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13121123031006 = 2397127587302417
BaseRepresentation
bin1011111011101111111111…
…1000001001011111011110
31201110100220121212000200220
42332323333320021133132
53204434024443443011
643523432151302210
72522653442361564
oct276737770113736
951410817760626
1013121123031006
1141a970097a711
12157ab6567a966
13742416728373
143350cc583a34
1517b49d022506
hexbeeffe097de

13121123031006 has 64 divisors (see below), whose sum is σ = 26767157501952. Its totient is φ = 4287204052992.

The previous prime is 13121123030969. The next prime is 13121123031011. The reversal of 13121123031006 is 60013032112131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43236310 + ... + 43538726.

It is an arithmetic number, because the mean of its divisors is an integer number (418236835968).

Almost surely, 213121123031006 is an apocalyptic number.

13121123031006 is an abundant number, since it is smaller than the sum of its proper divisors (13646034470946).

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

13121123031006 is a wasteful number, since it uses less digits than its factorization.

13121123031006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303233.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13121123031006 its reverse (60013032112131), we get a palindrome (73134155143137).

The spelling of 13121123031006 in words is "thirteen trillion, one hundred twenty-one billion, one hundred twenty-three million, thirty-one thousand, six".

Divisors: 1 2 3 6 97 127 194 254 291 381 582 587 762 1174 1761 3522 12319 24638 36957 56939 73914 74549 113878 149098 170817 223647 302417 341634 447294 604834 907251 1814502 7231253 14462506 21693759 29334449 38406959 43387518 58668898 76813918 88003347 115220877 176006694 177518779 230441754 355037558 532556337 1065112674 3725475023 7450950046 11176425069 17219321563 22352850138 22544884933 34438643126 45089769866 51657964689 67634654799 103315929378 135269309598 2186853838501 4373707677002 6560561515503 13121123031006