Search a number
-
+
1341212112 = 2432371391811
BaseRepresentation
bin100111111110001…
…0100010111010000
310110110201122010200
41033330110113100
510221322241422
6341030455200
745144054252
oct11774242720
93413648120
101341212112
11629096569
12315204500
13184b37446
14ca1abcd2
157cb312ac
hex4ff145d0

1341212112 has 120 divisors (see below), whose sum is σ = 3884855520. Its totient is φ = 431619840.

The previous prime is 1341212099. The next prime is 1341212141. The reversal of 1341212112 is 2112121431.

1341212112 is a `hidden beast` number, since 1 + 341 + 212 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 739687 + ... + 741497.

It is an arithmetic number, because the mean of its divisors is an integer number (32373796).

Almost surely, 21341212112 is an apocalyptic number.

1341212112 is a gapful number since it is divisible by the number (12) 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 1341212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942427760).

1341212112 is an abundant number, since it is smaller than the sum of its proper divisors (2543643408).

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

1341212112 is a wasteful number, since it uses less digits than its factorization.

1341212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1992 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 1341212112 is about 36622.5628813714. The cubic root of 1341212112 is about 1102.8060895995.

Adding to 1341212112 its reverse (2112121431), we get a palindrome (3453333543).

The spelling of 1341212112 in words is "one billion, three hundred forty-one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 139 144 148 222 278 296 333 417 444 556 592 666 834 888 1112 1251 1332 1668 1776 1811 2224 2502 2664 3336 3622 5004 5143 5328 5433 6672 7244 10008 10286 10866 14488 15429 16299 20016 20572 21732 28976 30858 32598 41144 43464 46287 61716 65196 67007 82288 86928 92574 123432 130392 134014 185148 201021 246864 251729 260784 268028 370296 402042 503458 536056 603063 740592 755187 804084 1006916 1072112 1206126 1510374 1608168 2013832 2265561 2412252 3020748 3216336 4027664 4531122 4824504 6041496 9062244 9313973 9649008 12082992 18124488 18627946 27941919 36248976 37255892 55883838 74511784 83825757 111767676 149023568 167651514 223535352 335303028 447070704 670606056 1341212112