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12223432404100 = 22523116932329027
BaseRepresentation
bin1011000111011111110101…
…0110001010110010000100
31121021112211000120020210101
42301313331112022302010
53100232042143412400
641555211201533444
72401054023061321
oct261677526126204
947245730506711
1012223432404100
113992a23a23025
121454b96944284
136a8884546818
1430388db89b48
15162e5d61956a
hexb1dfd58ac84

12223432404100 has 72 divisors (see below), whose sum is σ = 27396673111808. Its totient is φ = 4728854390400.

The previous prime is 12223432404083. The next prime is 12223432404199. The reversal of 12223432404100 is 140423432221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4083787 + ... + 6412813.

Almost surely, 212223432404100 is an apocalyptic number.

12223432404100 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 12223432404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698336555904).

12223432404100 is an abundant number, since it is smaller than the sum of its proper divisors (15173240707708).

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

12223432404100 is a wasteful number, since it uses less digits than its factorization.

12223432404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330765 (or 2330758 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12223432404100 its reverse (140423432221), we get a palindrome (12363855836321).

The spelling of 12223432404100 in words is "twelve trillion, two hundred twenty-three billion, four hundred thirty-two million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 1693 3100 3386 6772 8465 16930 33860 42325 52483 84650 104966 169300 209932 262415 524830 1049660 1312075 2329027 2624150 4658054 5248300 9316108 11645135 23290270 46580540 58225675 72199837 116451350 144399674 232902700 288799348 360999185 721998370 1443996740 1804995925 3609991850 3943042711 7219983700 7886085422 15772170844 19715213555 39430427110 78860854220 98576067775 122234324041 197152135550 244468648082 394304271100 488937296164 611171620205 1222343240410 2444686480820 3055858101025 6111716202050 12223432404100