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112053423144 = 233131728037537
BaseRepresentation
bin110100001011011100…
…1111000110000101000
3101201020012021200101010
41220112321320300220
53313441134020034
6123250541423520
711044534244565
oct1502671706050
9351205250333
10112053423144
1143581266333
121987256aba0
13a749a5a7a0
1455cdbc786c
152dac50e3e9
hex1a16e78c28

112053423144 has 128 divisors (see below), whose sum is σ = 319584666240. Its totient is φ = 32433979392.

The previous prime is 112053423137. The next prime is 112053423187. The reversal of 112053423144 is 441324350211.

It is an unprimeable number.

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, 14863344 + ... + 14870880.

It is an arithmetic number, because the mean of its divisors is an integer number (2496755205).

Almost surely, 2112053423144 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 112053423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159792333120).

112053423144 is an abundant number, since it is smaller than the sum of its proper divisors (207531243096).

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

112053423144 is a wasteful number, since it uses less digits than its factorization.

112053423144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10379 (or 10375 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 112053423144 its reverse (441324350211), we get a palindrome (553377773355).

The spelling of 112053423144 in words is "one hundred twelve billion, fifty-three million, four hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 2803 5304 5606 7537 8409 11212 15074 16818 22424 22611 30148 33636 36439 45222 47651 60296 67272 72878 90444 95302 97981 109317 128129 142953 145756 180888 190604 195962 218634 256258 285906 291512 293943 381208 384387 391924 437268 512516 571812 587886 619463 768774 783848 874536 1025032 1143624 1175772 1238926 1537548 1665677 1858389 2351544 2477852 3075096 3331354 3716778 4955704 4997031 6662708 7433556 9994062 13325416 14867112 19988124 21126211 39976248 42252422 63378633 84504844 126757266 169009688 253514532 274640743 359145587 507029064 549281486 718291174 823922229 1077436761 1098562972 1436582348 1647844458 2154873522 2197125944 2873164696 3295688916 4309747044 4668892631 6591377832 8619494088 9337785262 14006677893 18675570524 28013355786 37351141048 56026711572 112053423144