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211011003222320 = 24575314947715001
BaseRepresentation
bin101111111110100111010011…
…111001000000100100110000
31000200010110021121210100022102
4233332213103321000210300
5210124201013311103240
62024441041110155532
762306020240404410
oct5776472371004460
91020113247710272
10211011003222320
116126429a301024
121b7bb41a052ba8
139098338198172
143a16db6668640
15195dd31722815
hexbfe9d3e40930

211011003222320 has 160 divisors (see below), whose sum is σ = 575099376105600. Its totient is φ = 70505210880000.

The previous prime is 211011003222307. The next prime is 211011003222343. The reversal of 211011003222320 is 23222300110112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211011003222292 and 211011003222301.

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, 19435181 + ... + 28279820.

It is an arithmetic number, because the mean of its divisors is an integer number (3594371100660).

Almost surely, 2211011003222320 is an apocalyptic number.

211011003222320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011003222320 is an abundant number, since it is smaller than the sum of its proper divisors (364088372883280).

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

211011003222320 is a wasteful number, since it uses less digits than its factorization.

211011003222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47715223 (or 47715217 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211011003222320 its reverse (23222300110112), we get a palindrome (234233303332432).

The spelling of 211011003222320 in words is "two hundred eleven trillion, eleven billion, three million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 149 212 265 280 298 371 424 530 560 596 742 745 848 1043 1060 1192 1484 1490 1855 2086 2120 2384 2968 2980 3710 4172 4240 5215 5936 5960 7420 7897 8344 10430 11920 14840 15794 16688 20860 29680 31588 39485 41720 55279 63176 78970 83440 110558 126352 157940 221116 276395 315880 442232 552790 631760 884464 1105580 2211160 4422320 47715001 95430002 190860004 238575005 334005007 381720008 477150010 668010014 763440016 954300020 1336020028 1670025035 1908600040 2528895053 2672040056 3340050070 3817200080 5057790106 5344080112 6680100140 7109535149 10115580212 12644475265 13360200280 14219070298 17702265371 20231160424 25288950530 26720400560 28438140596 35404530742 35547675745 40462320848 49766746043 50577901060 56876281192 70809061484 71095351490 88511326855 99533492086 101155802120 113752562384 141618122968 142190702980 177022653710 199066984172 202311604240 248833730215 283236245936 284381405960 354045307420 376805362897 398133968344 497667460430 568762811920 708090614840 753610725794 796267936688 995334920860 1416181229680 1507221451588 1884026814485 1990669841720 2637637540279 3014442903176 3768053628970 3981339683440 5275275080558 6028885806352 7536107257940 10550550161116 13188187701395 15072214515880 21101100322232 26376375402790 30144429031760 42202200644464 52752750805580 105505501611160 211011003222320