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20221212222100 = 22524116330257687
BaseRepresentation
bin1001001100100000111100…
…01010111110001010010100
32122121010111001021201111201
410212100132022332022110
510122301020312101400
6111001255135442244
74154635326624001
oct446203612761224
978533431251451
1020221212222100
11649684a1516aa
12232700b086384
13b38b10191106
144dc9d76168a8
152510006c806a
hex12641e2be294

20221212222100 has 72 divisors (see below), whose sum is σ = 45226045222848. Its totient is φ = 7842792211200.

The previous prime is 20221212222097. The next prime is 20221212222103. The reversal of 20221212222100 is 122221212202.

It is an interprime number because it is at equal distance from previous prime (20221212222097) and next prime (20221212222103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221212222103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14460544 + ... + 15797143.

It is an arithmetic number, because the mean of its divisors is an integer number (628139516984).

Almost surely, 220221212222100 is an apocalyptic number.

20221212222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221212222100 is an abundant number, since it is smaller than the sum of its proper divisors (25004833000748).

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

20221212222100 is a wasteful number, since it uses less digits than its factorization.

20221212222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30257905 (or 30257898 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20221212222100 its reverse (122221212202), we get a palindrome (20343433434302).

The spelling of 20221212222100 in words is "twenty trillion, two hundred twenty-one billion, two hundred twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 163 164 205 326 410 652 815 820 1025 1630 2050 3260 4075 4100 6683 8150 13366 16300 26732 33415 66830 133660 167075 334150 668300 30257687 60515374 121030748 151288435 302576870 605153740 756442175 1240565167 1512884350 2481130334 3025768700 4932002981 4962260668 6202825835 9864005962 12405651670 19728011924 24660014905 24811303340 31014129175 49320029810 62028258350 98640059620 123300074525 124056516700 202212122221 246600149050 404424244442 493200298100 808848488884 1011060611105 2022121222210 4044242444420 5055303055525 10110606111050 20221212222100