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1113132404124 = 22321314992917183
BaseRepresentation
bin10000001100101011110…
…111001000110110011100
310221102012010000000111200
4100030223313020312130
5121214143343412444
62211211014315500
7143264313215016
oct20145367106634
93842163000450
101113132404124
1139a09324a644
1215b895958b90
1380c77727ac0
143bc3965b1b6
151de4d858969
hex1032bdc8d9c

1113132404124 has 144 divisors (see below), whose sum is σ = 3053992032000. Its totient is φ = 339817623552.

The previous prime is 1113132404107. The next prime is 1113132404147. The reversal of 1113132404124 is 4214042313111.

It is a happy number.

1113132404124 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 3 + 240 + 412 + 4 = 666.

It is a super-2 number, since 2×11131324041242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64772437 + ... + 64789619.

It is an arithmetic number, because the mean of its divisors is an integer number (21208278000).

Almost surely, 21113132404124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113132404124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526996016000).

1113132404124 is an abundant number, since it is smaller than the sum of its proper divisors (1940859627876).

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

1113132404124 is a wasteful number, since it uses less digits than its factorization.

1113132404124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18284 (or 18279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1113132404124 its reverse (4214042313111), we get a palindrome (5327174717235).

The spelling of 1113132404124 in words is "one trillion, one hundred thirteen billion, one hundred thirty-two million, four hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 234 298 447 468 596 894 929 1341 1788 1858 1937 2682 2787 3716 3874 5364 5574 5811 7748 8361 11148 11622 12077 16722 17183 17433 23244 24154 33444 34366 34866 36231 48308 51549 68732 69732 72462 103098 108693 138421 144924 154647 206196 217386 223379 276842 309294 415263 434772 446758 553684 618588 670137 830526 893516 1245789 1340274 1661052 1799473 2010411 2491578 2560267 2680548 3598946 4020822 4983156 5120534 5398419 7197892 7680801 8041644 10241068 10796838 15361602 15963007 16195257 21593676 23042403 30723204 31926014 32390514 33283471 46084806 47889021 63852028 64781028 66566942 92169612 95778042 99850413 133133884 143667063 191556084 199700826 207519091 287334126 299551239 399401652 415038182 574668252 599102478 622557273 830076364 1198204956 1245114546 1867671819 2378488043 2490229092 3735343638 4756976086 7135464129 7470687276 9513952172 14270928258 21406392387 28541856516 30920344559 42812784774 61840689118 85625569548 92761033677 123681378236 185522067354 278283101031 371044134708 556566202062 1113132404124