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122313111111009 = 327213375231102523
BaseRepresentation
bin11011110011111000111101…
…100010100000010101100001
3121001002000112000102100202200
4123303320331202200111201
5112012434222421023014
61112045511215403413
734522554626212200
oct3363707542402541
9531060460370680
10122313111111009
1135a77776587025
1211875125523569
1353330ccbc55a0
14222bdb4071237
15e219a0d90a09
hex6f3e3d8a0561

122313111111009 has 144 divisors (see below), whose sum is σ = 227745172130112. Its totient is φ = 62653026514176.

The previous prime is 122313111111007. The next prime is 122313111111067. The reversal of 122313111111009 is 900111111313221.

122313111111009 is a `hidden beast` number, since 1 + 2 + 231 + 311 + 1 + 1 + 110 + 0 + 9 = 666.

122313111111009 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 122313111111009 - 21 = 122313111111007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122313111111007) 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, 110388022 + ... + 111490544.

It is an arithmetic number, because the mean of its divisors is an integer number (1581563695348).

Almost surely, 2122313111111009 is an apocalyptic number.

It is an amenable number.

122313111111009 is a deficient number, since it is larger than the sum of its proper divisors (105432061019103).

122313111111009 is a wasteful number, since it uses less digits than its factorization.

122313111111009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103116 (or 1103106 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 122313111111009 in words is "one hundred twenty-two trillion, three hundred thirteen billion, one hundred eleven million, one hundred eleven thousand, nine".

Divisors: 1 3 7 9 13 21 37 39 49 63 91 111 117 147 259 273 333 441 481 523 637 777 819 1443 1569 1813 1911 2331 3367 3661 4329 4707 5439 5733 6799 10101 10983 16317 19351 20397 23569 25627 30303 32949 47593 58053 61191 70707 76881 135457 142779 174159 212121 230643 251563 333151 406371 428337 754689 948199 999453 1102523 1219113 1760941 2264067 2844597 2998359 3307569 5282823 7717661 8533791 9922707 12326587 14332799 15848469 23152983 36979761 40793351 42998397 54023627 69458949 100329593 110939283 122380053 128995191 162070881 285553457 300988779 367140159 486212643 530313563 576619529 702307151 856660371 902966337 1590940689 1729858587 1998874199 2106921453 2569981113 3712194941 4036336703 4772822067 5189575761 5996622597 6320764359 7496053877 11136584823 12109010109 17989867791 21334922573 22488161631 25985364587 28254356921 33409754469 36327030327 52472377139 64004767719 67464484893 77956093761 84763070763 149344458011 157417131417 192014303157 233868281283 254289212289 277353993449 367306639973 448033374033 472251394251 832061980347 1045411206077 1101919919919 1344100122099 1941477954143 2496185941041 3136233618231 3305759759757 5824433862429 9408700854693 13590345679001 17473301587287 40771037037003 122313111111009