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1220212100100 = 2235272749211369
BaseRepresentation
bin10001110000011010010…
…011110000110000000100
311022122120200100011212110
4101300122103300300010
5124442443244200400
62332320244021020
7154104664501410
oct21603223606004
94278520304773
101220212100100
11430541a13054
1217859a691770
138b0b0bc5356
14430b6a61d40
1521b193a0e50
hex11c1a4f0c04

1220212100100 has 144 divisors (see below), whose sum is σ = 4036321520000. Its totient is φ = 278802846720.

The previous prime is 1220212100011. The next prime is 1220212100113. The reversal of 1220212100100 is 10012120221.

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

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, 5667216 + ... + 5878584.

Almost surely, 21220212100100 is an apocalyptic number.

1220212100100 is a gapful number since it is divisible by the number (10) 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 1220212100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018160760000).

1220212100100 is an abundant number, since it is smaller than the sum of its proper divisors (2816109419900).

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

1220212100100 is a wasteful number, since it uses less digits than its factorization.

1220212100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214142 (or 214135 counting only the distinct ones).

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

Adding to 1220212100100 its reverse (10012120221), we get a palindrome (1230224220321).

The spelling of 1220212100100 in words is "one trillion, two hundred twenty billion, two hundred twelve million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 2749 5498 8247 10996 13745 16494 19243 27490 32988 38486 41235 54980 57729 68725 76972 82470 96215 115458 137450 164940 192430 206175 211369 230916 274900 288645 384860 412350 422738 481075 577290 634107 824700 845476 962150 1056845 1154580 1268214 1443225 1479583 1924300 2113690 2536428 2886450 2959166 3170535 4227380 4438749 5284225 5772900 5918332 6341070 7397915 8877498 10568450 12682140 14795830 15852675 17754996 21136900 22193745 29591660 31705350 36989575 44387490 63410700 73979150 88774980 110968725 147958300 221937450 443874900 581053381 1162106762 1743160143 2324213524 2905266905 3486320286 4067373667 5810533810 6972640572 8134747334 8715800715 11621067620 12202121001 14526334525 16269494668 17431601430 20336868335 24404242002 29052669050 34863202860 40673736670 43579003575 48808484004 58105338100 61010605005 81347473340 87158007150 101684341675 122021210010 174316014300 203368683350 244042420020 305053025025 406737366700 610106050050 1220212100100