Search a number
-
+
10200221002220 = 2253125316318787
BaseRepresentation
bin1001010001101110110010…
…0011001010100111101100
31100010010112221101000101012
42110123230203022213230
52314110023034032340
633405530012004352
72101640661650534
oct224335443124754
940103487330335
1010200221002220
113282986922487
121188a554606b8
1358cb521a6332
1427399c6dc4c4
1512a4e79be565
hex946ec8ca9ec

10200221002220 has 24 divisors (see below), whose sum is σ = 21421150806384. Its totient is φ = 4079957600576.

The previous prime is 10200221002211. The next prime is 10200221002243. The reversal of 10200221002220 is 2220012200201.

10200221002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10200221002195 and 10200221002204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7534334 + ... + 8784453.

It is an arithmetic number, because the mean of its divisors is an integer number (892547950266).

Almost surely, 210200221002220 is an apocalyptic number.

10200221002220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200221002220 is an abundant number, since it is smaller than the sum of its proper divisors (11220929804164).

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

10200221002220 is a wasteful number, since it uses less digits than its factorization.

10200221002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16350049 (or 16350047 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10200221002220 its reverse (2220012200201), we get a palindrome (12420233202421).

The spelling of 10200221002220 in words is "ten trillion, two hundred billion, two hundred twenty-one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31253 62506 125012 156265 312530 625060 16318787 32637574 65275148 81593935 163187870 326375740 510011050111 1020022100222 2040044200444 2550055250555 5100110501110 10200221002220