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1140010111220 = 2255310357103841
BaseRepresentation
bin10000100101101101111…
…001011101000011110100
311000222120021011000012212
4100211231321131003310
5122134220042024340
62231414033032552
7145235341030061
oct20455571350364
94028507130185
101140010111220
113aa525a95812
12164b370b5758
138366bc8abb6
143d269147c68
151e9c32d3a65
hex1096de5d0f4

1140010111220 has 48 divisors (see below), whose sum is σ = 2439450448848. Its totient is φ = 447352688640.

The previous prime is 1140010111217. The next prime is 1140010111231. The reversal of 1140010111220 is 221110100411.

It can be written as a sum of positive squares in 8 ways, for example, as 12990072676 + 1127020038544 = 113974^2 + 1061612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1140010111195 and 1140010111204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10926500 + ... + 11030340.

It is an arithmetic number, because the mean of its divisors is an integer number (50821884351).

Almost surely, 21140010111220 is an apocalyptic number.

1140010111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140010111220 is an abundant number, since it is smaller than the sum of its proper divisors (1299440337628).

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

1140010111220 is a wasteful number, since it uses less digits than its factorization.

1140010111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114260 (or 114258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1140010111220 its reverse (221110100411), we get a palindrome (1361120211631).

The spelling of 1140010111220 in words is "one trillion, one hundred forty billion, ten million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 10357 20714 41428 51785 103570 103841 207140 207682 415364 519205 548921 1038410 1097842 2076820 2195684 2744605 5489210 5503573 10978420 11007146 22014292 27517865 55035730 110071460 1075481237 2150962474 4301924948 5377406185 10754812370 21509624740 57000505561 114001011122 228002022244 285002527805 570005055610 1140010111220