Search a number
-
+
41212023100 = 225231131910079
BaseRepresentation
bin100110011000011011…
…011001000100111100
310221101010200200121221
4212120123121010330
51133400234214400
630533232403124
72656162262563
oct463033310474
9127333620557
1041212023100
1116529126a26
127ba19a64a4
133b6a1c63b1
141dcd54abda
1511130e9c1a
hex9986d913c

41212023100 has 72 divisors (see below), whose sum is σ = 92394086400. Its totient is φ = 15939364800.

The previous prime is 41212023089. The next prime is 41212023103. The reversal of 41212023100 is 132021214.

It is a super-2 number, since 2×412120231002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41212023103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4083861 + ... + 4093939.

It is an arithmetic number, because the mean of its divisors is an integer number (1283251200).

Almost surely, 241212023100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41212023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46197043200).

41212023100 is an abundant number, since it is smaller than the sum of its proper divisors (51182063300).

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

41212023100 is a wasteful number, since it uses less digits than its factorization.

41212023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11443 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 41212023100 its reverse (132021214), we get a palindrome (41344044314).

The spelling of 41212023100 in words is "forty-one billion, two hundred twelve million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1319 1550 2638 3100 5276 6595 10079 13190 20158 26380 32975 40316 40889 50395 65950 81778 100790 131900 163556 201580 204445 251975 312449 408890 503950 624898 817780 1007900 1022225 1249796 1562245 2044450 3124490 4088900 6248980 7811225 13294201 15622450 26588402 31244900 53176804 66471005 132942010 265884020 332355025 412120231 664710050 824240462 1329420100 1648480924 2060601155 4121202310 8242404620 10303005775 20606011550 41212023100