Search a number
-
+
1210220012100 = 2235211461795517
BaseRepresentation
bin10001100111000110101…
…110111110001001000100
311021200210022110111222010
4101213012232332021010
5124312012310341400
62323544542534220
7153302244241461
oct21470656761104
94250708414863
101210220012100
11427284712490
12176670297370
138a17aa48248
144280999c668
1521732057450
hex119c6bbe244

1210220012100 has 144 divisors (see below), whose sum is σ = 3828185355456. Its totient is φ = 292749888000.

The previous prime is 1210220012081. The next prime is 1210220012203. The reversal of 1210220012100 is 12100220121.

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, 1123542 + ... + 1919058.

It is an arithmetic number, because the mean of its divisors is an integer number (26584620524).

Almost surely, 21210220012100 is an apocalyptic number.

1210220012100 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 1210220012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914092677728).

1210220012100 is an abundant number, since it is smaller than the sum of its proper divisors (2617965343356).

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

1210220012100 is a wasteful number, since it uses less digits than its factorization.

1210220012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796006 (or 795999 counting only the distinct ones).

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

Adding to 1210220012100 its reverse (12100220121), we get a palindrome (1222320232221).

The spelling of 1210220012100 in words is "one trillion, two hundred ten billion, two hundred twenty million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 461 550 660 825 922 1100 1383 1650 1844 2305 2766 3300 4610 5071 5532 6915 9220 10142 11525 13830 15213 20284 23050 25355 27660 30426 34575 46100 50710 60852 69150 76065 101420 126775 138300 152130 253550 304260 380325 507100 760650 795517 1521300 1591034 2386551 3182068 3977585 4773102 7955170 8750687 9546204 11932755 15910340 17501374 19887925 23865510 26252061 35002748 39775850 43753435 47731020 52504122 59663775 79551700 87506870 105008244 119327550 131260305 175013740 218767175 238655100 262520610 366733337 437534350 525041220 656301525 733466674 875068700 1100200011 1312603050 1466933348 1833666685 2200400022 2625206100 3667333370 4034066707 4400800044 5501000055 7334666740 8068133414 9168333425 11002000110 12102200121 16136266828 18336666850 20170333535 22004000220 24204400242 27505000275 36673333700 40340667070 48408800484 55010000550 60511000605 80681334140 100851667675 110020001100 121022001210 201703335350 242044002420 302555003025 403406670700 605110006050 1210220012100