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101053266216 = 23375910398981
BaseRepresentation
bin101111000011100111…
…1100111100100101000
3100122211120112210212120
41132013033213210220
53123424114004331
6114231230111240
710205123406330
oct1360717474450
9318746483776
10101053266216
1139946a30651
121770264b520
1396b5aa98a6
144c68cb60c0
15296693d796
hex17873e7928

101053266216 has 128 divisors (see below), whose sum is σ = 296470886400. Its totient is φ = 28107152640.

The previous prime is 101053266191. The next prime is 101053266247. The reversal of 101053266216 is 612662350101.

It is a super-2 number, since 2×1010532662162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971446 + ... + 1070426.

It is an arithmetic number, because the mean of its divisors is an integer number (2316178800).

Almost surely, 2101053266216 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 101053266216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148235443200).

101053266216 is an abundant number, since it is smaller than the sum of its proper divisors (195417620184).

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

101053266216 is a wasteful number, since it uses less digits than its factorization.

101053266216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99159 (or 99155 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 101053266216 in words is "one hundred one billion, fifty-three million, two hundred sixty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 103 118 168 177 206 236 309 354 412 413 472 618 708 721 824 826 1236 1239 1416 1442 1652 2163 2472 2478 2884 3304 4326 4956 5768 6077 8652 9912 12154 17304 18231 24308 36462 42539 48616 72924 85078 98981 127617 145848 170156 197962 255234 296943 340312 395924 510468 593886 692867 791848 1020936 1187772 1385734 2078601 2375544 2771468 4157202 5542936 5839879 8314404 10195043 11679758 16628808 17519637 20390086 23359516 30585129 35039274 40780172 40879153 46719032 61170258 70078548 71365301 81560344 81758306 122340516 122637459 140157096 142730602 163516612 214095903 244681032 245274918 285461204 327033224 428191806 490549836 570922408 601507537 856383612 981099672 1203015074 1712767224 1804522611 2406030148 3609045222 4210552759 4812060296 7218090444 8421105518 12631658277 14436180888 16842211036 25263316554 33684422072 50526633108 101053266216