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100212203325 = 35213347296201
BaseRepresentation
bin101110101010100011…
…1001101111100111101
3100120122221221101111010
41131111013031330331
53120213311001300
6114011543145433
710145231450043
oct1352507157475
9316587841433
10100212203325
11395551a3653
1217508a45279
1395b077a440
144bc92dc393
152917ba4a50
hex17551cdf3d

100212203325 has 48 divisors (see below), whose sum is σ = 178943921856. Its totient is φ = 49192896000.

The previous prime is 100212203323. The next prime is 100212203353. The reversal of 100212203325 is 523302212001.

It is not a de Polignac number, because 100212203325 - 21 = 100212203323 is a prime.

It is a super-2 number, since 2×1002122033252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212203323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 190225 + ... + 486425.

It is an arithmetic number, because the mean of its divisors is an integer number (3727998372).

Almost surely, 2100212203325 is an apocalyptic number.

100212203325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100212203325 is a deficient number, since it is larger than the sum of its proper divisors (78731718531).

100212203325 is a wasteful number, since it uses less digits than its factorization.

100212203325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296574 (or 296569 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 100212203325 its reverse (523302212001), we get a palindrome (623514415326).

The spelling of 100212203325 in words is "one hundred billion, two hundred twelve million, two hundred three thousand, three hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 195 325 347 975 1041 1735 4511 5205 8675 13533 22555 26025 67665 112775 296201 338325 888603 1481005 3850613 4443015 7405025 11551839 19253065 22215075 57759195 96265325 102781747 288795975 308345241 513908735 1336162711 1541726205 2569543675 4008488133 6680813555 7708631025 20042440665 33404067775 100212203325