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2220221212100 = 2252311361526231
BaseRepresentation
bin100000010011101111011…
…111110010010111000100
321212020210000220112122222
4200103233133302113010
5242334003112241400
64415542221511512
7316256102631143
oct40235737622704
97766700815588
102220221212100
11786654aa1a21
122ba363712598
1313149b0314b8
147966039b75a
153cb46817185
hex204ef7f25c4

2220221212100 has 72 divisors (see below), whose sum is σ = 4976959120896. Its totient is φ = 858807360000.

The previous prime is 2220221212093. The next prime is 2220221212189. The reversal of 2220221212100 is 12121220222.

It is a happy 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, 3955985 + ... + 4482215.

Almost surely, 22220221212100 is an apocalyptic number.

2220221212100 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 2220221212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488479560448).

2220221212100 is an abundant number, since it is smaller than the sum of its proper divisors (2756737908796).

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

2220221212100 is a wasteful number, since it uses less digits than its factorization.

2220221212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527637 (or 527630 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2220221212100 its reverse (12121220222), we get a palindrome (2232342432322).

The spelling of 2220221212100 in words is "two trillion, two hundred twenty billion, two hundred twenty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1361 1550 2722 3100 5444 6805 13610 27220 34025 42191 68050 84382 136100 168764 210955 421910 526231 843820 1052462 1054775 2104924 2109550 2631155 4219100 5262310 10524620 13155775 16313161 26311550 32626322 52623100 65252644 81565805 163131610 326263220 407829025 716200391 815658050 1432400782 1631316100 2864801564 3581001955 7162003910 14324007820 17905009775 22202212121 35810019550 44404424242 71620039100 88808848484 111011060605 222022121210 444044242420 555055303025 1110110606050 2220221212100