Search a number
-
+
10200122210020 = 2253535232762479
BaseRepresentation
bin1001010001101110011010…
…1010010011011011100100
31100010010022001110211221211
42110123212222103123210
52314104322241210040
633405512122321204
72101635352145611
oct224334652233344
940103261424854
1010200122210020
113282936086436
121188a28359204
1358cb37896502
1427398d543508
1512a4ddea78ea
hex946e6a936e4

10200122210020 has 48 divisors (see below), whose sum is σ = 21522017583360. Its totient is φ = 4060710061056.

The previous prime is 10200122210009. The next prime is 10200122210071. The reversal of 10200122210020 is 2001222100201.

It is a happy number.

10200122210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2311141 + ... + 5073619.

It is an arithmetic number, because the mean of its divisors is an integer number (448375366320).

Almost surely, 210200122210020 is an apocalyptic number.

10200122210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200122210020 is an abundant number, since it is smaller than the sum of its proper divisors (11321895373340).

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

10200122210020 is a wasteful number, since it uses less digits than its factorization.

10200122210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763364 (or 2763362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10200122210020 its reverse (2001222100201), we get a palindrome (12201344310221).

The spelling of 10200122210020 in words is "ten trillion, two hundred billion, one hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 353 523 706 1046 1412 1765 2092 2615 3530 5230 7060 10460 184619 369238 738476 923095 1846190 2762479 3692380 5524958 11049916 13812395 27624790 55249580 975155087 1444776517 1950310174 2889553034 3900620348 4875775435 5779106068 7223882585 9751550870 14447765170 19503101740 28895530340 510006110501 1020012221002 2040024442004 2550030552505 5100061105010 10200122210020