Search a number
-
+
130701312 = 2113271013
BaseRepresentation
bin1111100101001…
…01100000000000
3100002221022111100
413302211200000
5231424420222
620545214400
73144641250
oct762454000
9302838440
10130701312
1167860915
1237931400
1321102a71
1413503960
15b71b4ac
hex7ca5800

130701312 has 144 divisors (see below), whose sum is σ = 431842320. Its totient is φ = 37306368.

The previous prime is 130701299. The next prime is 130701331. The reversal of 130701312 is 213107031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128518 + ... + 129530.

It is an arithmetic number, because the mean of its divisors is an integer number (2998905).

Almost surely, 2130701312 is an apocalyptic number.

130701312 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 130701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215921160).

130701312 is an abundant number, since it is smaller than the sum of its proper divisors (301141008).

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

130701312 is a wasteful number, since it uses less digits than its factorization.

130701312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 130701312 is about 11432.4674502051. The cubic root of 130701312 is about 507.4890185042.

Adding to 130701312 its reverse (213107031), we get a palindrome (343808343).

The spelling of 130701312 in words is "one hundred thirty million, seven hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1013 1024 1152 1344 1536 1792 2016 2026 2048 2304 2688 3039 3072 3584 4032 4052 4608 5376 6078 6144 7091 7168 8064 8104 9117 9216 10752 12156 14182 14336 16128 16208 18234 18432 21273 21504 24312 28364 32256 32416 36468 42546 43008 48624 56728 63819 64512 64832 72936 85092 97248 113456 127638 129024 129664 145872 170184 194496 226912 255276 259328 291744 340368 388992 453824 510552 518656 583488 680736 777984 907648 1021104 1037312 1166976 1361472 1555968 1815296 2042208 2074624 2333952 2722944 3111936 3630592 4084416 4667904 5445888 6223872 7261184 8168832 9335808 10891776 14522368 16337664 18671616 21783552 32675328 43567104 65350656 130701312