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21121111000 = 2353111920101
BaseRepresentation
bin10011101010111010…
…101001001111011000
32000111222002121102101
4103222322221033120
5321224001023000
613411454413144
71345254324043
oct235272511730
960458077371
1021121111000
118a59353340
1241155011b4
131cb7a3a622
14104515bc5a
158393c1e6a
hex4eaea93d8

21121111000 has 64 divisors (see below), whose sum is σ = 53916464160. Its totient is φ = 7680400000.

The previous prime is 21121110977. The next prime is 21121111019. The reversal of 21121111000 is 11112112.

It is a super-2 number, since 2×211211110002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 949051 + ... + 971050.

Almost surely, 221121111000 is an apocalyptic number.

21121111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121111000 is an abundant number, since it is smaller than the sum of its proper divisors (32795353160).

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

21121111000 is a wasteful number, since it uses less digits than its factorization.

21121111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920133 (or 1920119 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21121111000 its reverse (11112112), we get a palindrome (21132223112).

The spelling of 21121111000 in words is "twenty-one billion, one hundred twenty-one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 1920101 3840202 7680404 9600505 15360808 19201010 21121111 38402020 42242222 48002525 76804040 84484444 96005050 105605555 168968888 192010100 211211110 240012625 384020200 422422220 480025250 528027775 844844440 960050500 1056055550 1920101000 2112111100 2640138875 4224222200 5280277750 10560555500 21121111000