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10142042300 = 22521319221611
BaseRepresentation
bin10010111001000001…
…10100100010111100
3222011211001010112022
421130200310202330
5131232330323200
64354215055312
7506220636305
oct113440644274
928154033468
1010142042300
114334a11545
121b70671538
13c58261280
146c2d797ac
153e55b9885
hex25c8348bc

10142042300 has 108 divisors (see below), whose sum is σ = 25015414536. Its totient is φ = 3547497600.

The previous prime is 10142042279. The next prime is 10142042311. The reversal of 10142042300 is 324024101.

It is a super-2 number, since 2×101420423002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 458495 + ... + 480105.

Almost surely, 210142042300 is an apocalyptic number.

10142042300 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 10142042300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507707268).

10142042300 is an abundant number, since it is smaller than the sum of its proper divisors (14873372236).

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

10142042300 is a wasteful number, since it uses less digits than its factorization.

10142042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21676 (or 21650 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10142042300 its reverse (324024101), we get a palindrome (10466066401).

The spelling of 10142042300 in words is "ten billion, one hundred forty-two million, forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 361 380 475 494 650 722 950 988 1235 1300 1444 1805 1900 2470 3610 4693 4940 6175 7220 9025 9386 12350 18050 18772 21611 23465 24700 36100 43222 46930 86444 93860 108055 117325 216110 234650 280943 410609 432220 469300 540275 561886 821218 1080550 1123772 1404715 1642436 2053045 2161100 2809430 4106090 5337917 5618860 7023575 7801571 8212180 10265225 10675834 14047150 15603142 20530450 21351668 26689585 28094300 31206284 39007855 41060900 53379170 78015710 101420423 106758340 133447925 156031420 195039275 202840846 266895850 390078550 405681692 507102115 533791700 780157100 1014204230 2028408460 2535510575 5071021150 10142042300