Search a number
-
+
1111231112301 = 342341431931753
BaseRepresentation
bin10000001010111010100…
…010010010010001101101
310221020021121101101110000
4100022322202102101231
5121201300131043201
62210254215134513
7143166225415122
oct20127242222155
93836247341400
101111231112301
113992a7aa1992
1215b445074439
1380a3386125b
143bad8d38749
151dd8b992d86
hex102ba89246d

1111231112301 has 160 divisors (see below), whose sum is σ = 1826122459392. Its totient is φ = 671368642560.

The previous prime is 1111231112291. The next prime is 1111231112311. The reversal of 1111231112301 is 1032111321111.

1111231112301 is a `hidden beast` number, since 11 + 11 + 231 + 112 + 301 = 666.

It is an interprime number because it is at equal distance from previous prime (1111231112291) and next prime (1111231112311).

It is not a de Polignac number, because 1111231112301 - 223 = 1111222723693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111231112311) 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 159 ways as a sum of consecutive naturals, for example, 633901641 + ... + 633903393.

Almost surely, 21111231112301 is an apocalyptic number.

It is an amenable number.

1111231112301 is a deficient number, since it is larger than the sum of its proper divisors (714891347091).

1111231112301 is a wasteful number, since it uses less digits than its factorization.

1111231112301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1111231112301 its reverse (1032111321111), we get a palindrome (2143342433412).

The spelling of 1111231112301 in words is "one trillion, one hundred eleven billion, two hundred thirty-one million, one hundred twelve thousand, three hundred one".

Divisors: 1 3 9 23 27 41 43 69 81 123 129 193 207 369 387 579 621 943 989 1107 1161 1737 1753 1763 1863 2829 2967 3321 3483 4439 5211 5259 5289 7913 8299 8487 8901 13317 15633 15777 15867 23739 24897 25461 26703 39951 40319 40549 47331 47601 71217 71873 74691 75379 76383 80109 119853 120957 121647 141993 142803 181999 190877 213651 215619 224073 226137 338329 340259 359559 362871 364941 545997 572631 640953 646857 672219 678411 1014987 1020777 1088613 1094823 1637991 1653079 1717893 1733717 1940571 2035233 3044961 3062331 3090539 3265839 3284469 4913973 4959237 5153679 5201151 5821713 6105699 7781567 7825957 9134883 9186993 9271617 13871489 14548147 14741919 14877711 15461037 15603453 23344701 23477871 27404649 27560979 27814851 41614467 43644441 44633133 46810359 70034103 70433613 71082397 83444553 124843401 130933323 133899399 140431077 210102309 211300839 213247191 250333659 319044247 334607381 374530203 392799969 596474027 630306927 633902517 639741573 957132741 1003822143 1123590609 1178399907 1789422081 1919224719 2871398223 3011466429 5368266243 5757674157 8614194669 9034399287 13718902621 16104798729 25842584007 27103197861 41156707863 48314396187 123470123589 370410370767 1111231112301