Search a number
-
+
212014102300 = 2252711132118023
BaseRepresentation
bin1100010101110100000…
…1100111011100011100
3202021020121221022120021
43011131001213130130
511433201102233200
6241221542001524
721213623064220
oct3053501473434
9667217838507
10212014102300
1181a07485070
123510b1162a4
1316cba380850
14a393930780
1557ad07d41a
hex315d06771c

212014102300 has 144 divisors (see below), whose sum is σ = 617717463552. Its totient is φ = 60999033600.

The previous prime is 212014102253. The next prime is 212014102319. The reversal of 212014102300 is 3201410212.

212014102300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958912 + ... + 1159111.

It is an arithmetic number, because the mean of its divisors is an integer number (4289704608).

Almost surely, 2212014102300 is an apocalyptic number.

212014102300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212014102300 is an abundant number, since it is smaller than the sum of its proper divisors (405703361252).

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

212014102300 is a wasteful number, since it uses less digits than its factorization.

212014102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118068 (or 2118061 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212014102300 its reverse (3201410212), we get a palindrome (215215512512).

The spelling of 212014102300 in words is "two hundred twelve billion, fourteen million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 2118023 4236046 8472092 10590115 14826161 21180230 23298253 27534299 29652322 42360460 46596506 52950575 55068598 59304644 74130805 93193012 105901150 110137196 116491265 137671495 148261610 163087771 192740093 211802300 232982530 275342990 296523220 302877289 326175542 370654025 385480186 465965060 550685980 582456325 605754578 652351084 688357475 741308050 770960372 815438855 963700465 1164912650 1211509156 1376714950 1482616100 1514386445 1630877710 1927400930 2120141023 2329825300 2753429900 3028772890 3261755420 3854801860 4077194275 4240282046 4818502325 6057545780 7571932225 8154388550 8480564092 9637004650 10600705115 15143864450 16308777100 19274009300 21201410230 30287728900 42402820460 53003525575 106007051150 212014102300