Search a number
-
+
41001331121120 = 2551132267772739
BaseRepresentation
bin10010101001010010111011…
…10001101101101111100000
312101011200121021002101200202
421110221131301231233200
520333231211231333440
6223111430153204332
711431151131121246
oct1124513561555740
9171150537071622
1041001331121120
1112078626573a67
1247223baa006a8
1319b5541576626
14a1a691624796
154b181326e615
hex254a5dc6dbe0

41001331121120 has 48 divisors (see below), whose sum is σ = 97722862912080. Its totient is φ = 16255394985984.

The previous prime is 41001331121119. The next prime is 41001331121123. The reversal of 41001331121120 is 2112113310014.

It is a super-2 number, since 2×410013311211202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41001331121092 and 41001331121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001331121123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1133868290 + ... + 1133904449.

It is an arithmetic number, because the mean of its divisors is an integer number (2035892977335).

Almost surely, 241001331121120 is an apocalyptic number.

41001331121120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41001331121120 is an abundant number, since it is smaller than the sum of its proper divisors (56721531790960).

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

41001331121120 is a wasteful number, since it uses less digits than its factorization.

41001331121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267772867 (or 2267772859 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 41001331121120 its reverse (2112113310014), we get a palindrome (43113444431134).

The spelling of 41001331121120 in words is "forty-one trillion, one billion, three hundred thirty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 18080 2267772739 4535545478 9071090956 11338863695 18142181912 22677727390 36284363824 45355454780 72568727648 90710909560 181421819120 256258319507 362843638240 512516639014 1025033278028 1281291597535 2050066556056 2562583195070 4100133112112 5125166390140 8200266224224 10250332780280 20500665560560 41001331121120