Search a number
-
+
112231312011 = 327213173731123
BaseRepresentation
bin110100010000110000…
…0011110101010001011
3101201200121000101000200
41220201200132222023
53314322203441021
6123320334303243
711052124261200
oct1504140365213
9351617011020
10112231312011
1143662716925
1219902057b23
13a777872780
145609691ca7
152dbce4c126
hex1a2181ea8b

112231312011 has 144 divisors (see below), whose sum is σ = 220850177184. Its totient is φ = 54209046528.

The previous prime is 112231312007. The next prime is 112231312019. The reversal of 112231312011 is 110213132211.

112231312011 is a `hidden beast` number, since 112 + 231 + 312 + 0 + 11 = 666.

It is not a de Polignac number, because 112231312011 - 22 = 112231312007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112231312019) 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, 3590496 + ... + 3621618.

It is an arithmetic number, because the mean of its divisors is an integer number (1533681786).

Almost surely, 2112231312011 is an apocalyptic number.

112231312011 is a deficient number, since it is larger than the sum of its proper divisors (108618865173).

112231312011 is a wasteful number, since it uses less digits than its factorization.

112231312011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31210 (or 31200 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112231312011 its reverse (110213132211), we get a palindrome (222444444222).

The spelling of 112231312011 in words is "one hundred twelve billion, two hundred thirty-one million, three hundred twelve thousand, eleven".

Divisors: 1 3 7 9 13 17 21 37 39 49 51 63 91 111 117 119 147 153 221 259 273 333 357 441 481 629 637 663 777 819 833 1071 1443 1547 1813 1887 1911 1989 2331 2499 3367 4329 4403 4641 5439 5661 5733 7497 8177 10101 10829 13209 13923 16317 23569 24531 30303 30821 31123 32487 39627 57239 70707 73593 92463 93369 97461 171717 212121 217861 277389 280107 400673 404599 515151 529091 653583 1151551 1202019 1213797 1525027 1587273 1960749 2832193 3454653 3606057 3641391 3703637 4575081 4761819 6878183 8060857 8496579 10363959 11110911 13725243 14970163 19576367 19825351 20634549 24182571 25489737 25925459 33332733 44910489 48147281 56425999 58729101 59476053 61903647 72547713 77776377 104791141 134731467 137034569 144441843 169277997 176187303 178428159 233329131 254492771 314373423 337030967 411103707 433325529 507833991 733537987 763478313 943120269 959241983 1011092901 1233311121 1781449397 2200613961 2290434939 2877725949 3033278703 5344348191 6601841883 8633177847 12470145779 16033044573 37410437337 112231312011