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130322010312 = 233213711961027
BaseRepresentation
bin111100101011111001…
…1000001000011001000
3110110101100212001201200
41321113303001003020
54113344413312222
6135511420544200
712262333544634
oct1712763010310
9413340761650
10130322010312
11502a641725a
12213106b2060
13c39b80aa90
14644416bdc4
1535cb26deac
hex1e57cc10c8

130322010312 has 96 divisors (see below), whose sum is σ = 385459663680. Its totient is φ = 39534284160.

The previous prime is 130322010307. The next prime is 130322010341. The reversal of 130322010312 is 213010223031.

130322010312 is a `hidden beast` number, since 1 + 30 + 322 + 0 + 1 + 0 + 312 = 666.

It is a super-3 number, since 3×1303220103123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914058 + ... + 1046969.

It is an arithmetic number, because the mean of its divisors is an integer number (4015204830).

Almost surely, 2130322010312 is an apocalyptic number.

130322010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130322010312 is an abundant number, since it is smaller than the sum of its proper divisors (255137653368).

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

130322010312 is a wasteful number, since it uses less digits than its factorization.

130322010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961123 (or 1961116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130322010312 its reverse (213010223031), we get a palindrome (343332233343).

The spelling of 130322010312 in words is "one hundred thirty billion, three hundred twenty-two million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 71 72 78 104 117 142 156 213 234 284 312 426 468 568 639 852 923 936 1278 1704 1846 2556 2769 3692 5112 5538 7384 8307 11076 16614 22152 33228 66456 1961027 3922054 5883081 7844108 11766162 15688216 17649243 23532324 25493351 35298486 47064648 50986702 70596972 76480053 101973404 139232917 141193944 152960106 203946808 229440159 278465834 305920212 417698751 458880318 556931668 611840424 835397502 917760636 1113863336 1253096253 1670795004 1810027921 1835521272 2506192506 3341590008 3620055842 5012385012 5430083763 7240111684 10024770024 10860167526 14480223368 16290251289 21720335052 32580502578 43440670104 65161005156 130322010312