Search a number
-
+
701001010112 = 26131785957697
BaseRepresentation
bin10100011001101101110…
…10101000101111000000
32111000101222001222110112
422030312322220233000
542441122224310422
61254011352250452
7101434313162234
oct12146672505700
92430358058415
10701001010112
11250324882387
12b3a379a0a28
135114796bb10
1425d002365c4
151337bdd7ee2
hexa336ea8bc0

701001010112 has 112 divisors (see below), whose sum is σ = 1588047441120. Its totient is φ = 304147464192.

The previous prime is 701001010033. The next prime is 701001010117. The reversal of 701001010112 is 211010100107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (701001010117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12120848 + ... + 12178544.

It is an arithmetic number, because the mean of its divisors is an integer number (14178995010).

Almost surely, 2701001010112 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 701001010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794023720560).

701001010112 is an abundant number, since it is smaller than the sum of its proper divisors (887046431008).

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

701001010112 is a wasteful number, since it uses less digits than its factorization.

701001010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58598 (or 58588 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 701001010112 its reverse (211010100107), we get a palindrome (912011110219).

The spelling of 701001010112 in words is "seven hundred one billion, one million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 859 884 1088 1718 1768 3436 3536 6872 7072 11167 13744 14144 14603 22334 27488 29206 44668 54976 57697 58412 89336 115394 116824 178672 189839 230788 233648 357344 379678 461576 467296 714688 750061 759356 923152 934592 980849 1500122 1518712 1846304 1961698 3000244 3037424 3692608 3923396 6000488 6074848 7846792 12000976 12149696 12751037 15693584 24001952 25502074 31387168 48003904 49561723 51004148 62774336 99123446 102008296 198246892 204016592 396493784 408033184 644302399 792987568 816066368 842549291 1288604798 1585975136 1685098582 2577209596 3171950272 3370197164 5154419192 6740394328 10308838384 10953140783 13480788656 20617676768 21906281566 26961577312 41235353536 43812563132 53923154624 87625126264 175250252528 350500505056 701001010112