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211121020000122 = 232329971384139293
BaseRepresentation
bin110000000000001101110001…
…011001101101011101111010
31000200111222020212202201111120
4300000031301121231131322
5210133001322110000442
62025003354015410110
762316663454523631
oct6000156131553572
91020458225681446
10211121020000122
11612a6a15970591
121b818802523936
1390a581bcba95b
143a1c451b78518
151961b200314ec
hexc0037166d77a

211121020000122 has 128 divisors (see below), whose sum is σ = 460537399042560. Its totient is φ = 64316464988160.

The previous prime is 211121020000069. The next prime is 211121020000139. The reversal of 211121020000122 is 221000020121112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5372973508 + ... + 5373012800.

It is an arithmetic number, because the mean of its divisors is an integer number (3597948430020).

Almost surely, 2211121020000122 is an apocalyptic number.

211121020000122 is an abundant number, since it is smaller than the sum of its proper divisors (249416379042438).

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

211121020000122 is a wasteful number, since it uses less digits than its factorization.

211121020000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53288.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211121020000122 its reverse (221000020121112), we get a palindrome (432121040121234).

The spelling of 211121020000122 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 23 29 46 58 69 87 97 138 174 194 291 582 667 1334 2001 2231 2813 4002 4462 5626 6693 8439 13386 13841 16878 27682 39293 41523 64699 78586 83046 117879 129398 194097 235758 318343 388194 401389 636686 802778 903739 955029 1139497 1204167 1342577 1807478 1910058 2278994 2408334 2685154 2711217 3418491 3811421 4027731 5422434 6836982 7622842 8055462 9231947 11434263 18463894 22868526 26208431 27695841 30879271 38934733 52416862 55391682 61758542 77869466 78625293 87662683 92637813 110531209 116804199 157250586 175325366 185275626 221062418 233608398 262988049 331593627 525976098 543854413 663187254 895498859 1087708826 1631563239 1790997718 2542217807 2686496577 3263126478 5084435614 5372993154 7626653421 12508651499 15253306842 15771777977 25017302998 31543555954 37525954497 47315333931 52753878061 75051908994 94630667862 105507756122 158261634183 316523268366 362750893471 725501786942 1088252680413 1213339195403 1529862463769 2176505360826 2426678390806 3059724927538 3640017586209 4589587391307 7280035172418 9179174782614 35186836666687 70373673333374 105560510000061 211121020000122