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211242323400 = 23352431816869
BaseRepresentation
bin1100010010111100000…
…1100000110111001000
3202012020211200212221120
43010233001200313020
511430111013322100
6241013212035240
721155532060033
oct3045701406710
9665224625846
10211242323400
118165086a169
1234b34762b20
1316bc64cc044
14a31d23001a
15576542d0a0
hex312f060dc8

211242323400 has 96 divisors (see below), whose sum is σ = 656371382400. Its totient is φ = 56200518400.

The previous prime is 211242323381. The next prime is 211242323401. The reversal of 211242323400 is 4323242112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (211242323401) 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, 149835 + ... + 667034.

It is an arithmetic number, because the mean of its divisors is an integer number (6837201900).

Almost surely, 2211242323400 is an apocalyptic number.

211242323400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211242323400 is an abundant number, since it is smaller than the sum of its proper divisors (445129059000).

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

211242323400 is a wasteful number, since it uses less digits than its factorization.

211242323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817319 (or 817310 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 211242323400 its reverse (4323242112), we get a palindrome (215565565512).

The spelling of 211242323400 in words is "two hundred eleven billion, two hundred forty-two million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 431 600 862 1293 1724 2155 2586 3448 4310 5172 6465 8620 10344 10775 12930 17240 21550 25860 32325 43100 51720 64650 86200 129300 258600 816869 1633738 2450607 3267476 4084345 4901214 6534952 8168690 9802428 12253035 16337380 19604856 20421725 24506070 32674760 40843450 49012140 61265175 81686900 98024280 122530350 163373800 245060700 352070539 490121400 704141078 1056211617 1408282156 1760352695 2112423234 2816564312 3520705390 4224846468 5281058085 7041410780 8449692936 8801763475 10562116170 14082821560 17603526950 21124232340 26405290425 35207053900 42248464680 52810580850 70414107800 105621161700 211242323400