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2220012221100 = 2235237709282089
BaseRepresentation
bin100000010011100011000…
…010100011001010101100
321212020020110122200220120
4200103203002203022230
5242333041112033400
64415505354244540
7316250654346012
oct40234302431254
97766213580816
102220012221100
11786558028993
122ba305726750
1313146694999b
14796407188b2
153cb332d3ca0
hex204e30a32ac

2220012221100 has 144 divisors (see below), whose sum is σ = 6606164157600. Its totient is φ = 575188715520.

The previous prime is 2220012221087. The next prime is 2220012221107. The reversal of 2220012221100 is 11222100222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2220012221100.

It is not an unprimeable number, because it can be changed into a prime (2220012221107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7728856 + ... + 8010944.

Almost surely, 22220012221100 is an apocalyptic number.

2220012221100 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 2220012221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303082078800).

2220012221100 is an abundant number, since it is smaller than the sum of its proper divisors (4386151936500).

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

2220012221100 is a wasteful number, since it uses less digits than its factorization.

2220012221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282852 (or 282845 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2220012221100 its reverse (11222100222), we get a palindrome (2231234321322).

The spelling of 2220012221100 in words is "two trillion, two hundred twenty billion, twelve million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 709 740 925 1110 1418 1850 2127 2220 2775 2836 3545 3700 4254 5550 7090 8508 10635 11100 14180 17725 21270 26233 35450 42540 52466 53175 70900 78699 104932 106350 131165 157398 212700 262330 282089 314796 393495 524660 564178 655825 786990 846267 1128356 1311650 1410445 1573980 1692534 1967475 2623300 2820890 3385068 3934950 4231335 5641780 7052225 7869900 8462670 10437293 14104450 16925340 20874586 21156675 28208900 31311879 41749172 42313350 52186465 62623758 84626700 104372930 125247516 156559395 200001101 208745860 260932325 313118790 400002202 521864650 600003303 626237580 782796975 800004404 1000005505 1043729300 1200006606 1565593950 2000011010 2400013212 3000016515 3131187900 4000022020 5000027525 6000033030 7400040737 10000055050 12000066060 14800081474 15000082575 20000110100 22200122211 29600162948 30000165150 37000203685 44400244422 60000330300 74000407370 88800488844 111000611055 148000814740 185001018425 222001222110 370002036850 444002444220 555003055275 740004073700 1110006110550 2220012221100