 113402 135096 170103 176664 191386 226804 287079 340206 382772 453608 574158 680412 737113 765544 963917 1148316 1360824 1474226 1927834 2211339 2296632 2891751 2948452 3855668 4422678 5783502 5896904 7711336 8845356 11567004 12530921 17690712 23134008 24551533 25061842 37592763 49103066 50123684 73654599 75185526 98206132 100247368 147309198 150371052 196412264 294618396 300742104 319169929 417376061 589236792 638339858 834752122 957509787 1252128183 1276679716 1669504244 1915019574 2504256366 2553359432 3339008488 3830039148 5008512732 5425888793 7660078296 10017025464 10851777586 16277666379 21703555172 32555332758 43407110344 65110665516 130221331032