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1132440114102 = 231171251962807
BaseRepresentation
bin10000011110101010101…
…100001101001110110110
311000021000200212022101020
4100132222230031032312
5122023214132122402
62224122533442010
7144546631101453
oct20365254151666
94007020768336
101132440114102
113a72a0a15950
12163583aa0306
1382a3386276b
143cb4ba1482a
151e6cd9268bc
hex107aab0d3b6

1132440114102 has 64 divisors (see below), whose sum is σ = 2515563122688. Its totient is φ = 336982100000.

The previous prime is 1132440114041. The next prime is 1132440114107. The reversal of 1132440114102 is 2014110442311.

It is a happy number.

It is a super-2 number, since 2×11324401141022 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132440114107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694783 + ... + 1657589.

It is an arithmetic number, because the mean of its divisors is an integer number (39305673792).

Almost surely, 21132440114102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132440114102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257781561344).

1132440114102 is an abundant number, since it is smaller than the sum of its proper divisors (1383123008586).

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

1132440114102 is a wasteful number, since it uses less digits than its factorization.

1132440114102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963145.

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

Adding to 1132440114102 its reverse (2014110442311), we get a palindrome (3146550556413).

The spelling of 1132440114102 in words is "one trillion, one hundred thirty-two billion, four hundred forty million, one hundred fourteen thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 251 426 502 753 781 1506 1562 2343 2761 4686 5522 8283 16566 17821 35642 53463 106926 196031 392062 588093 962807 1176186 1925614 2888421 5776842 10590877 21181754 31772631 63545262 68359297 136718594 205077891 241664557 410155782 483329114 724993671 751952267 1449987342 1503904534 2255856801 2658310127 4511713602 5316620254 7974930381 15949860762 17158183547 34316367094 51474550641 102949101282 188740019017 377480038034 566220057051 1132440114102