Search a number
-
+
1303213322100 = 2235210873996361
BaseRepresentation
bin10010111101101101100…
…100010010111101110100
311121120211011210010110210
4102331231210102331310
5132322440102301400
62434404332145420
7163103561315364
oct22755544227564
94546734703423
101303213322100
11462764a44698
121906a3608270
1395b7aa4b971
144710c2409a4
1523d760a5950
hex12f6d912f74

1303213322100 has 72 divisors (see below), whose sum is σ = 3774100331008. Its totient is φ = 347203756800.

The previous prime is 1303213322063. The next prime is 1303213322107. The reversal of 1303213322100 is 12233123031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303213322107) 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 23 ways as a sum of consecutive naturals, for example, 1672081 + ... + 2324280.

Almost surely, 21303213322100 is an apocalyptic number.

1303213322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1303213322100 is an abundant number, since it is smaller than the sum of its proper divisors (2470887008908).

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

1303213322100 is a wasteful number, since it uses less digits than its factorization.

1303213322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997465 (or 3997458 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1303213322100 its reverse (12233123031), we get a palindrome (1315446445131).

The spelling of 1303213322100 in words is "one trillion, three hundred three billion, two hundred thirteen million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1087 2174 3261 4348 5435 6522 10870 13044 16305 21740 27175 32610 54350 65220 81525 108700 163050 326100 3996361 7992722 11989083 15985444 19981805 23978166 39963610 47956332 59945415 79927220 99909025 119890830 199818050 239781660 299727075 399636100 599454150 1198908300 4344044407 8688088814 13032133221 17376177628 21720222035 26064266442 43440444070 52128532884 65160666105 86880888140 108601110175 130321332210 217202220350 260642664420 325803330525 434404440700 651606661050 1303213322100