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1341141100 = 2252131576571
BaseRepresentation
bin100111111110000…
…0011000001101100
310110110121000201121
41033330003001230
510221313003400
6341025150324
745143340235
oct11774030154
93413530647
101341141100
11629048182
1231518b3a4
13184b11020
14ca19008c
157cb1a21a
hex4ff0306c

1341141100 has 72 divisors (see below), whose sum is σ = 3154586288. Its totient is φ = 491961600.

The previous prime is 1341141073. The next prime is 1341141107. The reversal of 1341141100 is 11411431.

1341141100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1341141107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200815 + ... + 207385.

Almost surely, 21341141100 is an apocalyptic number.

1341141100 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 1341141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577293144).

1341141100 is an abundant number, since it is smaller than the sum of its proper divisors (1813445188).

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

1341141100 is a wasteful number, since it uses less digits than its factorization.

1341141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6755 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1341141100 is about 36621.5933569254. The cubic root of 1341141100 is about 1102.7866261486.

Adding to 1341141100 its reverse (11411431), we get a palindrome (1352552531).

The spelling of 1341141100 in words is "one billion, three hundred forty-one million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 157 260 314 325 628 650 785 1300 1570 2041 3140 3925 4082 6571 7850 8164 10205 13142 15700 20410 26284 32855 40820 51025 65710 85423 102050 131420 164275 170846 204100 328550 341692 427115 657100 854230 1031647 1708460 2063294 2135575 4126588 4271150 5158235 8542300 10316470 13411411 20632940 25791175 26822822 51582350 53645644 67057055 103164700 134114110 268228220 335285275 670570550 1341141100