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211142141331004 = 221323523337553063
BaseRepresentation
bin110000000000100001011100…
…010101001100011000111100
31000200120222202212021111112201
4300000201130111030120330
5210133323101140043004
62025021205523041244
762321342044055032
oct6000413425143074
91020528685244481
10211142141331004
1161304974354044
121b820917b10224
1390a7806aa4390
143a1d496d52552
1519624594486a4
hexc0085c54c63c

211142141331004 has 48 divisors (see below), whose sum is σ = 416016598620672. Its totient is φ = 93035024736192.

The previous prime is 211142141330987. The next prime is 211142141331053. The reversal of 211142141331004 is 400133141241112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168151024 + ... + 169402039.

It is an arithmetic number, because the mean of its divisors is an integer number (8667012471264).

Almost surely, 2211142141331004 is an apocalyptic number.

It is an amenable number.

211142141331004 is a deficient number, since it is larger than the sum of its proper divisors (204874457289668).

211142141331004 is a wasteful number, since it uses less digits than its factorization.

211142141331004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337553626 (or 337553624 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 211142141331004 its reverse (400133141241112), we get a palindrome (611275282572116).

The spelling of 211142141331004 in words is "two hundred eleven trillion, one hundred forty-two billion, one hundred forty-one million, three hundred thirty-one thousand, four".

Divisors: 1 2 4 13 23 26 46 52 92 299 523 598 1046 1196 2092 6799 12029 13598 24058 27196 48116 156377 312754 625508 337553063 675106126 1350212252 4388189819 7763720449 8776379638 15527440898 17552759276 31054881796 100928365837 176540251949 201856731674 353080503898 403713463348 706161007796 2295023275337 4060425794827 4590046550674 8120851589654 9180093101348 16241703179308 52785535332751 105571070665502 211142141331004