Search a number
-
+
20102411430 = 2325171732439
BaseRepresentation
bin10010101110001100…
…100111010010100110
31220212222020022022200
4102232030213102212
5312132204131210
613122424235330
71311104451333
oct225614472246
956788208280
1020102411430
118586318272
123a9030bb46
131b84983c0a
14d89b4398a
157c9c4a0c0
hex4ae3274a6

20102411430 has 144 divisors (see below), whose sum is σ = 55789287840. Its totient is φ = 5004721152.

The previous prime is 20102411423. The next prime is 20102411431. The reversal of 20102411430 is 3411420102.

20102411430 is a `hidden beast` number, since 201 + 0 + 24 + 11 + 430 = 666.

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 (20102411431) by changing a digit.

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, 45791151 + ... + 45791589.

It is an arithmetic number, because the mean of its divisors is an integer number (387425610).

Almost surely, 220102411430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102411430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27894643920).

20102411430 is an abundant number, since it is smaller than the sum of its proper divisors (35686876410).

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

20102411430 is a wasteful number, since it uses less digits than its factorization.

20102411430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20102411430 its reverse (3411420102), we get a palindrome (23513831532).

The spelling of 20102411430 in words is "twenty billion, one hundred two million, four hundred eleven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 173 255 306 346 439 510 519 765 865 878 1038 1317 1530 1557 1730 2195 2595 2634 2941 3114 3951 4390 5190 5882 6585 7463 7785 7902 8823 13170 14705 14926 15570 17646 19755 22389 26469 29410 29929 37315 39510 44115 44778 52938 59858 67167 74630 75947 88230 89787 111945 132345 134334 149645 151894 179574 223890 227841 264690 269361 299290 335835 379735 448935 455682 508793 538722 671670 683523 759470 897870 1017586 1139205 1291099 1346805 1367046 1526379 2278410 2543965 2582198 2693610 3052758 3417615 3873297 4579137 5087930 6455495 6835230 7631895 7746594 9158274 11619891 12910990 13138831 15263790 19366485 22895685 23239782 26277662 38732970 39416493 45791370 58099455 65694155 78832986 116198910 118249479 131388310 197082465 223360127 236498958 394164930 446720254 591247395 670080381 1116800635 1182494790 1340160762 2010241143 2233601270 3350401905 4020482286 6700803810 10051205715 20102411430