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211201110096 = 24332143136889
BaseRepresentation
bin1100010010110010010…
…0010011000001010000
3202012010222011000220220
43010230210103001100
511430014441010341
6241005140433040
721154521546444
oct3045444230120
9665128130826
10211201110096
118162a57aa89
1234b229a8780
1316bbaacc182
14a317982824
1557619dba66
hex312c913050

211201110096 has 40 divisors (see below), whose sum is σ = 545623827840. Its totient is φ = 70397665536.

The previous prime is 211201110079. The next prime is 211201110137. The reversal of 211201110096 is 690011102112.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1474420 + ... + 1611308.

It is an arithmetic number, because the mean of its divisors is an integer number (13640595696).

Almost surely, 2211201110096 is an apocalyptic number.

It is an amenable number.

211201110096 is an abundant number, since it is smaller than the sum of its proper divisors (334422717744).

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

211201110096 is a wasteful number, since it uses less digits than its factorization.

211201110096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169043 (or 169037 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

The spelling of 211201110096 in words is "two hundred eleven billion, two hundred one million, one hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 32143 64286 96429 128572 136889 192858 257144 273778 385716 410667 514288 547556 771432 821334 1095112 1542864 1642668 2190224 3285336 6570672 4400023127 8800046254 13200069381 17600092508 26400138762 35200185016 52800277524 70400370032 105600555048 211201110096