Search a number
-
+
1211344334226 = 2321327123324071
BaseRepresentation
bin10001101000001001101…
…111111010110110010010
311021210200200001222222100
4101220021233322312102
5124321313122143401
62324252305021230
7153342145644525
oct21501157726622
94253620058870
101211344334226
1142780132a324
12176924924816
138a2c9963700
14428b502cbbc
152179aae4b86
hex11a09bfad92

1211344334226 has 144 divisors (see below), whose sum is σ = 2894517804672. Its totient is φ = 365879404800.

The previous prime is 1211344334209. The next prime is 1211344334227. The reversal of 1211344334226 is 6224334431121.

1211344334226 is a `hidden beast` number, since 1 + 211 + 3 + 4 + 433 + 4 + 2 + 2 + 6 = 666.

It is a super-2 number, since 2×12113443342262 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1211344334227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50311771 + ... + 50335841.

It is an arithmetic number, because the mean of its divisors is an integer number (20100818088).

Almost surely, 21211344334226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211344334226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447258902336).

1211344334226 is an abundant number, since it is smaller than the sum of its proper divisors (1683173470446).

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

1211344334226 is a wasteful number, since it uses less digits than its factorization.

1211344334226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24409 (or 24393 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 1211344334226 its reverse (6224334431121), we get a palindrome (7435678765347).

The spelling of 1211344334226 in words is "one trillion, two hundred eleven billion, three hundred forty-four million, three hundred thirty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 169 213 233 234 338 426 466 507 639 699 923 1014 1278 1398 1521 1846 2097 2769 3029 3042 4194 5538 6058 8307 9087 11999 16543 16614 18174 23998 24071 27261 33086 35997 39377 48142 49629 54522 71994 72213 78754 99258 107991 118131 144426 148887 215059 215982 216639 236262 297774 312923 354393 430118 433278 625846 645177 708786 938769 1290354 1709041 1877538 1935531 2795767 2816307 3418082 3871062 4067999 5127123 5591534 5608543 5632614 8135998 8387301 10254246 11217086 12203997 15381369 16774602 16825629 22217533 24407994 25161903 30762738 33651258 36611991 44435066 50323806 50476887 66652599 72911059 73223982 100953774 133305198 145822118 199957797 218733177 288827929 398206553 399915594 437466354 577655858 656199531 796413106 866483787 947843767 1194619659 1312399062 1732967574 1895687534 2389239318 2599451361 2843531301 3583858977 5176685189 5198902722 5687062602 7167717954 8530593903 10353370378 15530055567 17061187806 31060111134 46590166701 67296907457 93180333402 134593814914 201890722371 403781444742 605672167113 1211344334226