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103212212430404 = 227111073181984539
BaseRepresentation
bin10111011101111011110111…
…010000100010011001000100
3111112102222202112201020022102
4113131323313100202121010
5102012012102340233104
61003303011423051232
730511556561245610
oct2735736720423104
9445388675636272
10103212212430404
112a9830651a8840
12b6ab275140b18
134578b4014699c
141b6b6d7b04340
15bdebbe6baa1e
hex5ddef7422644

103212212430404 has 96 divisors (see below), whose sum is σ = 227366548577280. Its totient is φ = 39824168284800.

The previous prime is 103212212430391. The next prime is 103212212430407. The reversal of 103212212430404 is 404034212212301.

It is not an unprimeable number, because it can be changed into a prime (103212212430407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104340767 + ... + 105325305.

It is an arithmetic number, because the mean of its divisors is an integer number (2368401547680).

Almost surely, 2103212212430404 is an apocalyptic number.

103212212430404 is a gapful number since it is divisible by the number (14) 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 103212212430404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113683274288640).

103212212430404 is an abundant number, since it is smaller than the sum of its proper divisors (124154336146876).

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

103212212430404 is a wasteful number, since it uses less digits than its factorization.

103212212430404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987849 (or 987847 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 103212212430404 its reverse (404034212212301), we get a palindrome (507246424642705).

The spelling of 103212212430404 in words is "one hundred three trillion, two hundred twelve billion, two hundred twelve million, four hundred thirty thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 154 214 308 428 749 1177 1498 2354 2996 3181 4708 6362 8239 12724 16478 22267 32956 34991 44534 69982 89068 139964 244937 340367 489874 680734 979748 984539 1361468 1969078 2382569 3744037 3938156 4765138 6891773 7488074 9530276 10829929 13783546 14976148 21659858 26208259 27567092 43319716 52416518 75809503 104833036 105345673 151619006 210691346 303238012 421382692 737419711 1158802403 1474839422 2317604806 2949678844 3131818559 4635209612 6263637118 8111616821 12527274236 16223233642 21922729913 32446467284 34450004149 43845459826 68900008298 87690919652 137800016596 241150029043 335104585813 482300058086 670209171626 964600116172 1340418343252 2345732100691 3686150443943 4691464201382 7372300887886 9382928402764 14744601775772 25803053107601 51606106215202 103212212430404