Search a number
-
+
3011221000332 = 2233294993192557
BaseRepresentation
bin101011110100011010110…
…000100001000010001100
3101122212111011120011011000
4223310122300201002030
5343313440034002312
610223200312300300
7430360602120546
oct53643260410214
911585434504130
103011221000332
11a61062830376
124077179a1690
1318ac5948537c
14a5a5b294696
15534de8d9adc
hex2bd1ac2108c

3011221000332 has 96 divisors (see below), whose sum is σ = 8077731076800. Its totient is φ = 968929468416.

The previous prime is 3011221000261. The next prime is 3011221000339. The reversal of 3011221000332 is 2330001221103.

3011221000332 is a `hidden beast` number, since 301 + 1 + 22 + 10 + 0 + 0 + 332 = 666.

It is a super-2 number, since 2×30112210003322 (a number of 26 digits) contains 22 as substring.

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 (3011221000339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15541798 + ... + 15734354.

It is an arithmetic number, because the mean of its divisors is an integer number (84143032050).

Almost surely, 23011221000332 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 3011221000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038865538400).

3011221000332 is an abundant number, since it is smaller than the sum of its proper divisors (5066510076468).

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

3011221000332 is a wasteful number, since it uses less digits than its factorization.

3011221000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197592 (or 197584 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3011221000332 its reverse (2330001221103), we get a palindrome (5341222221435).

The spelling of 3011221000332 in words is "three trillion, eleven billion, two hundred twenty-one million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 4993 9986 14979 19972 29958 44937 59916 89874 134811 144797 179748 192557 269622 289594 385114 434391 539244 577671 579188 770228 868782 1155342 1303173 1733013 1737564 2310684 2606346 3466026 3909519 5199039 5212692 5584153 6932052 7819038 10398078 11168306 15638076 16752459 20796156 22336612 33504918 50257377 67009836 100514754 150772131 201029508 301544262 603088524 961437101 1922874202 2884311303 3845748404 5768622606 8652933909 11537245212 17305867818 25958801727 27881675929 34611735636 51917603454 55763351858 83645027787 103835206908 111526703716 167290055574 250935083361 334580111148 501870166722 752805250083 1003740333444 1505610500166 3011221000332