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224130122032100 = 22526084013683921
BaseRepresentation
bin110010111101100001011100…
…010011101010001111100100
31002101120122000120100101100112
4302331201130103222033210
5213334121442220011400
62112403542344232152
765131603235353604
oct6275413423521744
91071518016311315
10224130122032100
1165462061910659
1221179b0446b658
13980a4c25cb9bb
143d4bd54974c04
151ada2137eb835
hexcbd85c4ea3e4

224130122032100 has 36 divisors (see below), whose sum is σ = 486363296243748. Its totient is φ = 89651877120000.

The previous prime is 224130122031961. The next prime is 224130122032109. The reversal of 224130122032100 is 1230221031422.

It can be written as a sum of positive squares in 6 ways, for example, as 44913694325824 + 179216427706276 = 6701768^2 + 13387174^2 .

It is not an unprimeable number, because it can be changed into a prime (224130122032109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58998140 + ... + 62682060.

Almost surely, 2224130122032100 is an apocalyptic number.

224130122032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224130122032100 is an abundant number, since it is smaller than the sum of its proper divisors (262233174211648).

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

224130122032100 is a wasteful number, since it uses less digits than its factorization.

224130122032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292336 (or 4292329 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 224130122032100 its reverse (1230221031422), we get a palindrome (225360343063522).

The spelling of 224130122032100 in words is "two hundred twenty-four trillion, one hundred thirty billion, one hundred twenty-two million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 608401 1216802 2433604 3042005 3683921 6084010 7367842 12168020 14735684 15210025 18419605 30420050 36839210 60840100 73678420 92098025 184196050 368392100 2241301220321 4482602440642 8965204881284 11206506101605 22413012203210 44826024406420 56032530508025 112065061016050 224130122032100