Search a number
-
+
101030542002 = 23413231119039
BaseRepresentation
bin101111000010111100…
…0111011101010110010
3100122202222210022010000
41132011320323222302
53123402304321002
6114225055050430
710204426303065
oct1360570735262
9318688708100
10101030542002
113993511a605
12176b6b10a16
1396b1181500
144c65c7c8dc
15296495061c
hex1785e3bab2

101030542002 has 120 divisors (see below), whose sum is σ = 253046661120. Its totient is φ = 30083283360.

The previous prime is 101030541967. The next prime is 101030542043. The reversal of 101030542002 is 200245030101.

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 59 ways as a sum of consecutive naturals, for example, 789199 + ... + 908237.

It is an arithmetic number, because the mean of its divisors is an integer number (2108722176).

Almost surely, 2101030542002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030542002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126523330560).

101030542002 is an abundant number, since it is smaller than the sum of its proper divisors (152016119118).

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

101030542002 is a wasteful number, since it uses less digits than its factorization.

101030542002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119110 (or 119088 counting only the distinct ones).

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

Adding to 101030542002 its reverse (200245030101), we get a palindrome (301275572103).

The spelling of 101030542002 in words is "one hundred one billion, thirty million, five hundred forty-two thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 169 186 234 279 338 351 403 507 558 702 806 837 1014 1053 1209 1521 1674 2106 2418 2511 3042 3627 4563 5022 5239 7254 9126 10478 10881 13689 15717 21762 27378 31434 32643 47151 65286 94302 119039 141453 238078 282906 357117 424359 714234 848718 1071351 1547507 2142702 3095014 3214053 3690209 4642521 6428106 7380418 9285042 9642159 11070627 13927563 19284318 20117591 22141254 27855126 33211881 40235182 41782689 47972717 60352773 66423762 83565378 95945434 99635643 120705546 125348067 143918151 181058319 199271286 250696134 287836302 298906929 362116638 431754453 543174957 597813858 623645321 863508906 1086349914 1247290642 1295263359 1629524871 1870935963 2590526718 3259049742 3741871926 3885790077 5612807889 7771580154 11225615778 16838423667 33676847334 50515271001 101030542002