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13122411400235 = 51743971092411409
BaseRepresentation
bin1011111011110100110010…
…1010111000110000101011
31201110111020102010222000202
42332331030222320300223
53204444144304301420
643524204053422415
72523030405341234
oct276751452706053
951414212128022
1013122411400235
1141aa202153575
12157b26503aa0b
13742590620417
143351b171808b
1517b5261b6575
hexbef4cab8c2b

13122411400235 has 128 divisors (see below), whose sum is σ = 17479526803200. Its totient is φ = 9417554657280.

The previous prime is 13122411400223. The next prime is 13122411400333. The reversal of 13122411400235 is 53200411422131.

It is a happy number.

It is not a de Polignac number, because 13122411400235 - 26 = 13122411400171 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13122411400198 and 13122411400207.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9313279211 + ... + 9313280619.

It is an arithmetic number, because the mean of its divisors is an integer number (136558803150).

Almost surely, 213122411400235 is an apocalyptic number.

13122411400235 is a deficient number, since it is larger than the sum of its proper divisors (4357115402965).

13122411400235 is a wasteful number, since it uses less digits than its factorization.

13122411400235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 13122411400235 its reverse (53200411422131), we get a palindrome (66322822822366).

The spelling of 13122411400235 in words is "thirteen trillion, one hundred twenty-two billion, four hundred eleven million, four hundred thousand, two hundred thirty-five".

Divisors: 1 5 17 43 85 97 109 215 241 485 545 731 1205 1409 1649 1853 3655 4097 4171 4687 7045 8245 9265 10363 10573 20485 20855 23377 23435 23953 26269 51815 52865 60587 70907 79679 116885 119765 131345 136673 153581 176171 179741 302935 339569 354535 397409 398395 446573 454639 683365 767905 880855 898705 1005211 1029979 1129567 1697845 1987045 2232865 2273195 2323441 2548093 2610877 5026055 5149895 5647835 5772673 5876939 6603983 7728863 11617205 12740465 13054385 14601467 14897357 17088587 19202639 28863365 29384695 32938193 33019915 37013021 38644315 43317581 73007335 74486785 85442935 96013195 99907963 109567999 112267711 164690965 185065105 216587905 248224939 253255069 499539815 547839995 559949281 561338555 629221357 640586351 1241124695 1266275345 1416342299 1591559903 1862655983 2799746405 3146106785 3202931755 3590263037 7081711495 7957799515 9313279915 10889967967 17951315185 24077819083 27056518351 54449839835 61034471629 120389095415 135282591755 154381310591 305172358145 771906552955 2624482280047 13122411400235