Search a number
-
+
3031103222032 = 2419233234718233
BaseRepresentation
bin101100000110111011110…
…101001011000100010000
3101201202210210110122221111
4230012323311023010100
5344130144411101112
610240245233303104
7431663364165514
oct54067365130420
911652723418844
103031103222032
11a69535825856
1240b546404a94
1318caa76333b2
14a69c5a7c144
1553ca513d5a7
hex2c1bbd4b110

3031103222032 has 80 divisors (see below), whose sum is σ = 6211372714560. Its totient is φ = 1428936062976.

The previous prime is 3031103222003. The next prime is 3031103222087. The reversal of 3031103222032 is 2302223011303.

It is a super-2 number, since 2×30311032220322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3031103221994 and 3031103222012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166233588 + ... + 166251820.

It is an arithmetic number, because the mean of its divisors is an integer number (77642158932).

Almost surely, 23031103222032 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 3031103222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105686357280).

3031103222032 is an abundant number, since it is smaller than the sum of its proper divisors (3180269492528).

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

3031103222032 is a wasteful number, since it uses less digits than its factorization.

3031103222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20840 (or 20834 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3031103222032 its reverse (2302223011303), we get a palindrome (5333326233335).

The spelling of 3031103222032 in words is "three trillion, thirty-one billion, one hundred three million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 76 152 233 304 466 932 1864 2347 3728 4427 4694 8854 9388 17708 18233 18776 35416 36466 37552 44593 70832 72932 89186 145864 178372 291728 346427 356744 546851 692854 713488 1093702 1385708 2187404 2771416 4248289 4374808 5542832 8496578 8749616 10390169 16993156 20780338 33986312 41560676 42792851 67972624 80717491 83121352 85585702 161434982 166242704 171171404 322869964 342342808 645739928 684685616 813064169 1291479856 1626128338 3252256676 6504513352 9970734283 13009026704 19941468566 39882937132 79765874264 159531748528 189443951377 378887902754 757775805508 1515551611016 3031103222032