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211304014100 = 225219373005747
BaseRepresentation
bin1100010011001010110…
…0110110000100010100
3202012102010210002200022
43010302230312010110
511430222311422400
6241023254204312
721160211325224
oct3046254660424
9665363702608
10211304014100
1181682675313
1234b51353698
1316c0621b70a
14a3274cc084
15576aa66b85
hex3132b36114

211304014100 has 72 divisors (see below), whose sum is σ = 495707960160. Its totient is φ = 77908936320.

The previous prime is 211304014099. The next prime is 211304014153. The reversal of 211304014100 is 1410403112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432574 + ... + 1573173.

It is an arithmetic number, because the mean of its divisors is an integer number (6884832780).

Almost surely, 2211304014100 is an apocalyptic number.

211304014100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211304014100 is an abundant number, since it is smaller than the sum of its proper divisors (284403946060).

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

211304014100 is a wasteful number, since it uses less digits than its factorization.

211304014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005817 (or 3005810 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 211304014100 its reverse (1410403112), we get a palindrome (212714417212).

The spelling of 211304014100 in words is "two hundred eleven billion, three hundred four million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 37 38 50 74 76 95 100 148 185 190 370 380 475 703 740 925 950 1406 1850 1900 2812 3515 3700 7030 14060 17575 35150 70300 3005747 6011494 12022988 15028735 30057470 57109193 60114940 75143675 111212639 114218386 150287350 222425278 228436772 285545965 300574700 444850556 556063195 571091930 1112126390 1142183860 1427729825 2113040141 2224252780 2780315975 2855459650 4226080282 5560631950 5710919300 8452160564 10565200705 11121263900 21130401410 42260802820 52826003525 105652007050 211304014100