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100203452225 = 5231366119373
BaseRepresentation
bin101110101010010010…
…1110101011101000001
3100120122100110210020022
41131110211311131001
53120204040432400
6114011031423225
710145064201452
oct1352445653501
9316570423208
10100203452225
1139550266838
1217505b24b15
1395aba05186
144bc80a1129
152917026b85
hex1754975741

100203452225 has 24 divisors (see below), whose sum is σ = 124844273592. Its totient is φ = 79781644800.

The previous prime is 100203452221. The next prime is 100203452227. The reversal of 100203452225 is 522254302001.

It can be written as a sum of positive squares in 12 ways, for example, as 55529979904 + 44673472321 = 235648^2 + 211361^2 .

It is not a de Polignac number, because 100203452225 - 22 = 100203452221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100203452194 and 100203452203.

It is not an unprimeable number, because it can be changed into a prime (100203452221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5162639 + ... + 5182011.

It is an arithmetic number, because the mean of its divisors is an integer number (5201844733).

Almost surely, 2100203452225 is an apocalyptic number.

It is an amenable number.

100203452225 is a deficient number, since it is larger than the sum of its proper divisors (24640821367).

100203452225 is a wasteful number, since it uses less digits than its factorization.

100203452225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20357 (or 20352 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 100203452225 its reverse (522254302001), we get a palindrome (622457754226).

The spelling of 100203452225 in words is "one hundred billion, two hundred three million, four hundred fifty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 313 661 1565 3305 7825 16525 19373 96865 206893 484325 1034465 5172325 6063749 12805553 30318745 64027765 151593725 320138825 4008138089 20040690445 100203452225