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21121110210112 = 261130001577003
BaseRepresentation
bin1001100110101101001000…
…10001010111011001000000
32202210011021111010001121021
410303112210101113121000
510232022013203210422
6112530523140435224
74306643541412333
oct463264421273100
982704244101537
1021121110210112
11680345a0a6370
1224514b50a8b14
13ba29347809a3
145303a524661a
1526961dca3dc7
hex1335a4457640

21121110210112 has 28 divisors (see below), whose sum is σ = 45722403354096. Its totient is φ = 9600504640640.

The previous prime is 21121110210107. The next prime is 21121110210113. The reversal of 21121110210112 is 21101201112112.

It is a super-2 number, since 2×211211102101122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21121110210113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15000787798 + ... + 15000789205.

It is an arithmetic number, because the mean of its divisors is an integer number (1632942976932).

Almost surely, 221121110210112 is an apocalyptic number.

21121110210112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21121110210112 is an abundant number, since it is smaller than the sum of its proper divisors (24601293143984).

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

21121110210112 is a wasteful number, since it uses less digits than its factorization.

21121110210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30001577026 (or 30001577016 counting only the distinct ones).

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

Adding to 21121110210112 its reverse (21101201112112), we get a palindrome (42222311322224).

The spelling of 21121110210112 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred ten million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 30001577003 60003154006 120006308012 240012616024 330017347033 480025232048 660034694066 960050464096 1320069388132 1920100928192 2640138776264 5280277552528 10560555105056 21121110210112