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211211123401330 = 251317473136496543
BaseRepresentation
bin110000000001100001101011…
…111110111010001001110010
31000200211120211100012202102021
4300001201223332322021302
5210140440340042320310
62025113014532142054
762326333351016503
oct6001415376721162
91020746740182367
10211211123401330
1161331152996518
121b832169a6792a
1390b117b374880
143a2295c6b0baa
1519641454d55da
hexc0186bfba272

211211123401330 has 128 divisors (see below), whose sum is σ = 444146573058048. Its totient is φ = 71607068762112.

The previous prime is 211211123401307. The next prime is 211211123401457. The reversal of 211211123401330 is 33104321112112.

It is a super-2 number, since 2×2112111234013302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211123401295 and 211211123401304.

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, 29263039 + ... + 35759581.

It is an arithmetic number, because the mean of its divisors is an integer number (3469895102016).

Almost surely, 2211211123401330 is an apocalyptic number.

211211123401330 is an abundant number, since it is smaller than the sum of its proper divisors (232935449656718).

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

211211123401330 is a wasteful number, since it uses less digits than its factorization.

211211123401330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496940.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 211211123401330 its reverse (33104321112112), we get a palindrome (244315444513442).

The spelling of 211211123401330 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred twenty-three million, four hundred one thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 47 65 85 94 130 170 221 235 313 442 470 611 626 799 1105 1222 1565 1598 2210 3055 3130 3995 4069 5321 6110 7990 8138 10387 10642 14711 20345 20774 26605 29422 40690 51935 53210 69173 73555 103870 138346 147110 191243 250087 345865 382486 500174 691730 956215 1250435 1912430 2500870 3251131 6496543 6502262 12993086 16255655 32482715 32511310 64965430 84455059 110441231 168910118 220882462 305337521 422275295 552206155 610675042 844550590 1104412310 1435736003 1526687605 2033417959 2871472006 3053375210 3969387773 4066835918 5190737857 7178680015 7938775546 10167089795 10381475714 14357360030 19846938865 20334179590 25953689285 26434433467 34568105303 39693877730 51907378570 52868866934 67479592141 69136210606 95570644073 132172167335 134959184282 172840526515 191141288146 264344334670 337397960705 345681053030 449385368939 477853220365 674795921410 898770737878 955706440730 1242418372949 1624700949241 2246926844695 2484836745898 3249401898482 4493853689390 6212091864745 8123504746205 12424183729490 16247009492410 21121112340133 42242224680266 105605561700665 211211123401330