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2101044 = 2231121447
BaseRepresentation
bin1000000000111100110100
310221202002110
420000330310
51014213134
6113011020
723600331
oct10007464
93852073
102101044
111205600
12853a70
1358742a
143c9988
152b77e9
hex200f34

2101044 has 36 divisors (see below), whose sum is σ = 5392352. Its totient is φ = 636240.

The previous prime is 2101019. The next prime is 2101051. The reversal of 2101044 is 4401012.

2101044 = T35 + T36 + ... + T232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 729 + ... + 2175.

22101044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696176).

2101044 is an abundant number, since it is smaller than the sum of its proper divisors (3291308).

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

2101044 is a wasteful number, since it uses less digits than its factorization.

2101044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2101044 is about 1449.4978440826. The cubic root of 2101044 is about 128.0791340093.

Subtracting from 2101044 its product of nonzero digits (32), we obtain a palindrome (2101012).

Adding to 2101044 its reverse (4401012), we get a palindrome (6502056).

Subtracting 2101044 from its reverse (4401012), we obtain a cube (2299968 = 1323).

The spelling of 2101044 in words is "two million, one hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1447 1452 2894 4341 5788 8682 15917 17364 31834 47751 63668 95502 175087 191004 350174 525261 700348 1050522 2101044