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211210134345 = 3257295786909
BaseRepresentation
bin1100010010110100011…
…0101110001101001001
3202012011121010111212100
43010231012232031021
511430024243244340
6241010102104013
721154661343300
oct3045506561511
9665147114770
10211210134345
1181634684041
1234b25a1b009
1316bbc93b872
14a318c51437
1557626c0830
hex312d1ae349

211210134345 has 36 divisors (see below), whose sum is σ = 425868601860. Its totient is φ = 96553203264.

The previous prime is 211210134301. The next prime is 211210134403. The reversal of 211210134345 is 543431012112.

211210134345 is a `hidden beast` number, since 2 + 1 + 1 + 210 + 13 + 434 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32260829769 + 178949304576 = 179613^2 + 423024^2 .

It is not a de Polignac number, because 211210134345 - 217 = 211210003273 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47891250 + ... + 47895659.

It is an arithmetic number, because the mean of its divisors is an integer number (11829683385).

Almost surely, 2211210134345 is an apocalyptic number.

It is an amenable number.

211210134345 is an abundant number, since it is smaller than the sum of its proper divisors (214658467515).

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

211210134345 is a wasteful number, since it uses less digits than its factorization.

211210134345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95786934 (or 95786924 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 211210134345 its reverse (543431012112), we get a palindrome (754641146457).

The spelling of 211210134345 in words is "two hundred eleven billion, two hundred ten million, one hundred thirty-four thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 95786909 287360727 478934545 670508363 862082181 1436803635 2011525089 3352541815 4310410905 4693558541 6034575267 10057625445 14080675623 23467792705 30172876335 42242026869 70403378115 211210134345