Search a number
-
+
10201222020 = 22351121405127
BaseRepresentation
bin10011000000000101…
…00100101110000100
3222022221101202211210
421200002210232010
5131343003101040
64404131331420
7510536646033
oct114002445604
928287352753
1010201222020
114365362100
121b88450b70
13c675b1a62
146cab8271a
153ea8a9480
hex2600a4b84

10201222020 has 72 divisors (see below), whose sum is σ = 31396180032. Its totient is φ = 2473021760.

The previous prime is 10201222007. The next prime is 10201222021. The reversal of 10201222020 is 2022210201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10201221987 and 10201222005.

It is not an unprimeable number, because it can be changed into a prime (10201222021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695304 + ... + 709823.

It is an arithmetic number, because the mean of its divisors is an integer number (436058056).

Almost surely, 210201222020 is an apocalyptic number.

10201222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201222020 is an abundant number, since it is smaller than the sum of its proper divisors (21194958012).

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

10201222020 is a wasteful number, since it uses less digits than its factorization.

10201222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405161 (or 1405148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10201222020 its reverse (2022210201), we get a palindrome (12223432221).

It can be divided in two parts, 10201 and 222020, that added together give a triangular number (232221 = T681).

The spelling of 10201222020 in words is "ten billion, two hundred one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 1405127 2810254 4215381 5620508 7025635 8430762 14051270 15456397 16861524 21076905 28102540 30912794 42153810 46369191 61825588 77281985 84307620 92738382 154563970 170020367 185476764 231845955 309127940 340040734 463691910 510061101 680081468 850101835 927383820 1020122202 1700203670 2040244404 2550305505 3400407340 5100611010 10201222020