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21022211100 = 223521113034889
BaseRepresentation
bin10011100101000001…
…010111110000011100
32000021001222222021010
4103211001113300130
5321023141223400
613354002535220
71342643563122
oct234501276034
960231888233
1021022211100
118a08543390
1240a8367510
131ca03c0787
141035d75912
15830888450
hex4e5057c1c

21022211100 has 144 divisors (see below), whose sum is σ = 66418248960. Its totient is φ = 5091340800.

The previous prime is 21022211051. The next prime is 21022211107. The reversal of 21022211100 is 111222012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022211107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4297456 + ... + 4302344.

It is an arithmetic number, because the mean of its divisors is an integer number (461237840).

Almost surely, 221022211100 is an apocalyptic number.

21022211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33209124480).

21022211100 is an abundant number, since it is smaller than the sum of its proper divisors (45396037860).

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

21022211100 is a wasteful number, since it uses less digits than its factorization.

21022211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6220 (or 6213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21022211100 its reverse (111222012), we get a palindrome (21133433112).

The spelling of 21022211100 in words is "twenty-one billion, twenty-two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1303 1650 2606 3300 3909 4889 5212 6515 7818 9778 13030 14333 14667 15636 19545 19556 24445 26060 28666 29334 32575 39090 42999 48890 53779 57332 58668 65150 71665 73335 78180 85998 97725 97780 107558 122225 130300 143330 146670 161337 171996 195450 214995 215116 244450 268895 286660 293340 322674 358325 366675 390900 429990 488900 537790 645348 716650 733350 806685 859980 1074975 1075580 1344475 1433300 1466700 1613370 2149950 2688950 3226740 4033425 4299900 5377900 6370367 8066850 12740734 16133700 19111101 25481468 31851835 38222202 63703670 70074037 76444404 95555505 127407340 140148074 159259175 191111010 210222111 280296148 318518350 350370185 382222020 420444222 477777525 637036700 700740370 840888444 955555050 1051110555 1401480740 1751850925 1911110100 2102221110 3503701850 4204442220 5255552775 7007403700 10511105550 21022211100