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133113443300 = 225219214092617
BaseRepresentation
bin111101111111000101…
…1011111001111100100
3110201120220102112220122
41323332023133033210
54140104020141200
6141052415021112
712421450412345
oct1737613371744
9421526375818
10133113443300
11514a9083172
122196b50a798
13c724c28786
14662aba20cc
1536e1365385
hex1efe2df3e4

133113443300 has 108 divisors (see below), whose sum is σ = 305192224260. Its totient is φ = 50387927040.

The previous prime is 133113443297. The next prime is 133113443311. The reversal of 133113443300 is 3344311331.

It can be written as a sum of positive squares in 6 ways, for example, as 3532162624 + 129581280676 = 59432^2 + 359974^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133113443300.

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, 50863592 + ... + 50866208.

Almost surely, 2133113443300 is an apocalyptic number.

133113443300 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 133113443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152596112130).

133113443300 is an abundant number, since it is smaller than the sum of its proper divisors (172078780960).

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

133113443300 is a wasteful number, since it uses less digits than its factorization.

133113443300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 133113443300 its reverse (3344311331), we get a palindrome (136457754631).

The spelling of 133113443300 in words is "one hundred thirty-three billion, one hundred thirteen million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1409 1444 1805 1900 2617 2818 3610 5234 5636 7045 7220 9025 10468 13085 14090 18050 26170 26771 28180 35225 36100 49723 52340 53542 65425 70450 99446 107084 130850 133855 140900 198892 248615 261700 267710 497230 508649 535420 669275 944737 994460 1017298 1243075 1338550 1889474 2034596 2486150 2543245 2677100 3687353 3778948 4723685 4972300 5086490 7374706 9447370 10172980 12716225 14749412 18436765 18894740 23618425 25432450 36873530 47236850 50864900 70059707 73747060 92183825 94473700 140119414 184367650 280238828 350298535 368735300 700597070 1331134433 1401194140 1751492675 2662268866 3502985350 5324537732 6655672165 7005970700 13311344330 26622688660 33278360825 66556721650 133113443300