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41121213100 = 225211190719603
BaseRepresentation
bin100110010011000000…
…111110101010101100
310221010210211001201121
4212103000332222230
51133204012304400
630520230150324
72654010354442
oct462300765254
9127123731647
1041121213100
1116491942040
127b774b23a4
133b5444c876
141dc146cb92
15110a15d21a
hex99303eaac

41121213100 has 72 divisors (see below), whose sum is σ = 97401140928. Its totient is φ = 14944564800.

The previous prime is 41121213061. The next prime is 41121213101. The reversal of 41121213100 is 131212114.

It is a super-2 number, since 2×411212131002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41121213101) 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, 2087899 + ... + 2107501.

It is an arithmetic number, because the mean of its divisors is an integer number (1352793624).

Almost surely, 241121213100 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 41121213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48700570464).

41121213100 is an abundant number, since it is smaller than the sum of its proper divisors (56279927828).

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

41121213100 is a wasteful number, since it uses less digits than its factorization.

41121213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21535 (or 21528 counting only the distinct ones).

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

Adding to 41121213100 its reverse (131212114), we get a palindrome (41252425214).

The spelling of 41121213100 in words is "forty-one billion, one hundred twenty-one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1907 3814 7628 9535 19070 19603 20977 38140 39206 41954 47675 78412 83908 95350 98015 104885 190700 196030 209770 215633 392060 419540 431266 490075 524425 862532 980150 1048850 1078165 1960300 2097700 2156330 4312660 5390825 10781650 21563300 37382921 74765842 149531684 186914605 373829210 411212131 747658420 822424262 934573025 1644848524 1869146050 2056060655 3738292100 4112121310 8224242620 10280303275 20560606550 41121213100