Search a number
-
+
1221021021100 = 225243301194307
BaseRepresentation
bin10001110001001010100…
…001100011001110101100
311022201200001110121212111
4101301022201203032230
5130001122340133400
62332532422013404
7154134016301566
oct21611241431654
94281601417774
101221021021100
11430917597401
12178785577264
138b1ac67c92a
1443152270336
1521b653db3ba
hex11c4a8633ac

1221021021100 has 72 divisors (see below), whose sum is σ = 2712163785408. Its totient is φ = 476886580800.

The previous prime is 1221021021083. The next prime is 1221021021151. The reversal of 1221021021100 is 11201201221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12900147 + ... + 12994453.

It is an arithmetic number, because the mean of its divisors is an integer number (37668941464).

Almost surely, 21221021021100 is an apocalyptic number.

1221021021100 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 1221021021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356081892704).

1221021021100 is an abundant number, since it is smaller than the sum of its proper divisors (1491142764308).

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

1221021021100 is a wasteful number, since it uses less digits than its factorization.

1221021021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97375 (or 97368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1221021021100 its reverse (11201201221), we get a palindrome (1232222222321).

The spelling of 1221021021100 in words is "one trillion, two hundred twenty-one billion, twenty-one million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 3011 4300 6022 12044 15055 30110 60220 75275 94307 129473 150550 188614 258946 301100 377228 471535 517892 647365 943070 1294730 1886140 2357675 2589460 3236825 4055201 4715350 6473650 8110402 9430700 12947300 16220804 20276005 40552010 81104020 101380025 202760050 283958377 405520100 567916754 1135833508 1419791885 2839583770 5679167540 7098959425 12210210211 14197918850 24420420422 28395837700 48840840844 61051051055 122102102110 244204204220 305255255275 610510510550 1221021021100