Search a number
-
+
1111120012112 = 241123569482401
BaseRepresentation
bin10000001010110011111…
…010011110001101010000
310221012222212022220122012
4100022303322132031100
5121201033210341422
62210235210002052
7143163406161635
oct20126372361520
93835885286565
101111120012112
11399250309750
1215b413a16328
1380a168321b6
143bac829818c
151dd81d494e2
hex102b3e9e350

1111120012112 has 80 divisors (see below), whose sum is σ = 2454924481920. Its totient is φ = 482245632000.

The previous prime is 1111120012007. The next prime is 1111120012127. The reversal of 1111120012112 is 2112100211111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2062112 + ... + 2544512.

It is an arithmetic number, because the mean of its divisors is an integer number (30686556024).

Almost surely, 21111120012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1111120012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227462240960).

1111120012112 is an abundant number, since it is smaller than the sum of its proper divisors (1343804469808).

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

1111120012112 is a wasteful number, since it uses less digits than its factorization.

1111120012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483012 (or 483006 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1111120012112 its reverse (2112100211111), we get a palindrome (3223220223223).

The spelling of 1111120012112 in words is "one trillion, one hundred eleven billion, one hundred twenty million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 569 1012 1138 2024 2276 4048 4552 6259 9104 12518 13087 25036 26174 50072 52348 100144 104696 143957 209392 287914 482401 575828 964802 1151656 1929604 2303312 3859208 5306411 7718416 10612822 11095223 21225644 22190446 42451288 44380892 84902576 88761784 122047453 177523568 244094906 274486169 488189812 548972338 976379624 1097944676 1952759248 2195889352 3019347859 4391778704 6038695718 6313181887 12077391436 12626363774 24154782872 25252727548 48309565744 50505455096 69445000757 101010910192 138890001514 277780003028 555560006056 1111120012112