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104045211153 = 33132113201787
BaseRepresentation
bin110000011100110010…
…0111110111000010001
3100221120002102100202000
41200321210332320101
53201041033224103
6115444145544213
710342223463012
oct1407144767021
9327502370660
10104045211153
114014189a114
12181b8645069
139a71900900
1450703c3009
152a8e440aa3
hex183993ee11

104045211153 has 48 divisors (see below), whose sum is σ = 168388050240. Its totient is φ = 63460889856.

The previous prime is 104045211119. The next prime is 104045211169. The reversal of 104045211153 is 351112540401.

104045211153 is a `hidden beast` number, since 10 + 40 + 452 + 11 + 153 = 666.

It is not a de Polignac number, because 104045211153 - 29 = 104045210641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104045211103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414726 + ... + 616512.

It is an arithmetic number, because the mean of its divisors is an integer number (3508084380).

Almost surely, 2104045211153 is an apocalyptic number.

104045211153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104045211153 is a deficient number, since it is larger than the sum of its proper divisors (64342839087).

104045211153 is a wasteful number, since it uses less digits than its factorization.

104045211153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201935 (or 201916 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 104045211153 its reverse (351112540401), we get a palindrome (455157751554).

The spelling of 104045211153 in words is "one hundred four billion, forty-five million, two hundred eleven thousand, one hundred fifty-three".

Divisors: 1 3 9 13 27 39 113 117 169 339 351 507 1017 1469 1521 3051 4407 4563 13221 19097 39663 57291 171873 201787 515619 605361 1816083 2623231 5448249 7869693 22801931 23609079 34102003 68405793 70827237 102306009 205217379 296425103 306918027 615652137 889275309 920754081 2667825927 3853526339 8003477781 11560579017 34681737051 104045211153