Search a number
-
+
20104053102 = 23272193138699
BaseRepresentation
bin10010101110010010…
…111000000101101110
31220220002022201021100
4102232102320011232
5312133114144402
613122523343530
71311124426500
oct225622700556
956802281240
1020104053102
118587239721
123a90981ba6
131b8510a213
14d8a04dd70
157c9e7171c
hex4ae4b816e

20104053102 has 144 divisors (see below), whose sum is σ = 55059264000. Its totient is φ = 5266023840.

The previous prime is 20104053097. The next prime is 20104053139. The reversal of 20104053102 is 20135040102.

It is a super-2 number, since 2×201040531022 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 500149 + ... + 538847.

It is an arithmetic number, because the mean of its divisors is an integer number (382356000).

Almost surely, 220104053102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20104053102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27529632000).

20104053102 is an abundant number, since it is smaller than the sum of its proper divisors (34955210898).

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

20104053102 is a wasteful number, since it uses less digits than its factorization.

20104053102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38771 (or 38761 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 20104053102 its reverse (20135040102), we get a palindrome (40239093204).

The spelling of 20104053102 in words is "twenty billion, one hundred four million, fifty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 31 38 42 49 57 62 63 93 98 114 126 133 147 171 186 217 266 279 294 342 399 434 441 558 589 651 798 882 931 1178 1197 1302 1519 1767 1862 1953 2394 2793 3038 3534 3906 4123 4557 5301 5586 8246 8379 9114 10602 12369 13671 16758 24738 27342 28861 37107 38699 57722 74214 77398 86583 116097 173166 232194 259749 270893 348291 519498 541786 696582 735281 812679 1199669 1470562 1625358 1896251 2205843 2399338 2438037 3599007 3792502 4411686 4876074 5146967 5688753 6617529 7198014 8397683 10293934 10797021 11377506 13235058 15440901 16795366 17066259 21594042 22793711 25193049 30881802 34132518 36028769 45587422 46322703 50386098 58783781 68381133 72057538 75579147 92645406 108086307 117567562 136762266 151158294 159555977 176351343 205143399 216172614 319111954 324258921 352702686 410286798 478667931 529054029 648517842 957335862 1058108058 1116891839 1436003793 2233783678 2872007586 3350675517 6701351034 10052026551 20104053102