Search a number
-
+
10222120001000 = 235310222120001
BaseRepresentation
bin1001010011000000010111…
…0101001101110111101000
31100012020002010012102020002
42110300011311031313220
52314434400210013000
633423551015322132
72103344443244165
oct224600565156750
940166063172202
1010222120001000
1132911a4283386
121191147380348
13591c32123b8b
14274a78cab06c
1512ad7a2eb8d5
hex94c05d4dde8

10222120001000 has 32 divisors (see below), whose sum is σ = 23919760804680. Its totient is φ = 4088848000000.

The previous prime is 10222120000999. The next prime is 10222120001057. The reversal of 10222120001000 is 10002122201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 396766451236 + 9825353549764 = 629894^2 + 3134542^2 .

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, 5111059001 + ... + 5111061000.

Almost surely, 210222120001000 is an apocalyptic number.

10222120001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222120001000 is an abundant number, since it is smaller than the sum of its proper divisors (13697640803680).

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

10222120001000 is a wasteful number, since it uses less digits than its factorization.

10222120001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222120022 (or 10222120008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10222120001000 its reverse (10002122201), we get a palindrome (10232122123201).

The spelling of 10222120001000 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10222120001 20444240002 40888480004 51110600005 81776960008 102221200010 204442400020 255553000025 408884800040 511106000050 1022212000100 1277765000125 2044424000200 2555530000250 5111060000500 10222120001000