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20212222100220 = 223253671050129137
BaseRepresentation
bin1001001100010000001100…
…10100011000001011111100
32122120021021111210012201200
410212020012110120023330
510122124112324201340
6110553211110135500
74154166464064063
oct446100624301374
978507244705650
1020212222100220
116492a56498007
122325320351590
13b3800978c077
144dc3c36531da
15250b762ed330
hex1262065182fc

20212222100220 has 144 divisors (see below), whose sum is σ = 61485429952128. Its totient is φ = 5374543104000.

The previous prime is 20212222100171. The next prime is 20212222100251. The reversal of 20212222100220 is 2200122221202.

20212222100220 is a `hidden beast` number, since 2 + 0 + 212 + 22 + 210 + 0 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20212222100193 and 20212222100202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693681492 + ... + 693710628.

Almost surely, 220212222100220 is an apocalyptic number.

20212222100220 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 20212222100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30742714976064).

20212222100220 is an abundant number, since it is smaller than the sum of its proper divisors (41273207851908).

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

20212222100220 is a wasteful number, since it uses less digits than its factorization.

20212222100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40020 (or 40015 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20212222100220 its reverse (2200122221202), we get a palindrome (22412344321422).

The spelling of 20212222100220 in words is "twenty trillion, two hundred twelve billion, two hundred twenty-two million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 367 734 1101 1468 1835 2202 3303 3670 4404 5505 6606 7340 10501 11010 13212 16515 21002 22020 29137 31503 33030 42004 52505 58274 63006 66060 87411 94509 105010 116548 126012 145685 157515 174822 189018 210020 262233 291370 315030 349644 378036 437055 472545 524466 582740 630060 874110 945090 1048932 1311165 1748220 1890180 2622330 3853867 5244660 7707734 10693279 11561601 15415468 19269335 21386558 23123202 32079837 34684803 38538670 42773116 46246404 53466395 57808005 64159674 69369606 77077340 96239511 106932790 115616010 128319348 138739212 160399185 173424015 192479022 213865580 231232020 305967637 320798370 346848030 384958044 481197555 611935274 641596740 693696060 917902911 962395110 1223870548 1529838185 1835805822 1924790220 2753708733 3059676370 3671611644 4589514555 5507417466 6119352740 9179029110 11014834932 13768543665 18358058220 27537087330 55074174660 112290122779 224580245558 336870368337 449160491116 561450613895 673740736674 1010611105011 1122901227790 1347481473348 1684351841685 2021222210022 2245802455580 3368703683370 4042444420044 5053055525055 6737407366740 10106111050110 20212222100220