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1101959028 = 223230609973
BaseRepresentation
bin100000110101110…
…1000111101110100
32211210112022121100
41001223220331310
54224100142103
6301202450100
736210332352
oct10153507564
92753468540
101101959028
11516033145
12269063930
131473b8581
14a64cc7d2
1566b215a3
hex41ae8f74

1101959028 has 18 divisors (see below), whose sum is σ = 2785507634. Its totient is φ = 367319664.

The previous prime is 1101959021. The next prime is 1101959063. The reversal of 1101959028 is 8209591011.

1101959028 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1043160804 + 58798224 = 32298^2 + 7668^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 30609973 = 1101959028 / (1 + 1 + 0 + 1 + 9 + 5 + 9 + 0 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 1101958983 and 1101959001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101959021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15304951 + ... + 15305022.

Almost surely, 21101959028 is an apocalyptic number.

1101959028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1101959028 is an abundant number, since it is smaller than the sum of its proper divisors (1683548606).

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

1101959028 is a wasteful number, since it uses less digits than its factorization.

1101959028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30609983 (or 30609978 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 1101959028 is about 33195.7682242782. The cubic root of 1101959028 is about 1032.8925597984.

The spelling of 1101959028 in words is "one billion, one hundred one million, nine hundred fifty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 30609973 61219946 91829919 122439892 183659838 275489757 367319676 550979514 1101959028