Search a number
-
+
103021113121002 = 232174110877554251
BaseRepresentation
bin10111011011001001111000…
…110110100001100011101010
3111111202201111111122110221100
4113123021320312201203222
5102000344214424333002
61003035125045422230
730462013136025066
oct2733117066414352
9444681444573840
10103021113121002
112a90a01066918a
12b67a22240a976
134563b06b4674b
141b62369b86aa6
15bd9c3785811c
hex5db278da18ea

103021113121002 has 96 divisors (see below), whose sum is σ = 242329767773184. Its totient is φ = 31503035520000.

The previous prime is 103021113120983. The next prime is 103021113121033. The reversal of 103021113121002 is 200121311120301.

103021113121002 is a `hidden beast` number, since 10 + 30 + 211 + 1 + 312 + 100 + 2 = 666.

It is a super-2 number, since 2×1030211131210022 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9860377 + ... + 17414627.

It is an arithmetic number, because the mean of its divisors is an integer number (2524268414304).

Almost surely, 2103021113121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103021113121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121164883886592).

103021113121002 is an abundant number, since it is smaller than the sum of its proper divisors (139308654652182).

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

103021113121002 is a wasteful number, since it uses less digits than its factorization.

103021113121002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7555404 (or 7555401 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103021113121002 its reverse (200121311120301), we get a palindrome (303142424241303).

The spelling of 103021113121002 in words is "one hundred three trillion, twenty-one billion, one hundred thirteen million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 697 738 1087 1394 2091 2174 3261 4182 6273 6522 9783 12546 18479 19566 36958 44567 55437 89134 110874 133701 166311 267402 332622 401103 757639 802206 1515278 2272917 4545834 6818751 7554251 13637502 15108502 22662753 45325506 67988259 128422267 135976518 256844534 309724291 385266801 619448582 770533602 929172873 1155800403 1858345746 2311600806 2787518619 5265312947 5575037238 8211470837 10530625894 15795938841 16422941674 24634412511 31591877682 47387816523 49268825022 73903237533 94775633046 139595004229 147806475066 279190008458 336670304317 418785012687 673340608634 837570025374 1010010912951 1256355038061 2020021825902 2512710076122 3030032738853 5723395173389 6060065477706 11446790346778 17170185520167 34340371040334 51510556560501 103021113121002