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13212233330103 = 3347103909111119
BaseRepresentation
bin1100000001000011011001…
…1110010110110110110111
31201210002002020221202212000
43000100312132112312313
53212432123213030403
644033341033230343
72532360313215003
oct300206636266667
951702066852760
1013212233330103
1142343052aa965
1215947522623b3
1374aba6596052
14339692b01703
1517da31abb7a3
hexc0436796db7

13212233330103 has 64 divisors (see below), whose sum is σ = 20188255027200. Its totient is φ = 8535344634720.

The previous prime is 13212233330071. The next prime is 13212233330141. The reversal of 13212233330103 is 30103333221231.

13212233330103 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 22 + 333 + 301 + 0 + 3 = 666.

It is not a de Polignac number, because 13212233330103 - 25 = 13212233330071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13212233334103) 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 63 ways as a sum of consecutive naturals, for example, 1188251778 + ... + 1188262896.

It is an arithmetic number, because the mean of its divisors is an integer number (315441484800).

Almost surely, 213212233330103 is an apocalyptic number.

13212233330103 is a deficient number, since it is larger than the sum of its proper divisors (6976021697097).

13212233330103 is a wasteful number, since it uses less digits than its factorization.

13212233330103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20369 (or 20363 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13212233330103 its reverse (30103333221231), we get a palindrome (43315566551334).

The spelling of 13212233330103 in words is "thirteen trillion, two hundred twelve billion, two hundred thirty-three million, three hundred thirty thousand, one hundred three".

Divisors: 1 3 9 27 47 103 141 309 423 927 1269 2781 4841 9091 11119 14523 27273 33357 43569 81819 100071 130707 245457 300213 427277 522593 936373 1145257 1281831 1567779 2809119 3435771 3845493 4703337 8427357 10307313 11536479 14110011 25282071 30921939 44009531 53827079 101082829 132028593 161481237 303248487 396085779 484443711 909745461 1188257337 1453331133 2729236383 4750892963 10411531387 14252678889 31234594161 42758036667 93703782483 128274110001 281111347449 489341975189 1468025925567 4404077776701 13212233330103