Search a number
-
+
3100220010 = 2325372773361
BaseRepresentation
bin1011100011001001…
…1001101001101010
322000001121111100100
42320302121221222
522322124020020
61231344250230
7136553302206
oct27062315152
98001544310
103100220010
111350aa21a8
12726310976
133a53a4214
14215a53b06
1513228da90
hexb8c99a6a

3100220010 has 96 divisors (see below), whose sum is σ = 8310783312. Its totient is φ = 801239040.

The previous prime is 3100219957. The next prime is 3100220017. The reversal of 3100220010 is 100220013.

It is a happy number.

3100220010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1885209561 + 1215010449 = 43419^2 + 34857^2 .

It is a super-2 number, since 2×31002200102 = 19222728220808800200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 3100219974 and 3100220001.

It is not an unprimeable number, because it can be changed into a prime (3100220017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920730 + ... + 924090.

Almost surely, 23100220010 is an apocalyptic number.

3100220010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155391656).

3100220010 is an abundant number, since it is smaller than the sum of its proper divisors (5210563302).

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

3100220010 is a wasteful number, since it uses less digits than its factorization.

3100220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3100220010 is about 55679.6193413712. The cubic root of 3100220010 is about 1458.1342292605.

Adding to 3100220010 its reverse (100220013), we get a palindrome (3200440023).

The spelling of 3100220010 in words is "three billion, one hundred million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 277 333 370 554 555 666 831 1110 1385 1662 1665 2493 2770 3330 3361 4155 4986 6722 8310 10083 10249 12465 16805 20166 20498 24930 30249 30747 33610 50415 51245 60498 61494 92241 100830 102490 124357 151245 153735 184482 248714 302490 307470 373071 461205 621785 746142 922410 930997 1119213 1243570 1861994 1865355 2238426 2792991 3730710 4654985 5585982 5596065 8378973 9309970 11192130 13964955 16757946 27929910 34446889 41894865 68893778 83789730 103340667 172234445 206681334 310022001 344468890 516703335 620044002 1033406670 1550110005 3100220010