Search a number
-
+
1105105032 = 23341705409
BaseRepresentation
bin100000111011110…
…1001000010001000
32212000110011010000
41001313221002020
54230401330112
6301354123000
736246144363
oct10167510210
92760404100
101105105032
11517891849
1226a120460
13147c4a505
14a6aab0da
15670437dc
hex41de9088

1105105032 has 40 divisors (see below), whose sum is σ = 3095319150. Its totient is φ = 368368128.

The previous prime is 1105105013. The next prime is 1105105039. The reversal of 1105105032 is 2305015011.

1105105032 is a `hidden beast` number, since 110 + 51 + 0 + 503 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1018503396 + 86601636 = 31914^2 + 9306^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1105104996 and 1105105014.

It is not an unprimeable number, because it can be changed into a prime (1105105039) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 852057 + ... + 853352.

Almost surely, 21105105032 is an apocalyptic number.

1105105032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1105105032 is an abundant number, since it is smaller than the sum of its proper divisors (1990214118).

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

1105105032 is a wasteful number, since it uses less digits than its factorization.

1105105032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705427 (or 1705414 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1105105032 is about 33243.1200701739. The cubic root of 1105105032 is about 1033.8745674773.

The spelling of 1105105032 in words is "one billion, one hundred five million, one hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1705409 3410818 5116227 6821636 10232454 13643272 15348681 20464908 30697362 40929816 46046043 61394724 92092086 122789448 138138129 184184172 276276258 368368344 552552516 1105105032