Search a number
-
+
1222102000002 = 23131011237125407
BaseRepresentation
bin10001110010001010111…
…101001010000110000010
311022211110101112001011010
4101302022331022012002
5130010331103000002
62333231555101350
7154202553413562
oct21621275120602
94284411461133
101222102000002
1143132179a8a4
12178a275a1856
138b322600910
1443215a5ada2
1521bca26646c
hex11c8af4a182

1222102000002 has 64 divisors (see below), whose sum is σ = 2660451462144. Its totient is φ = 372004358400.

The previous prime is 1222101999961. The next prime is 1222102000013. The reversal of 1222102000002 is 2000002012221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9682383 + ... + 9807789.

It is an arithmetic number, because the mean of its divisors is an integer number (41569554096).

Almost surely, 21222102000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222102000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330225731072).

1222102000002 is an abundant number, since it is smaller than the sum of its proper divisors (1438349462142).

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

1222102000002 is a wasteful number, since it uses less digits than its factorization.

1222102000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126763.

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

Adding to 1222102000002 its reverse (2000002012221), we get a palindrome (3222104012223).

It can be divided in two parts, 122210 and 2000002, that added together give a palindrome (2122212).

The spelling of 1222102000002 in words is "one trillion, two hundred twenty-two billion, one hundred two million, two", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 78 101 202 303 606 1237 1313 2474 2626 3711 3939 7422 7878 16081 32162 48243 96486 124937 125407 249874 250814 374811 376221 749622 752442 1624181 1630291 3248362 3260582 4872543 4890873 9745086 9781746 12666107 25332214 37998321 75996642 155128459 164659391 310256918 329318782 465385377 493978173 930770754 987956346 2016669967 4033339934 6050009901 12100019802 15667974359 31335948718 47003923077 94007846154 203683666667 407367333334 611051000001 1222102000002