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130333011300 = 2232521091328573
BaseRepresentation
bin111100101100001110…
…0111110110101100100
3110110102010112222020200
41321120130332311210
54113410222330200
6135512452430500
712262526213532
oct1713034766544
9413363488220
10130333011300
1150301650488
1221314318430
13c3a0b9013b
1464457d3152
1535cc1e3800
hex1e5873ed64

130333011300 has 108 divisors (see below), whose sum is σ = 412269797940. Its totient is φ = 34436586240.

The previous prime is 130333011299. The next prime is 130333011311. The reversal of 130333011300 is 3110333031.

130333011300 is a `hidden beast` number, since 1 + 30 + 3 + 330 + 1 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2146098276 + 128186913024 = 46326^2 + 358032^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 566187 + ... + 762386.

Almost surely, 2130333011300 is an apocalyptic number.

130333011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130333011300 is an abundant number, since it is smaller than the sum of its proper divisors (281936786640).

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

130333011300 is a wasteful number, since it uses less digits than its factorization.

130333011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328702 (or 1328692 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 130333011300 its reverse (3110333031), we get a palindrome (133443344331).

The spelling of 130333011300 in words is "one hundred thirty billion, three hundred thirty-three million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 109 150 180 218 225 300 327 436 450 545 654 900 981 1090 1308 1635 1962 2180 2725 3270 3924 4905 5450 6540 8175 9810 10900 16350 19620 24525 32700 49050 98100 1328573 2657146 3985719 5314292 6642865 7971438 11957157 13285730 15942876 19928595 23914314 26571460 33214325 39857190 47828628 59785785 66428650 79714380 99642975 119571570 132857300 144814457 199285950 239143140 289628914 298928925 398571900 434443371 579257828 597857850 724072285 868886742 1195715700 1303330113 1448144570 1737773484 2172216855 2606660226 2896289140 3620361425 4344433710 5213320452 6516650565 7240722850 8688867420 10861084275 13033301130 14481445700 21722168550 26066602260 32583252825 43444337100 65166505650 130333011300