Search a number
-
+
1114122232140 = 2235113787208799
BaseRepresentation
bin10000001101100110110…
…111000010000101001100
310221111202002112111021120
4100031212313002011030
5121223210242412030
62211453134000540
7143330662502001
oct20154667020514
93844662474246
101114122232140
1139a550a56025
1215bb11346150
13810a4813058
143bcd0cbb8a8
151deaa6cb010
hex10366dc214c

1114122232140 has 96 divisors (see below), whose sum is σ = 3151162828800. Its totient is φ = 294094488576.

The previous prime is 1114122232061. The next prime is 1114122232151. The reversal of 1114122232140 is 412322214111.

It is a self number, because there is not a number n which added to its sum of digits gives 1114122232140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5231461 + ... + 5440259.

It is an arithmetic number, because the mean of its divisors is an integer number (32824612800).

Almost surely, 21114122232140 is an apocalyptic number.

1114122232140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114122232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575581414400).

1114122232140 is an abundant number, since it is smaller than the sum of its proper divisors (2037040596660).

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

1114122232140 is a wasteful number, since it uses less digits than its factorization.

1114122232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209711 (or 209709 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1114122232140 its reverse (412322214111), we get a palindrome (1526444446251).

The spelling of 1114122232140 in words is "one trillion, one hundred fourteen billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 787 1130 1356 1574 1695 2260 2361 3148 3390 3935 4722 6780 7870 9444 11805 15740 23610 47220 88931 177862 208799 266793 355724 417598 444655 533586 626397 835196 889310 1043995 1067172 1252794 1333965 1778620 2087990 2505588 2667930 3131985 4175980 5335860 6263970 12527940 23594287 47188574 70782861 94377148 117971435 141565722 164324813 235942870 283131444 328649626 353914305 471885740 492974439 657299252 707828610 821624065 985948878 1415657220 1643248130 1971897756 2464872195 3286496260 4929744390 9859488780 18568703869 37137407738 55706111607 74274815476 92843519345 111412223214 185687038690 222824446428 278530558035 371374077380 557061116070 1114122232140