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105555130252 = 221113414500901
BaseRepresentation
bin110001001001110010…
…0110111011110001100
3101002110022121012100121
41202103210313132030
53212134103132002
6120254044434324
710424516542345
oct1422344673614
9332408535317
10105555130252
1140847134740
121855a2489a4
139c52686970
145174b490cc
152b2bc99237
hex189393778c

105555130252 has 48 divisors (see below), whose sum is σ = 222308551584. Its totient is φ = 43208640000.

The previous prime is 105555130237. The next prime is 105555130267. The reversal of 105555130252 is 252031555501.

It is an interprime number because it is at equal distance from previous prime (105555130237) and next prime (105555130267).

It is a super-2 number, since 2×1055551302522 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2226999 + ... + 2273902.

It is an arithmetic number, because the mean of its divisors is an integer number (4631428158).

Almost surely, 2105555130252 is an apocalyptic number.

It is an amenable number.

105555130252 is an abundant number, since it is smaller than the sum of its proper divisors (116753421332).

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

105555130252 is a wasteful number, since it uses less digits than its factorization.

105555130252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500970 (or 4500968 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 34.

Adding to 105555130252 its reverse (252031555501), we get a palindrome (357586685753).

The spelling of 105555130252 in words is "one hundred five billion, five hundred fifty-five million, one hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 4 11 13 22 26 41 44 52 82 143 164 286 451 533 572 902 1066 1804 2132 5863 11726 23452 4500901 9001802 18003604 49509911 58511713 99019822 117023426 184536941 198039644 234046852 369073882 643628843 738147764 1287257686 2029906351 2398980233 2574515372 4059812702 4797960466 8119625404 9595920932 26388782563 52777565126 105555130252