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120011106 = 231929311171
BaseRepresentation
bin1110010011100…
…11100101100010
322100211012021210
413021303211202
5221210323411
615524130550
72655035415
oct711634542
9270735253
10120011106
116181a136
1234236a56
131bb2bcb7
1411d1db7c
15a808ca6
hex7273962

120011106 has 64 divisors (see below), whose sum is σ = 270028800. Its totient is φ = 35380800.

The previous prime is 120011057. The next prime is 120011119. The reversal of 120011106 is 601110021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120011091 and 120011100.

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, 101901 + ... + 103071.

It is an arithmetic number, because the mean of its divisors is an integer number (4219200).

Almost surely, 2120011106 is an apocalyptic number.

120011106 is an abundant number, since it is smaller than the sum of its proper divisors (150017694).

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

120011106 is a wasteful number, since it uses less digits than its factorization.

120011106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 120011106 is about 10954.9580556020. The cubic root of 120011106 is about 493.2576309252.

Adding to 120011106 its reverse (601110021), we get a palindrome (721121127).

The spelling of 120011106 in words is "one hundred twenty million, eleven thousand, one hundred six".

Divisors: 1 2 3 6 19 29 31 38 57 58 62 87 93 114 174 186 551 589 899 1102 1171 1178 1653 1767 1798 2342 2697 3306 3513 3534 5394 7026 17081 22249 33959 34162 36301 44498 51243 66747 67918 72602 101877 102486 108903 133494 203754 217806 645221 689719 1052729 1290442 1379438 1935663 2069157 2105458 3158187 3871326 4138314 6316374 20001851 40003702 60005553 120011106