Search a number
-
+
3002202313220 = 2251137431855733
BaseRepresentation
bin101011101100000001001…
…100111101001000000100
3101122000012122022101020102
4223230001030331020010
5343142002243010340
610215105342423232
7426621241416245
oct53540114751004
911560178271212
103002202313220
11a58254a36250
12405a1b591b18
1318a14cb91416
14a54435b6ccc
1553162c6b215
hex2bb0133d204

3002202313220 has 96 divisors (see below), whose sum is σ = 7080055589376. Its totient is φ = 1059738508800.

The previous prime is 3002202313217. The next prime is 3002202313283. The reversal of 3002202313220 is 223132022003.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3002202313192 and 3002202313201.

It is an unprimeable number.

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, 3080474 + ... + 3936206.

It is an arithmetic number, because the mean of its divisors is an integer number (73750579056).

Almost surely, 23002202313220 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 3002202313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540027794688).

3002202313220 is an abundant number, since it is smaller than the sum of its proper divisors (4077853276156).

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

3002202313220 is a wasteful number, since it uses less digits than its factorization.

3002202313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856221 (or 856219 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 3002202313220 its reverse (223132022003), we get a palindrome (3225334335223).

The spelling of 3002202313220 in words is "three trillion, two billion, two hundred two million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 431 740 814 862 1628 1724 2035 2155 4070 4310 4741 8140 8620 9482 15947 18964 23705 31894 47410 63788 79735 94820 159470 175417 318940 350834 701668 855733 877085 1711466 1754170 3422932 3508340 4278665 8557330 9413063 17114660 18826126 31662121 37652252 47065315 63324242 94130630 126648484 158310605 188261260 316621210 348283331 368820923 633242420 696566662 737641846 1393133324 1475283692 1741416655 1844104615 3482833310 3688209230 4057030153 6965666620 7376418460 8114060306 13646374151 16228120612 20285150765 27292748302 40570301530 54585496604 68231870755 81140603060 136463741510 150110115661 272927483020 300220231322 600440462644 750550578305 1501101156610 3002202313220