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2122201203100 = 22521110161930859
BaseRepresentation
bin11110111000011101000…
…011001000000110011100
321111212202211222011110021
4132320131003020012130
5234232232001444400
64302531544521524
7306216060410146
oct36703503100634
97455684864407
102122201203100
11749025287420
122a3368a802a4
131251797b1884
1474a022a7c96
153a30b33b71a
hex1ee1d0c819c

2122201203100 has 144 divisors (see below), whose sum is σ = 5081930985600. Its totient is φ = 762809760000.

The previous prime is 2122201203047. The next prime is 2122201203107. The reversal of 2122201203100 is 13021022212.

It is a happy number.

It is a super-2 number, since 2×21222012031002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122201203107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68755471 + ... + 68786329.

It is an arithmetic number, because the mean of its divisors is an integer number (35291187400).

Almost surely, 22122201203100 is an apocalyptic number.

2122201203100 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 2122201203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540965492800).

2122201203100 is an abundant number, since it is smaller than the sum of its proper divisors (2959729782500).

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

2122201203100 is a wasteful number, since it uses less digits than its factorization.

2122201203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31604 (or 31597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2122201203100 its reverse (13021022212), we get a palindrome (2135222225312).

The spelling of 2122201203100 in words is "two trillion, one hundred twenty-two billion, two hundred one million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 619 1010 1100 1111 1238 2020 2222 2476 2525 3095 4444 5050 5555 6190 6809 10100 11110 12380 13618 15475 22220 27236 27775 30859 30950 34045 55550 61718 61900 62519 68090 111100 123436 125038 136180 154295 170225 250076 308590 312595 339449 340450 617180 625190 678898 680900 687709 771475 1250380 1357796 1375418 1542950 1562975 1697245 2750836 3085900 3116759 3125950 3394490 3438545 6233518 6251900 6788980 6877090 8486225 12467036 13754180 15583795 16972450 17192725 19101721 31167590 33944900 34284349 34385450 38203442 62335180 68568698 68770900 76406884 77918975 95508605 137137396 155837950 171421745 191017210 210118931 311675900 342843490 382034420 420237862 477543025 685686980 840475724 857108725 955086050 1050594655 1714217450 1910172100 1929273821 2101189310 3428434900 3858547642 4202378620 5252973275 7717095284 9646369105 10505946550 19292738210 21011893100 21222012031 38585476420 42444024062 48231845525 84888048124 96463691050 106110060155 192927382100 212220120310 424440240620 530550300775 1061100601550 2122201203100