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2220100220100 = 2235274392408179
BaseRepresentation
bin100000010011101000010…
…010001111010011000100
321212020110121020111211210
4200103220102033103010
5242333231124020400
64415522220331420
7316253103335610
oct40235022172304
97766417214753
102220100220100
117865a2772934
122ba32b0a3b70
1313147bc4abb9
147964c2a4340
153cb3adb7950
hex204e848f4c4

2220100220100 has 144 divisors (see below), whose sum is σ = 7357856844800. Its totient is φ = 506295342720.

The previous prime is 2220100220033. The next prime is 2220100220119. The reversal of 2220100220100 is 10220010222.

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, 282190 + ... + 2125989.

Almost surely, 22220100220100 is an apocalyptic number.

2220100220100 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 2220100220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678928422400).

2220100220100 is an abundant number, since it is smaller than the sum of its proper divisors (5137756624700).

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

2220100220100 is a wasteful number, since it uses less digits than its factorization.

2220100220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408642 (or 2408635 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2220100220100 its reverse (10220010222), we get a palindrome (2230320230322).

The spelling of 2220100220100 in words is "two trillion, two hundred twenty billion, one hundred million, two hundred twenty 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 84 100 105 140 150 175 210 300 350 420 439 525 700 878 1050 1317 1756 2100 2195 2634 3073 4390 5268 6146 6585 8780 9219 10975 12292 13170 15365 18438 21950 26340 30730 32925 36876 43900 46095 61460 65850 76825 92190 131700 153650 184380 230475 307300 460950 921900 2408179 4816358 7224537 9632716 12040895 14449074 16857253 24081790 28898148 33714506 36122685 48163580 50571759 60204475 67429012 72245370 84286265 101143518 120408950 144490740 168572530 180613425 202287036 240817900 252858795 337145060 361226850 421431325 505717590 722453700 842862650 1011435180 1057190581 1264293975 1685725300 2114381162 2528587950 3171571743 4228762324 5057175900 5285952905 6343143486 7400334067 10571905810 12686286972 14800668134 15857858715 21143811620 22201002201 26429764525 29601336268 31715717430 37001670335 44402004402 52859529050 63431434860 74003340670 79289293575 88804008804 105719058100 111005011005 148006681340 158578587150 185008351675 222010022010 317157174300 370016703350 444020044020 555025055025 740033406700 1110050110050 2220100220100