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10022012201120 = 25562637576257
BaseRepresentation
bin1001000111010110111001…
…1110100010100010100000
31022111002120021001221002112
42101311232132202202200
52303200040110413440
633152014314534452
72053031543100623
oct221655636424240
938432507057075
1010022012201120
113214347683577
12115a3bb737428
135790c168cbba
142690d4767dba
15125a67681965
hex91d6e7a28a0

10022012201120 has 24 divisors (see below), whose sum is σ = 23677003825524. Its totient is φ = 4008804880384.

The previous prime is 10022012201101. The next prime is 10022012201129. The reversal of 10022012201120 is 2110221022001.

It can be written as a sum of positive squares in 2 ways, for example, as 9690544865296 + 331467335824 = 3112964^2 + 575732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10022012201095 and 10022012201104.

It is not an unprimeable number, because it can be changed into a prime (10022012201129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31318787969 + ... + 31318788288.

Almost surely, 210022012201120 is an apocalyptic number.

10022012201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022012201120 is an abundant number, since it is smaller than the sum of its proper divisors (13654991624404).

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

10022012201120 is an equidigital number, since it uses as much as digits as its factorization.

10022012201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62637576272 (or 62637576264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10022012201120 its reverse (2110221022001), we get a palindrome (12132233223121).

The spelling of 10022012201120 in words is "ten trillion, twenty-two billion, twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 62637576257 125275152514 250550305028 313187881285 501100610056 626375762570 1002201220112 1252751525140 2004402440224 2505503050280 5011006100560 10022012201120