Search a number
-
+
3113322102 = 2331119311887
BaseRepresentation
bin1011100110010001…
…1000011001110110
322000222021011001000
42321210120121312
522334002301402
61232533144130
7140102541552
oct27144303166
98028234030
103113322102
111358430a80
1272a78b046
133a8010a37
142176a4862
151334cac1c
hexb9918676

3113322102 has 128 divisors (see below), whose sum is σ = 7979212800. Its totient is φ = 889898400.

The previous prime is 3113322101. The next prime is 3113322127. The reversal of 3113322102 is 2012233113.

3113322102 is a `hidden beast` number, since 311 + 332 + 21 + 0 + 2 = 666.

3113322102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113322101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3509503 + ... + 3510389.

It is an arithmetic number, because the mean of its divisors is an integer number (62337600).

Almost surely, 23113322102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113322102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989606400).

3113322102 is an abundant number, since it is smaller than the sum of its proper divisors (4865890698).

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

3113322102 is a wasteful number, since it uses less digits than its factorization.

3113322102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3113322102 is about 55797.1513789011. The cubic root of 3113322102 is about 1460.1854555809.

Adding to 3113322102 its reverse (2012233113), we get a palindrome (5125555215).

It can be divided in two parts, 31133 and 22102, that added together give a palindrome (53235).

The spelling of 3113322102 in words is "three billion, one hundred thirteen million, three hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 311 342 418 513 594 622 627 887 933 1026 1254 1774 1866 1881 2661 2799 3421 3762 5322 5598 5643 5909 6842 7983 8397 9757 10263 11286 11818 15966 16794 16853 17727 19514 20526 23949 29271 30789 33706 35454 47898 50559 53181 58542 61578 64999 87813 92367 101118 106362 129998 151677 159543 175626 184734 185383 194997 263439 275857 303354 319086 370766 389994 455031 526878 551714 556149 584991 827571 910062 1112298 1169982 1655142 1668447 1754973 2482713 3034427 3336894 3509946 4965426 5005341 5241283 6068854 7448139 9103281 10010682 10482566 14896278 15723849 18206562 27309843 31447698 47171547 54619686 57654113 81929529 94343094 115308226 141514641 163859058 172962339 283029282 345924678 518887017 1037774034 1556661051 3113322102