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100322012313 = 3215793775773
BaseRepresentation
bin101110101101110101…
…0000110110010011001
3100120221121120021002200
41131123222012302121
53120424413343223
6114030504520413
710151034014625
oct1353352066231
9316847507080
10100322012313
1139601184786
1217539780109
1395ca446883
144bd9b24185
152922645a43
hex175ba86c99

100322012313 has 24 divisors (see below), whose sum is σ = 145990128648. Its totient is φ = 66383546112.

The previous prime is 100322012311. The next prime is 100322012339. The reversal of 100322012313 is 313210223001.

It can be written as a sum of positive squares in 4 ways, for example, as 11477479689 + 88844532624 = 107133^2 + 298068^2 .

It is not a de Polignac number, because 100322012313 - 21 = 100322012311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100322012311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1286095 + ... + 1361867.

It is an arithmetic number, because the mean of its divisors is an integer number (6082922027).

Almost surely, 2100322012313 is an apocalyptic number.

It is an amenable number.

100322012313 is a deficient number, since it is larger than the sum of its proper divisors (45668116335).

100322012313 is a wasteful number, since it uses less digits than its factorization.

100322012313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76873 (or 76870 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100322012313 its reverse (313210223001), we get a palindrome (413532235314).

The spelling of 100322012313 in words is "one hundred billion, three hundred twenty-two million, twelve thousand, three hundred thirteen".

Divisors: 1 3 9 157 471 937 1413 2811 8433 75773 147109 227319 441327 681957 1323981 11896361 35689083 70999301 107067249 212997903 638993709 11146890257 33440670771 100322012313