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11341110100 = 2252674433821
BaseRepresentation
bin10101000111111101…
…11001101101010100
31002021101022002022211
422203332321231110
5141211311010400
65113211203204
7551020562635
oct124376715524
932241262284
1011341110100
11489a840971
122246146504
1310b97ba348
1479830588c
154659bddba
hex2a3fb9b54

11341110100 has 72 divisors (see below), whose sum is σ = 25040459808. Its totient is φ = 4457481600.

The previous prime is 11341110083. The next prime is 11341110161. The reversal of 11341110100 is 101114311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2966190 + ... + 2970010.

It is an arithmetic number, because the mean of its divisors is an integer number (347784164).

Almost surely, 211341110100 is an apocalyptic number.

11341110100 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 11341110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520229904).

11341110100 is an abundant number, since it is smaller than the sum of its proper divisors (13699349708).

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

11341110100 is a wasteful number, since it uses less digits than its factorization.

11341110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11341110100 its reverse (101114311), we get a palindrome (11442224411).

The spelling of 11341110100 in words is "eleven billion, three hundred forty-one million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 443 670 886 1340 1675 1772 2215 3350 3821 4430 6700 7642 8860 11075 15284 19105 22150 29681 38210 44300 59362 76420 95525 118724 148405 191050 256007 296810 382100 512014 593620 742025 1024028 1280035 1484050 1692703 2560070 2968100 3385406 5120140 6400175 6770812 8463515 12800350 16927030 25600700 33854060 42317575 84635150 113411101 169270300 226822202 453644404 567055505 1134111010 2268222020 2835277525 5670555050 11341110100