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211315540234300 = 225223293168149029
BaseRepresentation
bin110000000011000010111011…
…101101100001000000111100
31000201012120100022220110110021
4300003002323231201000330
5210144143211244444200
62025233004035221524
762340021036322165
oct6003027355410074
91021176308813407
10211315540234300
11613714655285a7
121b84a44aa478a4
1390bac7bc5c038
143a27a2618c76c
151966c0738141a
hexc030bbb6103c

211315540234300 has 72 divisors (see below), whose sum is σ = 494991604447200. Its totient is φ = 78063192049920.

The previous prime is 211315540234297. The next prime is 211315540234301. The reversal of 211315540234300 is 3432045513112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211315540234301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1584007815 + ... + 1584141214.

It is an arithmetic number, because the mean of its divisors is an integer number (6874883395100).

Almost surely, 2211315540234300 is an apocalyptic number.

211315540234300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211315540234300 is an abundant number, since it is smaller than the sum of its proper divisors (283676064212900).

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

211315540234300 is a wasteful number, since it uses less digits than its factorization.

211315540234300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168149095 (or 3168149088 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 211315540234300 its reverse (3432045513112), we get a palindrome (214747585747412).

The spelling of 211315540234300 in words is "two hundred eleven trillion, three hundred fifteen billion, five hundred forty million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 145 230 290 460 575 580 667 725 1150 1334 1450 2300 2668 2900 3335 6670 13340 16675 33350 66700 3168149029 6336298058 12672596116 15840745145 31681490290 63362980580 72867427667 79203725725 91876321841 145734855334 158407451450 183752643682 291469710668 316814902900 364337138335 367505287364 459381609205 728674276670 918763218410 1457348553340 1821685691675 1837526436820 2113155402343 2296908046025 3643371383350 4226310804686 4593816092050 7286742766700 8452621609372 9187632184100 10565777011715 21131554023430 42263108046860 52828885058575 105657770117150 211315540234300