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11341401100 = 22525310121187
BaseRepresentation
bin10101001000000000…
…00000110000001100
31002021101211212111121
422210000000300030
5141211344313400
65113221330324
7551023214221
oct124400006014
932241755447
1011341401100
11489aa1a567
1222462669a4
1310b988c933
1479837d948
15465a2a21a
hex2a4000c0c

11341401100 has 72 divisors (see below), whose sum is σ = 25324660368. Its totient is φ = 4406688000.

The previous prime is 11341401023. The next prime is 11341401133. The reversal of 11341401100 is 110414311.

It is a super-2 number, since 2×113414011002 (a number of 21 digits) contains 22 as substring.

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, 524707 + ... + 545893.

It is an arithmetic number, because the mean of its divisors is an integer number (351731394).

Almost surely, 211341401100 is an apocalyptic number.

11341401100 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 11341401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12662330184).

11341401100 is an abundant number, since it is smaller than the sum of its proper divisors (13983259268).

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

11341401100 is a wasteful number, since it uses less digits than its factorization.

11341401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21355 (or 21348 counting only the distinct ones).

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

Adding to 11341401100 its reverse (110414311), we get a palindrome (11451815411).

The spelling of 11341401100 in words is "eleven billion, three hundred forty-one million, four hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 101 106 202 212 265 404 505 530 1010 1060 1325 2020 2525 2650 5050 5300 5353 10100 10706 21187 21412 26765 42374 53530 84748 105935 107060 133825 211870 267650 423740 529675 535300 1059350 1122911 2118700 2139887 2245822 4279774 4491644 5614555 8559548 10699435 11229110 21398870 22458220 28072775 42797740 53497175 56145550 106994350 112291100 113414011 213988700 226828022 453656044 567070055 1134140110 2268280220 2835350275 5670700550 11341401100