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101056056052 = 22729831639199
BaseRepresentation
bin101111000011101101…
…0010000101011110100
3100122211202210112210211
41132013122100223310
53123430322243202
6114231405555204
710205156206060
oct1360732205364
9318752715724
10101056056052
11399485666a6
1217703575b04
1396b6545693
144c69400aa0
152966ce01d7
hex1787690af4

101056056052 has 96 divisors (see below), whose sum is σ = 212921856000. Its totient is φ = 41054573952.

The previous prime is 101056056037. The next prime is 101056056089. The reversal of 101056056052 is 250650650101.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10980949 + ... + 10990147.

It is an arithmetic number, because the mean of its divisors is an integer number (2217936000).

Almost surely, 2101056056052 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 101056056052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106460928000).

101056056052 is an abundant number, since it is smaller than the sum of its proper divisors (111865799948).

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

101056056052 is a wasteful number, since it uses less digits than its factorization.

101056056052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9485 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 101056056052 in words is "one hundred one billion, fifty-six million, fifty-six thousand, fifty-two".

Divisors: 1 2 4 7 14 28 29 58 83 116 163 166 203 326 332 406 581 652 812 1141 1162 2282 2324 2407 4564 4727 4814 9199 9454 9628 13529 16849 18398 18908 27058 33089 33698 36796 54116 64393 66178 67396 94703 128786 132356 189406 257572 266771 378812 392341 533542 763517 784682 1067084 1499437 1527034 1569364 1867397 2746387 2998874 3054068 3734794 5344619 5492774 5997748 7469588 10496059 10689238 10985548 20992118 21378476 22141993 41984236 43483673 44283986 86967346 88567972 124453271 154993951 173934692 248906542 304385711 309987902 497813084 608771422 619975804 871172897 1217542844 1742345794 3484691588 3609144859 7218289718 14436579436 25264014013 50528028026 101056056052