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211131120408 = 233131943828277
BaseRepresentation
bin1100010010100001100…
…1010011101100011000
3202011222002110012010020
43010220121103230120
511424344031323113
6240554200350440
721153011625045
oct3045031235430
9664862405106
10211131120408
11815a401676a
1234b03475420
1316ba9465260
14a30c5641cc
15575a7b4023
hex3128653b18

211131120408 has 128 divisors (see below), whose sum is σ = 612263097600. Its totient is φ = 60112958976.

The previous prime is 211131120383. The next prime is 211131120439. The reversal of 211131120408 is 804021131112.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159235 + ... + 669042.

It is an arithmetic number, because the mean of its divisors is an integer number (4783305450).

Almost surely, 2211131120408 is an apocalyptic number.

It is an amenable number.

211131120408 is an abundant number, since it is smaller than the sum of its proper divisors (401131977192).

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

211131120408 is a wasteful number, since it uses less digits than its factorization.

211131120408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828361 (or 828357 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 211131120408 in words is "two hundred eleven billion, one hundred thirty-one million, one hundred twenty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 43 52 57 76 78 86 104 114 129 152 156 172 228 247 258 312 344 456 494 516 559 741 817 988 1032 1118 1482 1634 1677 1976 2236 2451 2964 3268 3354 4472 4902 5928 6536 6708 9804 10621 13416 19608 21242 31863 42484 63726 84968 127452 254904 828277 1656554 2484831 3313108 4969662 6626216 9939324 10767601 15737263 19878648 21535202 31474526 32302803 35615911 43070404 47211789 62949052 64605606 71231822 86140808 94423578 106847733 125898104 129211212 142463644 188847156 204584419 213695466 258422424 284927288 377694312 409168838 427390932 463006843 613753257 676702309 818337676 854781864 926013686 1227506514 1353404618 1389020529 1636675352 1852027372 2030106927 2455013028 2706809236 2778041058 3704054744 4060213854 4910026056 5413618472 5556082116 8120427708 8797130017 11112164232 16240855416 17594260034 26391390051 35188520068 52782780102 70377040136 105565560204 211131120408