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1330022100 = 2235211403037
BaseRepresentation
bin100111101000110…
…1000011011010100
310102200200010022210
41033101220123110
510210441201400
6335550553420
744650000311
oct11721503324
93380603283
101330022100
11622843320
12311508870
1318271a034
14c88d7d08
157bb70950
hex4f4686d4

1330022100 has 72 divisors (see below), whose sum is σ = 4198043808. Its totient is φ = 322428800.

The previous prime is 1330022093. The next prime is 1330022107. The reversal of 1330022100 is 12200331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1330022093) and next prime (1330022107).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330022107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198219 + ... + 204818.

It is an arithmetic number, because the mean of its divisors is an integer number (58306164).

Almost surely, 21330022100 is an apocalyptic number.

1330022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330022100 is an abundant number, since it is smaller than the sum of its proper divisors (2868021708).

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

1330022100 is a wasteful number, since it uses less digits than its factorization.

1330022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403065 (or 403058 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1330022100 is about 36469.4680520569. The cubic root of 1330022100 is about 1099.7305400581.

Adding to 1330022100 its reverse (12200331), we get a palindrome (1342222431).

The spelling of 1330022100 in words is "one billion, three hundred thirty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 403037 806074 1209111 1612148 2015185 2418222 4030370 4433407 4836444 6045555 8060740 8866814 10075925 12091110 13300221 17733628 20151850 22167035 24182220 26600442 30227775 40303700 44334070 53200884 60455550 66501105 88668140 110835175 120911100 133002210 221670350 266004420 332505525 443340700 665011050 1330022100