Search a number
-
+
132130100001000 = 23353139316858753
BaseRepresentation
bin11110000010101111101111…
…101011001011100011101000
3122022211111212211221221221110
4132002233233223023203220
5114304304421100013000
61145003421401310320
736555041024032143
oct3602575753134350
9568744784857843
10132130100001000
113911207390a3a2
121299b8471953a0
135895a7963516a
14248b1b950905a
15104201908e850
hex782befacb8e8

132130100001000 has 128 divisors (see below), whose sum is σ = 415211711241600. Its totient is φ = 34981206220800.

The previous prime is 132130100000999. The next prime is 132130100001017. The reversal of 132130100001000 is 100001031231.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 158012377 + ... + 158846376.

It is an arithmetic number, because the mean of its divisors is an integer number (3243841494075).

Almost surely, 2132130100001000 is an apocalyptic number.

132130100001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132130100001000 is an abundant number, since it is smaller than the sum of its proper divisors (283081611240600).

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

132130100001000 is a wasteful number, since it uses less digits than its factorization.

132130100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316858916 (or 316858902 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 132130100001000 its reverse (100001031231), we get a palindrome (132230101032231).

The spelling of 132130100001000 in words is "one hundred thirty-two trillion, one hundred thirty billion, one hundred million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 139 150 200 250 278 300 375 417 500 556 600 695 750 834 1000 1112 1390 1500 1668 2085 2780 3000 3336 3475 4170 5560 6950 8340 10425 13900 16680 17375 20850 27800 34750 41700 52125 69500 83400 104250 139000 208500 417000 316858753 633717506 950576259 1267435012 1584293765 1901152518 2534870024 3168587530 3802305036 4752881295 6337175060 7604610072 7921468825 9505762590 12674350120 15842937650 19011525180 23764406475 31685875300 38023050360 39607344125 44043366667 47528812950 63371750600 79214688250 88086733334 95057625900 118822032375 132130100001 158429376500 176173466668 190115251800 220216833335 237644064750 264260200002 316858753000 352346933336 440433666670 475288129500 528520400004 660650500005 880867333340 950576259000 1057040800008 1101084166675 1321301000010 1761734666680 2202168333350 2642602000020 3303252500025 4404336666700 5285204000040 5505420833375 6606505000050 8808673333400 11010841666750 13213010000100 16516262500125 22021683333500 26426020000200 33032525000250 44043366667000 66065050000500 132130100001000