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21121888188 = 2232967789653
BaseRepresentation
bin10011101010111101…
…100110111110111100
32000112000120002112010
4103222331212332330
5321224200410223
613411523211220
71345264041642
oct235275467674
960460502463
1021121888188
118a59834245
124115816b10
131cb7c502bb
1410452c1192
158394c7393
hex4eaf66fbc

21121888188 has 48 divisors (see below), whose sum is σ = 51059746080. Its totient is φ = 6787732224.

The previous prime is 21121888171. The next prime is 21121888189. The reversal of 21121888188 is 88188812112.

It is a super-2 number, since 2×211218881882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121888189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190770 + ... + 280422.

It is an arithmetic number, because the mean of its divisors is an integer number (1063744710).

Almost surely, 221121888188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121888188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25529873040).

21121888188 is an abundant number, since it is smaller than the sum of its proper divisors (29937857892).

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

21121888188 is a wasteful number, since it uses less digits than its factorization.

21121888188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90366 (or 90364 counting only the distinct ones).

The product of its digits is 131072, while the sum is 48.

The spelling of 21121888188 in words is "twenty-one billion, one hundred twenty-one million, eight hundred eighty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 677 1354 2031 2708 4062 8124 19633 39266 58899 78532 89653 117798 179306 235596 268959 358612 537918 1075836 2599937 5199874 7799811 10399748 15599622 31199244 60695081 121390162 182085243 242780324 364170486 728340972 1760157349 3520314698 5280472047 7040629396 10560944094 21121888188