Search a number
-
+
1002012220 = 2251112735863
BaseRepresentation
bin111011101110010…
…111111000111100
32120211110111100201
4323232113320330
54023003342340
6243232333244
733554651266
oct7356277074
92524414321
101002012220
11474678680
1223b6a4224
1312c793051
1497112b36
155ce7c79a
hex3bb97e3c

1002012220 has 48 divisors (see below), whose sum is σ = 2313658368. Its totient is φ = 361488960.

The previous prime is 1002012211. The next prime is 1002012229. The reversal of 1002012220 is 222102001.

It is an interprime number because it is at equal distance from previous prime (1002012211) and next prime (1002012229).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002012197 and 1002012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002012229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10009 + ... + 45871.

It is an arithmetic number, because the mean of its divisors is an integer number (48201216).

Almost surely, 21002012220 is an apocalyptic number.

1002012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156829184).

1002012220 is an abundant number, since it is smaller than the sum of its proper divisors (1311646148).

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

1002012220 is a wasteful number, since it uses less digits than its factorization.

1002012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36010 (or 36008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1002012220 is about 31654.5766043395. The cubic root of 1002012220 is about 1000.6702906101.

Adding to 1002012220 its reverse (222102001), we get a palindrome (1224114221).

The spelling of 1002012220 in words is "one billion, two million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 5588 6985 13970 27940 35863 71726 143452 179315 358630 394493 717260 788986 1577972 1972465 3944930 4554601 7889860 9109202 18218404 22773005 45546010 50100611 91092020 100201222 200402444 250503055 501006110 1002012220