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130130323312 = 241123292833917
BaseRepresentation
bin111100100110001011…
…1110010011101110000
3110102220000011100121011
41321030113302131300
54113001330321222
6135440412240304
712254515332463
oct1711427623560
9412800140534
10130130323312
11502081a1a50
1221278470094
13c36aba4512
1464269112da
1535b9507c77
hex1e4c5f2770

130130323312 has 160 divisors (see below), whose sum is σ = 298028782080. Its totient is φ = 54420495360.

The previous prime is 130130323261. The next prime is 130130323409. The reversal of 130130323312 is 213323031031.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 33219978 + ... + 33223894.

It is an arithmetic number, because the mean of its divisors is an integer number (1862679888).

Almost surely, 2130130323312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130130323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149014391040).

130130323312 is an abundant number, since it is smaller than the sum of its proper divisors (167898458768).

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

130130323312 is a wasteful number, since it uses less digits than its factorization.

130130323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 130130323312 its reverse (213323031031), we get a palindrome (343453354343).

The spelling of 130130323312 in words is "one hundred thirty billion, one hundred thirty million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 29 44 46 58 88 92 116 176 184 232 253 283 319 368 464 506 566 638 667 1012 1132 1276 1334 2024 2264 2552 2668 3113 3917 4048 4528 5104 5336 6226 6509 7337 7834 8207 10672 12452 13018 14674 15668 16414 24904 26036 29348 31336 32828 43087 49808 52072 58696 62672 65656 71599 86174 90091 90277 104144 113593 117392 131312 143198 172348 180182 180554 188761 227186 286396 344696 360364 361108 377522 454372 572792 689392 720728 722216 755044 908744 991001 1108511 1145584 1249523 1441456 1444432 1510088 1817488 1982002 2076371 2217022 2499046 2612639 3020176 3964004 4152742 4434044 4998092 5225278 7928008 8305484 8868088 9996184 10450556 12193621 15856016 16610968 17736176 19992368 20901112 24387242 25495753 28739029 32146819 33221936 41802224 48774484 50991506 57478058 64293638 97548968 101983012 114956116 128587276 195097936 203966024 229912232 257174552 280453283 353615009 407932048 459824464 514349104 560906566 707230018 739376837 1121813132 1414460036 1478753674 2243626264 2828920072 2957507348 4487252528 5657840144 5915014696 8133145207 11830029392 16266290414 32532580828 65065161656 130130323312