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105230144152 = 2377325741229
BaseRepresentation
bin110001000000000110…
…1001001001010011000
3101001121200002012020101
41202000031021022120
53211002404103102
6120201515105144
710413462316120
oct1420015111230
9331550065211
10105230144152
114069a744891
12184894421b4
139c0024b0b3
14514390dc80
152b0d4a1e87
hex1880349298

105230144152 has 32 divisors (see below), whose sum is σ = 228582122400. Its totient is φ = 44480841984.

The previous prime is 105230144077. The next prime is 105230144153. The reversal of 105230144152 is 251441032501.

It is a super-2 number, since 2×1052301441522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 105230144152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105230144153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12866527 + ... + 12874702.

It is an arithmetic number, because the mean of its divisors is an integer number (7143191325).

Almost surely, 2105230144152 is an apocalyptic number.

It is an amenable number.

105230144152 is an abundant number, since it is smaller than the sum of its proper divisors (123351978248).

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

105230144152 is a wasteful number, since it uses less digits than its factorization.

105230144152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25741315 (or 25741311 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 105230144152 its reverse (251441032501), we get a palindrome (356671176653).

It can be divided in two parts, 10523014 and 4152, that added together give a triangular number (10527166 = T4588).

The spelling of 105230144152 in words is "one hundred five billion, two hundred thirty million, one hundred forty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 2044 4088 25741229 51482458 102964916 180188603 205929832 360377206 720754412 1441508824 1879109717 3758219434 7516438868 13153768019 15032877736 26307536038 52615072076 105230144152