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211003102330230 = 235729104273322861
BaseRepresentation
bin101111111110011111111100…
…111101011111110101110110
31000200002200212222212102220110
4233332133330331133311312
5210124033323144031410
62024433253110443450
762305320402052530
oct5776377475376566
91020080788772813
10211003102330230
1161260a05475941
121b7b9994063586
1390976793457a2
143a168671dc850
15195da1cca2720
hexbfe7fcf5fd76

211003102330230 has 128 divisors (see below), whose sum is σ = 598765909294080. Its totient is φ = 46561721955840.

The previous prime is 211003102330213. The next prime is 211003102330297. The reversal of 211003102330230 is 32033201300112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 211003102330197 and 211003102330206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (37) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61839000 + ... + 65161860.

It is an arithmetic number, because the mean of its divisors is an integer number (4677858666360).

Almost surely, 2211003102330230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211003102330230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299382954647040).

211003102330230 is an abundant number, since it is smaller than the sum of its proper divisors (387762806963850).

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

211003102330230 is a wasteful number, since it uses less digits than its factorization.

211003102330230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333334.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 211003102330230 its reverse (32033201300112), we get a palindrome (243036303630342).

The spelling of 211003102330230 in words is "two hundred eleven trillion, three billion, one hundred two million, three hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 10427 20854 31281 52135 62562 72989 104270 145978 156405 218967 302383 312810 364945 437934 604766 729890 907149 1094835 1511915 1814298 2116681 2189670 3023830 3322861 4233362 4535745 6350043 6645722 9071490 9968583 10583405 12700086 16614305 19937166 21166810 23260027 31750215 33228610 46520054 49842915 63500430 69780081 96362969 99685830 116300135 139560162 192725938 232600270 289088907 348900405 481814845 578177814 674540783 697800810 963629690 1349081566 1445444535 2023622349 2890889070 3372703915 4047244698 6745407830 10118111745 20236223490 34647471647 69294943294 103942414941 173237358235 207884829882 242532301529 346474716470 485064603058 519712074705 727596904587 1004776677763 1039424149410 1212661507645 1455193809174 2009553355526 2425323015290 3014330033289 3637984522935 5023883388815 6028660066578 7033436744341 7275969045870 10047766777630 14066873488682 15071650166445 21100310233023 30143300332890 35167183721705 42200620466046 70334367443410 105501551165115 211003102330230