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105315001104 = 2437330055651
BaseRepresentation
bin110001000010101000…
…0110110001100010000
3101001211120202101002110
41202011100312030100
53211141120013404
6120214145545320
710415542511355
oct1420520661420
9331746671073
10105315001104
11407336330a5
12184b1945240
139c149bc101
145150cbc62c
152b15b64b89
hex1885436310

105315001104 has 40 divisors (see below), whose sum is σ = 275790662752. Its totient is φ = 34624108800.

The previous prime is 105315001081. The next prime is 105315001109. The reversal of 105315001104 is 401100513501.

It is a happy number.

It is a super-2 number, since 2×1053150011042 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105315001109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15024322 + ... + 15031329.

Almost surely, 2105315001104 is an apocalyptic number.

It is an amenable number.

105315001104 is an abundant number, since it is smaller than the sum of its proper divisors (170475661648).

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

105315001104 is a wasteful number, since it uses less digits than its factorization.

105315001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30055735 (or 30055729 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 105315001104 its reverse (401100513501), we get a palindrome (506415514605).

The spelling of 105315001104 in words is "one hundred five billion, three hundred fifteen million, one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3504 30055651 60111302 90166953 120222604 180333906 240445208 360667812 480890416 721335624 1442671248 2194062523 4388125046 6582187569 8776250092 13164375138 17552500184 26328750276 35105000368 52657500552 105315001104