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10143331020 = 22325731017643
BaseRepresentation
bin10010111001001011…
…01111001011001100
3222011220110121022200
421130211233023030
5131233143043040
64354302441500
7506234614434
oct113445571314
928156417280
1010143331020
1143357117a9
121b70b93290
13c585c2a24
146c31d32c4
153e5771630
hex25c96f2cc

10143331020 has 144 divisors (see below), whose sum is σ = 31502513952. Its totient is φ = 2641075200.

The previous prime is 10143330973. The next prime is 10143331069. The reversal of 10143331020 is 2013334101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10143330984 and 10143331002.

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, 1323319 + ... + 1330961.

It is an arithmetic number, because the mean of its divisors is an integer number (218767458).

Almost surely, 210143331020 is an apocalyptic number.

10143331020 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 10143331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15751256976).

10143331020 is an abundant number, since it is smaller than the sum of its proper divisors (21359182932).

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

10143331020 is a wasteful number, since it uses less digits than its factorization.

10143331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7832 (or 7827 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10143331020 its reverse (2013334101), we get a palindrome (12156665121).

The spelling of 10143331020 in words is "ten billion, one hundred forty-three million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 101 146 180 202 219 292 303 365 404 438 505 606 657 730 876 909 1010 1095 1212 1314 1460 1515 1818 2020 2190 2628 3030 3285 3636 4380 4545 6060 6570 7373 7643 9090 13140 14746 15286 18180 22119 22929 29492 30572 36865 38215 44238 45858 66357 68787 73730 76430 88476 91716 110595 114645 132714 137574 147460 152860 221190 229290 265428 275148 331785 343935 442380 458580 557939 663570 687870 771943 1115878 1327140 1375740 1543886 1673817 2231756 2315829 2789695 3087772 3347634 3859715 4631658 5021451 5579390 6695268 6947487 7719430 8369085 9263316 10042902 11158780 11579145 13894974 15438860 16738170 20085804 23158290 25107255 27789948 33476340 34737435 46316580 50214510 56351839 69474870 100429020 112703678 138949740 169055517 225407356 281759195 338111034 507166551 563518390 676222068 845277585 1014333102 1127036780 1690555170 2028666204 2535832755 3381110340 5071665510 10143331020