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2101032 = 233371137
BaseRepresentation
bin1000000000111100101000
310221202002000
420000330220
51014213112
6113011000
723600313
oct10007450
93852060
102101032
11120559a
12853a60
1358741b
143c997a
152b77dc
hex200f28

2101032 has 64 divisors (see below), whose sum is σ = 5961600. Its totient is φ = 685440.

The previous prime is 2101019. The next prime is 2101051. The reversal of 2101032 is 2301012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15268 + ... + 15404.

It is an arithmetic number, because the mean of its divisors is an integer number (93150).

22101032 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 2101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980800).

2101032 is an abundant number, since it is smaller than the sum of its proper divisors (3860568).

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

2101032 is a wasteful number, since it uses less digits than its factorization.

2101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2101032 is about 1449.4937047121. The cubic root of 2101032 is about 128.0788901698.

Adding to 2101032 its reverse (2301012), we get a palindrome (4402044).

The spelling of 2101032 in words is "two million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 137 142 213 216 274 284 411 426 548 568 639 822 852 1096 1233 1278 1644 1704 1917 2466 2556 3288 3699 3834 4932 5112 7398 7668 9727 9864 14796 15336 19454 29181 29592 38908 58362 77816 87543 116724 175086 233448 262629 350172 525258 700344 1050516 2101032