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211214143120122 = 23347358392322071
BaseRepresentation
bin110000000001100100011111…
…111110001110001011111010
31000200211212121210100100212000
4300001210133332032023322
5210141013031114320442
62025114234323201430
762326501236140412
oct6001443776161372
91020755553310760
10211214143120122
11613324624a498a
121b832871216276
1390b153cb7151c
143a22b6776b642
151964270671d4c
hexc0191ff8e2fa

211214143120122 has 64 divisors (see below), whose sum is σ = 479364828364800. Its totient is φ = 68904789378480.

The previous prime is 211214143120087. The next prime is 211214143120133. The reversal of 211214143120122 is 221021341412112.

211214143120122 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 1 + 4 + 1 + 431 + 201 + 22 = 666.

It is a super-2 number, since 2×2112141431201222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 89798347 + ... + 92120417.

It is an arithmetic number, because the mean of its divisors is an integer number (7490075443200).

Almost surely, 2211214143120122 is an apocalyptic number.

211214143120122 is an abundant number, since it is smaller than the sum of its proper divisors (268150685244678).

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

211214143120122 is a wasteful number, since it uses less digits than its factorization.

211214143120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357968 (or 2357962 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 211214143120122 its reverse (221021341412112), we get a palindrome (432235484532234).

The spelling of 211214143120122 in words is "two hundred eleven trillion, two hundred fourteen billion, one hundred forty-three million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 2538 35839 71678 107517 215034 322551 645102 967653 1684433 1935306 2322071 3368866 4644142 5053299 6966213 10106598 13932426 15159897 20898639 30319794 41797278 45479691 62695917 90959382 109137337 125391834 218274674 327412011 654824022 982236033 1964472066 2946708099 5893416198 83220702569 166441405138 249662107707 499324215414 748986323121 1497972646242 2246958969363 3911373020743 4493917938726 7822746041486 11734119062229 23468238124458 35202357186687 70404714373374 105607071560061 211214143120122