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211210120121 = 7111317471811459
BaseRepresentation
bin1100010010110100011…
…0101010101110111001
3202012011121002210100112
43010231012222232321
511430024242320441
6241010101514105
721154661253650
oct3045506525671
9665147083315
10211210120121
1181634674390
1234b25a12935
1316bbc935250
14a318c4a197
1557626bb4eb
hex312d1aabb9

211210120121 has 128 divisors (see below), whose sum is σ = 308558315520. Its totient is φ = 139072204800.

The previous prime is 211210120103. The next prime is 211210120193. The reversal of 211210120121 is 121021012112.

It is a cyclic number.

It is not a de Polignac number, because 211210120121 - 234 = 194030250937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211210120096 and 211210120105.

It is not an unprimeable number, because it can be changed into a prime (211210120021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144762890 + ... + 144764348.

It is an arithmetic number, because the mean of its divisors is an integer number (2410611840).

Almost surely, 2211210120121 is an apocalyptic number.

It is an amenable number.

211210120121 is a deficient number, since it is larger than the sum of its proper divisors (97348195399).

211210120121 is a wasteful number, since it uses less digits than its factorization.

211210120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211210120121 its reverse (121021012112), we get a palindrome (332231132233).

The spelling of 211210120121 in words is "two hundred eleven billion, two hundred ten million, one hundred twenty thousand, one hundred twenty-one".

Divisors: 1 7 11 13 17 47 77 91 119 143 181 187 221 329 517 611 799 1001 1267 1309 1459 1547 1991 2353 2431 3077 3619 4277 5593 6721 8507 8789 10213 10387 13937 16049 16471 17017 18967 21539 24803 25883 33847 40001 47047 59549 61523 68573 72709 93577 110591 112343 114257 132769 144619 173621 181181 208637 236929 264079 272833 280007 322439 440011 480011 655039 754303 774137 799799 891449 1012333 1165741 1216501 1460459 1590809 1848553 1880047 1909831 2257073 2904869 3080077 3433027 3546829 4489343 5280121 6240143 8160187 8515507 9805939 11135663 12411713 12823151 13160329 15154633 20334083 20680517 24031189 24827803 31425401 37763297 49382773 58361459 68641573 86881991 89762057 106082431 136528843 144763619 161352269 166700963 210999121 264343079 345679411 408530213 641976049 955701901 1129465883 1166906741 1476993847 1774874959 2320990331 2742988573 4493832343 12424124713 16246932317 19200920011 30172874303 211210120121