Search a number
-
+
10220010220 = 2257731019901
BaseRepresentation
bin10011000010010100…
…01111101011101100
3222101020202022102001
421201022033223230
5131412310311340
64410042142044
7511155440110
oct114112175354
928336668361
1010220010220
114374a24a42
121b927b1924
13c6b45c734
146cd473740
153ec36b29a
hex26128faec

10220010220 has 96 divisors (see below), whose sum is σ = 25112739456. Its totient is φ = 3421440000.

The previous prime is 10220010209. The next prime is 10220010223. The reversal of 10220010220 is 2201002201.

10220010220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10220010197 and 10220010206.

It is not an unprimeable number, because it can be changed into a prime (10220010223) by changing a digit.

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, 1027270 + ... + 1037170.

It is an arithmetic number, because the mean of its divisors is an integer number (261591036).

Almost surely, 210220010220 is an apocalyptic number.

10220010220 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 10220010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12556369728).

10220010220 is an abundant number, since it is smaller than the sum of its proper divisors (14892729236).

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

10220010220 is a wasteful number, since it uses less digits than its factorization.

10220010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091 (or 10089 counting only the distinct ones).

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

Adding to 10220010220 its reverse (2201002201), we get a palindrome (12421012421).

The spelling of 10220010220 in words is "ten billion, two hundred twenty million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 101 140 146 202 292 365 404 505 511 707 730 1010 1022 1414 1460 2020 2044 2555 2828 3535 5110 7070 7373 9901 10220 14140 14746 19802 29492 36865 39604 49505 51611 69307 73730 99010 103222 138614 147460 198020 206444 258055 277228 346535 516110 693070 722773 1000001 1032220 1386140 1445546 2000002 2891092 3613865 4000004 5000005 5059411 7000007 7227730 10000010 10118822 14000014 14455460 20000020 20237644 25297055 28000028 35000035 50594110 70000070 73000073 101188220 140000140 146000146 292000292 365000365 511000511 730000730 1022001022 1460001460 2044002044 2555002555 5110005110 10220010220