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211202112121 = 711213232101359
BaseRepresentation
bin1100010010110010100…
…0000111101001111001
3202012011001000221102221
43010230220013221321
511430020220041441
6241005214124041
721154533222010
oct3045450075171
9665131027387
10211202112121
11816300a4900
1234b231b0621
1316bbb0902a0
14a317b63a77
155761b388d1
hex312ca07a79

211202112121 has 144 divisors (see below), whose sum is σ = 302480559360. Its totient is φ = 143469216000.

The previous prime is 211202112113. The next prime is 211202112133. The reversal of 211202112121 is 121211202112.

It is not a de Polignac number, because 211202112121 - 23 = 211202112113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211202112095 and 211202112104.

It is not an unprimeable number, because it can be changed into a prime (211202112181) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 588306540 + ... + 588306898.

It is an arithmetic number, because the mean of its divisors is an integer number (2100559440).

Almost surely, 2211202112121 is an apocalyptic number.

It is an amenable number.

211202112121 is a deficient number, since it is larger than the sum of its proper divisors (91278447239).

211202112121 is a wasteful number, since it uses less digits than its factorization.

211202112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211202112121 its reverse (121211202112), we get a palindrome (332413314233).

It can be divided in two parts, 211202112 and 121, that multiplied together give a palindrome (25555455552).

The spelling of 211202112121 in words is "two hundred eleven billion, two hundred two million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 7 11 13 23 77 91 101 121 143 161 253 299 359 529 707 847 1001 1111 1313 1573 1771 2093 2323 2513 2783 3289 3703 3949 4667 5819 6877 7777 8257 9191 11011 12221 14443 16261 19481 23023 25553 27643 30199 32669 36179 36259 40733 43439 48139 51337 53429 57799 64009 75647 85547 90827 101101 107341 158873 178871 189911 211393 253253 253813 281083 304073 332189 359359 374003 398849 448063 471367 529529 564707 587719 635789 694577 751387 832117 833957 999097 1112111 1180751 1329377 1967581 2089021 2325323 2468843 2791943 3299569 3654079 3952949 4114033 4387339 4862039 5185037 5824819 5837699 6464909 6993679 7640347 8265257 9173527 10841441 12988261 14623147 17281901 19181011 22979231 25578553 27157273 30711373 36295259 45254363 53482429 57035407 64214689 75890087 84043817 90917827 100908797 119255851 134267077 160854617 190100911 210991121 249353143 298730003 399247849 588306719 706361579 834790957 1311814361 1476937847 1745472001 2091110021 2320902331 2742884573 9182700527 16246316317 19200192011 30171730303 211202112121