Search a number
-
+
105201443021523 = 3457487115753103
BaseRepresentation
bin10111111010111000011110…
…101001000010001011010011
3111210111011022110000102120220
4113322320132221002023103
5102242110023403142043
61011424513054204123
731105360554265302
oct2772703651021323
9453434273012526
10105201443021523
113057a754a98302
12b9708b24b3643
1346915b848ba64
141bd9ac418a439
15c267e6ea7483
hex5fae1ea422d3

105201443021523 has 16 divisors (see below), whose sum is σ = 140604392764416. Its totient is φ = 69966457346880.

The previous prime is 105201443021501. The next prime is 105201443021533. The reversal of 105201443021523 is 325120344102501.

It is not a de Polignac number, because 105201443021523 - 28 = 105201443021267 is a prime.

It is a super-2 number, since 2×1052014430215232 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105201443021533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198411 + ... + 14554692.

It is an arithmetic number, because the mean of its divisors is an integer number (8787774547776).

Almost surely, 2105201443021523 is an apocalyptic number.

105201443021523 is a deficient number, since it is larger than the sum of its proper divisors (35402949742893).

105201443021523 is a wasteful number, since it uses less digits than its factorization.

105201443021523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15758434.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 105201443021523 in words is "one hundred five trillion, two hundred one billion, four hundred forty-three million, twenty-one thousand, five hundred twenty-three".

Divisors: 1 3 457 1371 4871 14613 2226047 6678141 15753103 47259309 7199168071 21597504213 76733364713 230200094139 35067147673841 105201443021523