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2101240332 = 223353675479
BaseRepresentation
bin111110100111110…
…0110001000001100
312102102212001212000
41331033212020030
513300404142312
6544300512300
7103033151052
oct17517461014
95372761760
102101240332
11989105a64
124a784b690
13276433599
1415d0d01d2
15c470eadc
hex7d3e620c

2101240332 has 96 divisors (see below), whose sum is σ = 5634316800. Its totient is φ = 676817856.

The previous prime is 2101240331. The next prime is 2101240333. The reversal of 2101240332 is 2330421012.

2101240332 is a `hidden beast` number, since 210 + 124 + 0 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (2101240331) and next prime (2101240333).

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

It is not an unprimeable number, because it can be changed into a prime (2101240331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380769 + ... + 386247.

It is an arithmetic number, because the mean of its divisors is an integer number (58690800).

Almost surely, 22101240332 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 2101240332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817158400).

2101240332 is an abundant number, since it is smaller than the sum of its proper divisors (3533076468).

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

2101240332 is a wasteful number, since it uses less digits than its factorization.

2101240332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 5604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2101240332 is about 45839.2880834770. The cubic root of 2101240332 is about 1280.8312333541.

Adding to 2101240332 its reverse (2330421012), we get a palindrome (4431661344).

The spelling of 2101240332 in words is "two billion, one hundred one million, two hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 67 106 108 134 159 201 212 268 318 402 477 603 636 804 954 1206 1431 1809 1908 2412 2862 3551 3618 5479 5724 7102 7236 10653 10958 14204 16437 21306 21916 31959 32874 42612 49311 63918 65748 95877 98622 127836 147933 191754 197244 290387 295866 367093 383508 580774 591732 734186 871161 1101279 1161548 1468372 1742322 2202558 2613483 3303837 3484644 4405116 5226966 6607674 7840449 9911511 10453932 13215348 15680898 19455929 19823022 31361796 38911858 39646044 58367787 77823716 116735574 175103361 233471148 350206722 525310083 700413444 1050620166 2101240332