Search a number
-
+
1132141235412 = 2231150325316737
BaseRepresentation
bin10000011110011000111…
…000000100110011010100
311000020020212110200220010
4100132120320010303110
5122022111124013122
62224033135440220
7144536341502145
oct20363070046324
94006225420803
101132141235412
113a7158237970
121634bb986070
13829b6968175
143cb20053acc
151e6b2589e0c
hex10798e04cd4

1132141235412 has 96 divisors (see below), whose sum is σ = 2889112955904. Its totient is φ = 342204966400.

The previous prime is 1132141235411. The next prime is 1132141235429. The reversal of 1132141235412 is 2145321412311.

It is a self number, because there is not a number n which added to its sum of digits gives 1132141235412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132141235411) by changing a digit.

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, 168044908 + ... + 168051644.

It is an arithmetic number, because the mean of its divisors is an integer number (30094926624).

Almost surely, 21132141235412 is an apocalyptic number.

1132141235412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1132141235412 is an abundant number, since it is smaller than the sum of its proper divisors (1756971720492).

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

1132141235412 is a wasteful number, since it uses less digits than its factorization.

1132141235412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9789 (or 9787 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

Adding to 1132141235412 its reverse (2145321412311), we get a palindrome (3277462647723).

The spelling of 1132141235412 in words is "one trillion, one hundred thirty-two billion, one hundred forty-one million, two hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 503 1006 1509 2012 2531 3018 5062 5533 6036 6737 7593 10124 11066 13474 15186 16599 20211 22132 26948 27841 30372 33198 40422 55682 66396 74107 80844 83523 111364 148214 167046 222321 296428 334092 444642 889284 1273093 2546186 3388711 3819279 5092372 6777422 7638558 10166133 13554844 14004023 15277116 17051347 20332266 28008046 34102694 37275821 40664532 42012069 51154041 56016092 68205388 74551642 84024138 102308082 111827463 149103284 168048276 187564817 204616164 223654926 375129634 447309852 562694451 750259268 1125388902 2250777804 8576827541 17153655082 25730482623 34307310164 51460965246 94345102951 102921930492 188690205902 283035308853 377380411804 566070617706 1132141235412