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211013212030032 = 24329293907570421
BaseRepresentation
bin101111111110101001010111…
…100010111100010001010000
31000200010122222120001101212110
4233332221113202330101100
5210124220024234430112
62024442044212425320
762306126051066136
oct5776512742742120
91020118876041773
10211013212030032
11612652230a6a45
121b7bb935918240
1390985ca991789
143a17145b59756
15195de105ce13c
hexbfea578bc450

211013212030032 has 160 divisors (see below), whose sum is σ = 566464092727680. Its totient is φ = 67605776824320.

The previous prime is 211013212030031. The next prime is 211013212030037. The reversal of 211013212030032 is 230030212310112.

It is a junction number, because it is equal to n+sod(n) for n = 211013212029990 and 211013212030008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211013212030031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369640182 + ... + 370210602.

It is an arithmetic number, because the mean of its divisors is an integer number (3540400579548).

Almost surely, 2211013212030032 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 211013212030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283232046363840).

211013212030032 is an abundant number, since it is smaller than the sum of its proper divisors (355450880697648).

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

211013212030032 is a wasteful number, since it uses less digits than its factorization.

211013212030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571661 (or 571655 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211013212030032 its reverse (230030212310112), we get a palindrome (441043424340144).

The spelling of 211013212030032 in words is "two hundred eleven trillion, thirteen billion, two hundred twelve million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 293 348 464 586 696 879 907 1172 1392 1758 1814 2344 2721 3516 3628 4688 5442 7032 7256 8497 10884 14064 14512 16994 21768 25491 26303 33988 43536 50982 52606 67976 78909 101964 105212 135952 157818 203928 210424 265751 315636 407856 420848 531502 570421 631272 797253 1063004 1140842 1262544 1594506 1711263 2126008 2281684 3189012 3422526 4252016 4563368 6378024 6845052 7706779 9126736 12756048 13690104 15413558 16542209 23120337 27380208 30827116 33084418 46240674 49626627 61654232 66168836 92481348 99253254 123308464 132337672 167133353 184962696 198506508 264675344 334266706 369925392 397013016 501400059 517371847 668533412 794026032 1002800118 1034743694 1337066824 1552115541 2005600236 2069487388 2674133648 3104231082 4011200472 4138974776 4846867237 6208462164 8022400944 8277949552 9693734474 12416924328 14540601711 15003783563 19387468948 24833848656 29081203422 30007567126 38774937896 45011350689 58162406844 60015134252 77549875792 90022701378 116324813688 120030268504 151589951171 180045402756 232649627376 240060537008 303179902342 360090805512 454769853513 606359804684 720181611024 909539707026 1212719609368 1819079414052 2425439218736 3638158828104 4396108583959 7276317656208 8792217167918 13188325751877 17584434335836 26376651503754 35168868671672 52753303007508 70337737343344 105506606015016 211013212030032