Search a number
-
+
11531042160 = 2435114367819
BaseRepresentation
bin10101011110100110…
…11011110101110000
31002202121200122010120
422233103123311300
5142103421322120
65144114130240
7555515145501
oct125723336560
932677618116
1011531042160
114987a77710
122299880980
131119c5ab91
147b5626ba8
154774da140
hex2af4dbd70

11531042160 has 80 divisors (see below), whose sum is σ = 38995896960. Its totient is φ = 2795403520.

The previous prime is 11531042137. The next prime is 11531042189. The reversal of 11531042160 is 6124013511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11531042160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2181270 + ... + 2186549.

It is an arithmetic number, because the mean of its divisors is an integer number (487448712).

Almost surely, 211531042160 is an apocalyptic number.

11531042160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11531042160 is an abundant number, since it is smaller than the sum of its proper divisors (27464854800).

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

11531042160 is a wasteful number, since it uses less digits than its factorization.

11531042160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367846 (or 4367840 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11531042160 its reverse (6124013511), we get a palindrome (17655055671).

The spelling of 11531042160 in words is "eleven billion, five hundred thirty-one million, forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 4367819 8735638 13103457 17471276 21839095 26206914 34942552 43678190 48046009 52413828 65517285 69885104 87356380 96092018 104827656 131034570 144138027 174712760 192184036 209655312 240230045 262069140 288276054 349425520 384368072 480460090 524138280 576552108 720690135 768736144 960920180 1048276560 1153104216 1441380270 1921840360 2306208432 2882760540 3843680720 5765521080 11531042160