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22121211111100 = 2252616435639857
BaseRepresentation
bin1010000011110011111101…
…11011100010011010111100
32220022202201020101210012221
411001321332323202122330
510344413220021023400
6115014202153535124
74442130142665343
oct501717673423274
986282636353187
1022121211111100
117059609a78702
1225932a4a144a4
13c4603791714a
1456695ac36b5a
152856542ebc1a
hex141e7eee26bc

22121211111100 has 72 divisors (see below), whose sum is σ = 48865850298608. Its totient is φ = 8689890124800.

The previous prime is 22121211111061. The next prime is 22121211111119. The reversal of 22121211111100 is 111111212122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1102372 + ... + 6742228.

Almost surely, 222121211111100 is an apocalyptic number.

22121211111100 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 22121211111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24432925149304).

22121211111100 is an abundant number, since it is smaller than the sum of its proper divisors (26744639187508).

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

22121211111100 is a wasteful number, since it uses less digits than its factorization.

22121211111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640575 (or 5640568 counting only the distinct ones).

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

Adding to 22121211111100 its reverse (111111212122), we get a palindrome (22232322323222).

The spelling of 22121211111100 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 643 1220 1286 1525 2572 3050 3215 6100 6430 12860 16075 32150 39223 64300 78446 156892 196115 392230 784460 980575 1961150 3922300 5639857 11279714 22559428 28199285 56398570 112797140 140996425 281992850 344031277 563985700 688062554 1376125108 1720156385 3440312770 3626428051 6880625540 7252856102 8600781925 14505712204 17201563850 18132140255 34403127700 36264280510 72528561020 90660701275 181321402550 221212111111 362642805100 442424222222 884848444444 1106060555555 2212121111110 4424242222220 5530302777775 11060605555550 22121211111100