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13122200020311 = 323724735596367
BaseRepresentation
bin1011111011110100000000…
…0100100010010101010111
31201110110200200101202021200
42332331000010202111113
53204443231201122221
643524131103043543
72523022230546234
oct276750004422527
951413620352250
1013122200020311
1141aa1038a8718
12157b2062a05b3
137425588b0445
1433519161278b
1517b512860426
hexbef40122557

13122200020311 has 72 divisors (see below), whose sum is σ = 19903604797440. Its totient is φ = 8326948620096.

The previous prime is 13122200020277. The next prime is 13122200020313. The reversal of 13122200020311 is 11302000222131.

13122200020311 is a `hidden beast` number, since 1 + 312 + 2 + 20 + 0 + 0 + 20 + 311 = 666.

It is not a de Polignac number, because 13122200020311 - 27 = 13122200020183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122200020313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2060967450 + ... + 2060973816.

It is an arithmetic number, because the mean of its divisors is an integer number (276438955520).

Almost surely, 213122200020311 is an apocalyptic number.

13122200020311 is a deficient number, since it is larger than the sum of its proper divisors (6781404777129).

13122200020311 is a wasteful number, since it uses less digits than its factorization.

13122200020311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10053 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13122200020311 its reverse (11302000222131), we get a palindrome (24424200242442).

The spelling of 13122200020311 in words is "thirteen trillion, one hundred twenty-two billion, two hundred million, twenty thousand, three hundred eleven".

Divisors: 1 3 9 37 47 111 141 333 423 1369 1739 3559 4107 5217 6367 10677 12321 15651 19101 32031 57303 64343 131683 167273 193029 235579 299249 395049 501819 579087 706737 897747 1185147 1505457 2120211 2693241 4872271 6189101 8716423 11072213 14616813 18567303 22660153 26149269 33216639 43850439 55701909 67980459 78447807 99649917 203941377 228996737 409671881 686990211 838425661 1065027191 1229015643 2060970633 2515276983 3195081573 3687046929 7545830949 9585244719 31021749457 39406006067 93065248371 118218018201 279195745113 354654054603 1458022224479 4374066673437 13122200020311