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210010002110200 = 23521924097111799
BaseRepresentation
bin101111110000000011000011…
…100100110011011011111000
31000112120202112010121011011201
4233300003003210303123320
5210011300441020011300
62022353132454303544
762143502425343215
oct5760030344633370
91015522463534151
10210010002110200
1160a08818272846
121b679418957bb4
139024b206931b6
1439c07772a4b0c
151942c9715a66a
hexbf00c39336f8

210010002110200 has 144 divisors (see below), whose sum is σ = 516584439270000. Its totient is φ = 79388147658240.

The previous prime is 210010002110177. The next prime is 210010002110201. The reversal of 210010002110200 is 2011200010012.

210010002110200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210010002110201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25973901 + ... + 33085699.

It is an arithmetic number, because the mean of its divisors is an integer number (3587391939375).

Almost surely, 2210010002110200 is an apocalyptic number.

210010002110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210010002110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258292219635000).

210010002110200 is an abundant number, since it is smaller than the sum of its proper divisors (306574437159800).

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

210010002110200 is a wasteful number, since it uses less digits than its factorization.

210010002110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7112262 (or 7112234 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210010002110200 its reverse (2011200010012), we get a palindrome (212021202120212).

The spelling of 210010002110200 in words is "two hundred ten trillion, ten billion, two million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 361 380 409 475 722 760 818 950 1444 1636 1805 1900 2045 2888 3272 3610 3800 4090 7220 7771 8180 9025 10225 14440 15542 16360 18050 20450 31084 36100 38855 40900 62168 72200 77710 81800 147649 155420 194275 295298 310840 388550 590596 738245 777100 1181192 1476490 1554200 2952980 3691225 5905960 7111799 7382450 14223598 14764900 28447196 29529800 35558995 56894392 71117990 135124181 142235980 177794975 270248362 284471960 355589950 540496724 675620905 711179900 1080993448 1351241810 1422359800 2567359439 2702483620 2908725791 3378104525 5134718878 5404967240 5817451582 6756209050 10269437756 11634903164 12836797195 13512418100 14543628955 20538875512 23269806328 25673594390 27024836200 29087257910 51347188780 55265790029 58174515820 64183985975 72718144775 102694377560 110531580058 116349031640 128367971950 145436289550 221063160116 256735943900 276328950145 290872579100 442126320232 513471887800 552657900290 581745158200 1050050010551 1105315800580 1381644750725 2100100021102 2210631601160 2763289501450 4200200042204 5250250052755 5526579002900 8400400084408 10500500105510 11053158005800 21001000211020 26251250263775 42002000422040 52502500527550 105005001055100 210010002110200