Search a number
-
+
10212020010 = 23252333714639
BaseRepresentation
bin10011000001010111…
…10000111100101010
3222100200201100220100
421200223300330222
5131403234120020
64405155010230
7511030511043
oct114053607452
928320640810
1010212020010
114370467865
121b8bb99976
13c698c28ba
146cc3938ca
153eb7dda90
hex260af0f2a

10212020010 has 96 divisors (see below), whose sum is σ = 27789765120. Its totient is φ = 2596898304.

The previous prime is 10212019999. The next prime is 10212020011. The reversal of 10212020010 is 1002021201.

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 = 10212019974 and 10212020001.

It is not an unprimeable number, because it can be changed into a prime (10212020011) 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, 690271 + ... + 704909.

It is an arithmetic number, because the mean of its divisors is an integer number (289476720).

Almost surely, 210212020010 is an apocalyptic number.

10212020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13894882560).

10212020010 is an abundant number, since it is smaller than the sum of its proper divisors (17577745110).

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

10212020010 is a wasteful number, since it uses less digits than its factorization.

10212020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15012 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10212020010 its reverse (1002021201), we get a palindrome (11214041211).

The spelling of 10212020010 in words is "ten billion, two hundred twelve million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 337 345 414 674 690 1011 1035 1685 2022 2070 3033 3370 5055 6066 7751 10110 14639 15165 15502 23253 29278 30330 38755 43917 46506 69759 73195 77510 87834 116265 131751 139518 146390 219585 232530 263502 336697 348795 439170 658755 673394 697590 1010091 1317510 1683485 2020182 3030273 3366970 4933343 5050455 6060546 9866686 10100910 14800029 15151365 24666715 29600058 30302730 44400087 49333430 74000145 88800174 113466889 148000290 222000435 226933778 340400667 444000870 567334445 680801334 1021202001 1134668890 1702003335 2042404002 3404006670 5106010005 10212020010