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113121001041 = 3831094619041
BaseRepresentation
bin110100101011010001…
…0010111111001010001
3101210222121010020221020
41221112202113321101
53323132434013131
6123544515350053
711113146433566
oct1512642277121
9353877106836
10113121001041
1143a79946414
1219b0bbb2329
13a889c98b99
1456918c686d
152e210dd996
hex1a56897e51

113121001041 has 32 divisors (see below), whose sum is σ = 154396851840. Its totient is φ = 73653580800.

The previous prime is 113121001031. The next prime is 113121001051. The reversal of 113121001041 is 140100121311.

It is an interprime number because it is at equal distance from previous prime (113121001031) and next prime (113121001051).

It is not a de Polignac number, because 113121001041 - 214 = 113120984657 is a prime.

It is a super-3 number, since 3×1131210010413 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113121001041.

It is not an unprimeable number, because it can be changed into a prime (113121001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12507481 + ... + 12516521.

It is an arithmetic number, because the mean of its divisors is an integer number (4824901620).

Almost surely, 2113121001041 is an apocalyptic number.

It is an amenable number.

113121001041 is a deficient number, since it is larger than the sum of its proper divisors (41275850799).

113121001041 is a wasteful number, since it uses less digits than its factorization.

113121001041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 113121001041 its reverse (140100121311), we get a palindrome (253221122352).

The spelling of 113121001041 in words is "one hundred thirteen billion, one hundred twenty-one million, one thousand, forty-one".

Divisors: 1 3 83 109 249 327 461 1383 9041 9047 27123 27141 38263 50249 114789 150747 750403 985469 2251209 2956407 4167901 4170667 12503703 12512001 81793927 245381781 345935783 454301209 1037807349 1362903627 37707000347 113121001041