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211346006135 = 511291289102797
BaseRepresentation
bin1100010011010100110…
…1000010000001110111
3202012112001210111220212
43010311031002001313
511430314034144020
6241031354220035
721161231261045
oct3046515020167
9665461714825
10211346006135
11816a4346580
1234b6342461b
1316c11b31b84
14a32ccdd395
15576e5adcc5
hex3135342077

211346006135 has 32 divisors (see below), whose sum is σ = 286436347200. Its totient is φ = 148289397760.

The previous prime is 211346006107. The next prime is 211346006143. The reversal of 211346006135 is 531600643112.

It is not a de Polignac number, because 211346006135 - 224 = 211329228919 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004557 + ... + 2107353.

It is an arithmetic number, because the mean of its divisors is an integer number (8951135850).

Almost surely, 2211346006135 is an apocalyptic number.

211346006135 is a deficient number, since it is larger than the sum of its proper divisors (75090341065).

211346006135 is a wasteful number, since it uses less digits than its factorization.

211346006135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104131.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 211346006135 its reverse (531600643112), we get a palindrome (742946649247).

The spelling of 211346006135 in words is "two hundred eleven billion, three hundred forty-six million, six thousand, one hundred thirty-five".

Divisors: 1 5 11 29 55 145 319 1289 1595 6445 14179 37381 70895 102797 186905 411191 513985 1130767 2055955 2981113 5653835 14905565 32792243 132505333 163961215 662526665 1457558663 3842654657 7287793315 19213273285 42269201227 211346006135