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1010343142112 = 251719355727481
BaseRepresentation
bin11101011001111010010…
…01001110001011100000
310120120212112212111002112
432230331021032023200
5113023140321021422
62052051211534452
7132665150003213
oct16547511161340
93516775774075
101010343142112
1135a536400727
12143989a5a428
13743760aa885
1436c87dad77a
151b434805ee2
hexeb3d24e2e0

1010343142112 has 96 divisors (see below), whose sum is σ = 2217672082080. Its totient is φ = 450288599040.

The previous prime is 1010343142111. The next prime is 1010343142177. The reversal of 1010343142112 is 2112413430101.

1010343142112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010343142111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36751412 + ... + 36778892.

It is an arithmetic number, because the mean of its divisors is an integer number (23100750855).

Almost surely, 21010343142112 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 1010343142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108836041040).

1010343142112 is an abundant number, since it is smaller than the sum of its proper divisors (1207328939968).

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

1010343142112 is a wasteful number, since it uses less digits than its factorization.

1010343142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31084 (or 31076 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1010343142112 its reverse (2112413430101), we get a palindrome (3122756572213).

The spelling of 1010343142112 in words is "one trillion, ten billion, three hundred forty-three million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 3557 5168 7114 10336 14228 27481 28456 54962 56912 60469 67583 109924 113824 120938 135166 219848 241876 270332 439696 467177 483752 522139 540664 879392 934354 967504 1044278 1081328 1148911 1868708 1935008 2088556 2162656 2297822 3737416 4177112 4595644 7474832 8354224 8876363 9191288 14949664 16708448 17752726 18382576 35505452 36765152 71010904 97749917 142021808 195499834 284043616 390999668 781999336 1563998672 1661748589 1857248423 3127997344 3323497178 3714496846 6646994356 7428993692 13293988712 14857987384 26587977424 29715974768 31573223191 53175954848 59431949536 63146446382 126292892764 252585785528 505171571056 1010343142112