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1332130333100 = 2252717961717231
BaseRepresentation
bin10011011000101001001…
…001111100000110101100
311201100110110020111020012
4103120221021330012230
5133311200331124400
62455550000112352
7165146301001040
oct23305111740654
94640413214205
101332130333100
11473a53931a96
121962139056b8
139880893ab68
14486928d8020
15249b9aa8d35
hex1362927c1ac

1332130333100 has 144 divisors (see below), whose sum is σ = 3327717012480. Its totient is φ = 453416409600.

The previous prime is 1332130333087. The next prime is 1332130333109. The reversal of 1332130333100 is 13330312331.

It is a super-2 number, since 2×13321303331002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1332130333109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77301485 + ... + 77318715.

It is an arithmetic number, because the mean of its divisors is an integer number (23109145920).

Almost surely, 21332130333100 is an apocalyptic number.

1332130333100 is a gapful number since it is divisible by the number (10) 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 1332130333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663858506240).

1332130333100 is an abundant number, since it is smaller than the sum of its proper divisors (1995586679380).

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

1332130333100 is a wasteful number, since it uses less digits than its factorization.

1332130333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18048 (or 18041 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 1332130333100 its reverse (13330312331), we get a palindrome (1345460645431).

The spelling of 1332130333100 in words is "one trillion, three hundred thirty-two billion, one hundred thirty million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 179 350 358 617 700 716 895 1234 1253 1790 2468 2506 3085 3580 4319 4475 5012 6170 6265 8638 8950 12340 12530 15425 17231 17276 17900 21595 25060 30850 31325 34462 43190 61700 62650 68924 86155 86380 107975 110443 120617 125300 172310 215950 220886 241234 344620 430775 431900 441772 482468 552215 603085 773101 861550 1104430 1206170 1546202 1723100 2208860 2412340 2761075 3015425 3084349 3092404 3865505 5522150 6030850 6168698 7731010 10631527 11044300 12061700 12337396 15421745 15462020 19327525 21263054 21590443 30843490 38655050 42526108 43180886 53157635 61686980 74420689 77108725 77310100 86361772 106315270 107952215 148841378 154217450 212630540 215904430 265788175 297682756 308434900 372103445 431808860 531576350 539761075 744206890 1063152700 1079522150 1488413780 1860517225 1903043333 2159044300 3721034450 3806086666 7442068900 7612173332 9515216665 13321303331 19030433330 26642606662 38060866660 47576083325 53285213324 66606516655 95152166650 133213033310 190304333300 266426066620 333032583275 666065166550 1332130333100