Search a number
-
+
11331123310122 = 2371133772778163
BaseRepresentation
bin1010010011100011101110…
…0101000110111000101010
31111010020121110120200020020
42210320323211012320222
52441122120031410442
640033240213141310
72246434540654320
oct244707345067052
944106543520206
1011331123310122
113679558785810
12133006a32a836
1364269c26a6a5
142b2601dabd10
15149b363ce9ec
hexa4e3b946e2a

11331123310122 has 64 divisors (see below), whose sum is σ = 28338070385664. Its totient is φ = 2934415491840.

The previous prime is 11331123310079. The next prime is 11331123310163. The reversal of 11331123310122 is 22101332113311.

11331123310122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11331123310092 and 11331123310101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36233388 + ... + 36544775.

It is an arithmetic number, because the mean of its divisors is an integer number (442782349776).

Almost surely, 211331123310122 is an apocalyptic number.

11331123310122 is an abundant number, since it is smaller than the sum of its proper divisors (17006947075542).

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

11331123310122 is a wasteful number, since it uses less digits than its factorization.

11331123310122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72778523.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 11331123310122 its reverse (22101332113311), we get a palindrome (33432455423433).

The spelling of 11331123310122 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-three million, three hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 337 462 674 1011 2022 2359 3707 4718 7077 7414 11121 14154 22242 25949 51898 77847 155694 72778163 145556326 218334489 436668978 509447141 800559793 1018894282 1528341423 1601119586 2401679379 3056682846 4803358758 5603918551 11207837102 16811755653 24526240931 33623511306 49052481862 73578722793 147157445586 171683686517 269788650241 343367373034 515051059551 539577300482 809365950723 1030102119102 1618731901446 1888520551687 3777041103374 5665561655061 11331123310122