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1341101100 = 2235217439599
BaseRepresentation
bin100111111101111…
…1001010000101100
310110110111222212010
41033323321100230
510221310213400
6341024241220
745143112513
oct11773712054
93413458763
101341101100
11629020119
12315170210
13184ac8a61
14ca17d67a
157cb0d450
hex4fef942c

1341101100 has 144 divisors (see below), whose sum is σ = 4124736000. Its totient is φ = 335262720.

The previous prime is 1341101057. The next prime is 1341101123. The reversal of 1341101100 is 11011431.

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 47 ways as a sum of consecutive naturals, for example, 2238601 + ... + 2239199.

It is an arithmetic number, because the mean of its divisors is an integer number (28644000).

Almost surely, 21341101100 is an apocalyptic number.

1341101100 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 1341101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062368000).

1341101100 is an abundant number, since it is smaller than the sum of its proper divisors (2783634900).

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

1341101100 is a wasteful number, since it uses less digits than its factorization.

1341101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1065 counting only the distinct ones).

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

The square root of 1341101100 is about 36621.0472269704. The cubic root of 1341101100 is about 1102.7756623747.

Adding to 1341101100 its reverse (11011431), we get a palindrome (1352112531).

The spelling of 1341101100 in words is "one billion, three hundred forty-one million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 439 510 599 850 878 1020 1198 1275 1317 1700 1756 1797 2195 2396 2550 2634 2995 3594 4390 5100 5268 5990 6585 7188 7463 8780 8985 10183 10975 11980 13170 14926 14975 17970 20366 21950 22389 26340 29852 29950 30549 32925 35940 37315 40732 43900 44778 44925 50915 59900 61098 65850 74630 89556 89850 101830 111945 122196 131700 149260 152745 179700 186575 203660 223890 254575 262961 305490 373150 447780 509150 525922 559725 610980 746300 763725 788883 1018300 1051844 1119450 1314805 1527450 1577766 2238900 2629610 3054900 3155532 3944415 4470337 5259220 6574025 7888830 8940674 13148050 13411011 15777660 17881348 19722075 22351685 26296100 26822022 39444150 44703370 53644044 67055055 78888300 89406740 111758425 134110110 223516850 268220220 335275275 447033700 670550550 1341101100