Search a number
-
+
3011322020 = 225731827839
BaseRepresentation
bin1011001101111101…
…0010000010100100
321202212100000020012
42303133102002210
522131344301040
61214451025352
7134423546330
oct26337220244
97685300205
103011322020
1113058a3893
1270059b258
1338cb49a65
14207d127c0
1512957d865
hexb37d20a4

3011322020 has 96 divisors (see below), whose sum is σ = 7478231040. Its totient is φ = 996750720.

The previous prime is 3011322011. The next prime is 3011322053. The reversal of 3011322020 is 202231103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 3011321986 and 3011322004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3588761 + ... + 3589599.

It is an arithmetic number, because the mean of its divisors is an integer number (77898240).

Almost surely, 23011322020 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 3011322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739115520).

3011322020 is an abundant number, since it is smaller than the sum of its proper divisors (4466909020).

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

3011322020 is a wasteful number, since it uses less digits than its factorization.

3011322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3011322020 is about 54875.5138472525. The cubic root of 3011322020 is about 1444.0616457851.

Adding to 3011322020 its reverse (202231103), we get a palindrome (3213553123).

The spelling of 3011322020 in words is "three billion, eleven million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 827 839 868 1085 1654 1678 2170 3308 3356 4135 4195 4340 5789 5873 8270 8390 11578 11746 16540 16780 23156 23492 25637 26009 28945 29365 51274 52018 57890 58730 102548 104036 115780 117460 128185 130045 179459 182063 256370 260090 358918 364126 512740 520180 693853 717836 728252 897295 910315 1387706 1794590 1820630 2775412 3469265 3589180 3641260 4856971 6938530 9713942 13877060 19427884 21509443 24284855 43018886 48569710 86037772 97139420 107547215 150566101 215094430 301132202 430188860 602264404 752830505 1505661010 3011322020