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10030142330120 = 23511179521140839
BaseRepresentation
bin1001000111110101001100…
…0100100001010100001000
31022111212112212100021102102
42101331103010201110020
52303313212414030440
633155441143452532
72053440164046623
oct221752304412410
938455485307372
1010030142330120
113217839950850
12115baaa457148
13579ab8b65413
14269666426dba
15125d912d3b15
hex91f53121508

10030142330120 has 128 divisors (see below), whose sum is σ = 26070565651200. Its totient is φ = 3432391065600.

The previous prime is 10030142330107. The next prime is 10030142330141. The reversal of 10030142330120 is 2103324103001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10030142330092 and 10030142330101.

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 31 ways as a sum of consecutive naturals, for example, 71146661 + ... + 71287499.

It is an arithmetic number, because the mean of its divisors is an integer number (203676294150).

Almost surely, 210030142330120 is an apocalyptic number.

10030142330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030142330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13035282825600).

10030142330120 is an abundant number, since it is smaller than the sum of its proper divisors (16040423321080).

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

10030142330120 is a wasteful number, since it uses less digits than its factorization.

10030142330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150399 (or 150395 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10030142330120 its reverse (2103324103001), we get a palindrome (12133466433121).

The spelling of 10030142330120 in words is "ten trillion, thirty billion, one hundred forty-two million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 9521 19042 38084 47605 76168 95210 104731 140839 161857 190420 209462 281678 323714 380840 418924 523655 563356 647428 704195 809285 837848 1047310 1126712 1294856 1408390 1549229 1618570 1780427 2094620 2394263 2816780 3098458 3237140 3560854 4189240 4788526 5633560 6196916 6474280 7121708 7746145 8902135 9577052 11971315 12393832 14243416 15492290 17804270 19154104 23942630 26336893 30984580 35608540 47885260 52673786 61969160 71217080 95770520 105347572 131684465 210695144 263368930 526737860 1053475720 1340928119 2681856238 5363712476 6704640595 10727424952 13409281190 14750209309 22795778023 26818562380 29500418618 45591556046 53637124760 59000837236 73751046545 91183112092 113978890115 118001674472 147502093090 182366224184 227957780230 250753558253 295004186180 455915560460 501507116506 590008372360 911831120920 1003014233012 1253767791265 2006028466024 2507535582530 5015071165060 10030142330120