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103212223101 = 3213882155753
BaseRepresentation
bin110000000011111101…
…1011000101001111101
3100212102001000011221200
41200013323120221331
53142334312114401
6115225352050113
710312460264301
oct1400773305175
9325361004850
10103212223101
113a854677939
1218005693939
13996b16a980
144dd190bd01
152a4124e686
hex1807ed8a7d

103212223101 has 12 divisors (see below), whose sum is σ = 160552347228. Its totient is φ = 63515214144.

The previous prime is 103212223087. The next prime is 103212223139. The reversal of 103212223101 is 101322212301.

103212223101 is a `hidden beast` number, since 10 + 321 + 2 + 22 + 310 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7378638201 + 95833584900 = 85899^2 + 309570^2 .

It is not a de Polignac number, because 103212223101 - 223 = 103203834493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212223141) 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, 441077760 + ... + 441077993.

It is an arithmetic number, because the mean of its divisors is an integer number (13379362269).

Almost surely, 2103212223101 is an apocalyptic number.

It is an amenable number.

103212223101 is a deficient number, since it is larger than the sum of its proper divisors (57340124127).

103212223101 is a wasteful number, since it uses less digits than its factorization.

103212223101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882155772 (or 882155769 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103212223101 its reverse (101322212301), we get a palindrome (204534435402).

The spelling of 103212223101 in words is "one hundred three billion, two hundred twelve million, two hundred twenty-three thousand, one hundred one".

Divisors: 1 3 9 13 39 117 882155753 2646467259 7939401777 11468024789 34404074367 103212223101