Search a number
-
+
2045941101 = 321312696451
BaseRepresentation
bin111100111110010…
…1001010101101101
312021120210120120100
41321330221111231
513142230103401
6535003341313
7101462132601
oct17174512555
95246716510
102045941101
1195a975916
12491221839
13267b41149
14155a17501
15be939b86
hex79f2956d

2045941101 has 24 divisors (see below), whose sum is σ = 2989340640. Its totient is φ = 1348308000.

The previous prime is 2045941099. The next prime is 2045941187. The reversal of 2045941101 is 1011495402.

It is not a de Polignac number, because 2045941101 - 21 = 2045941099 is a prime.

It is a super-2 number, since 2×20459411012 = 8371749977522184402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045941301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313926 + ... + 320376.

It is an arithmetic number, because the mean of its divisors is an integer number (124555860).

Almost surely, 22045941101 is an apocalyptic number.

It is an amenable number.

2045941101 is a deficient number, since it is larger than the sum of its proper divisors (943399539).

2045941101 is a wasteful number, since it uses less digits than its factorization.

2045941101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2045941101 is about 45232.0804407668. The cubic root of 2045941101 is about 1269.4951391942.

The spelling of 2045941101 in words is "two billion, forty-five million, nine hundred forty-one thousand, one hundred one".

Divisors: 1 3 9 131 269 393 807 1179 2421 6451 19353 35239 58059 105717 317151 845081 1735319 2535243 5205957 7605729 15617871 227326789 681980367 2045941101