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10143202000 = 245361711171
BaseRepresentation
bin10010111001001010…
…01111101011010000
3222011220020001100011
421130211033223100
5131233124431000
64354300004304
7506233536331
oct113445175320
928156201304
1010143202000
114335633878
121b70b30694
13c58579099
146c319c288
153e57482ba
hex25c94fad0

10143202000 has 160 divisors (see below), whose sum is σ = 25301023488. Its totient is φ = 3931200000.

The previous prime is 10143201989. The next prime is 10143202033. The reversal of 10143202000 is 20234101.

10143202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 8661415 + ... + 8662585.

Almost surely, 210143202000 is an apocalyptic number.

10143202000 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 10143202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650511744).

10143202000 is an abundant number, since it is smaller than the sum of its proper divisors (15157821488).

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

10143202000 is a wasteful number, since it uses less digits than its factorization.

10143202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10143202000 its reverse (20234101), we get a palindrome (10163436101).

The spelling of 10143202000 in words is "ten billion, one hundred forty-three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 71 80 100 122 125 142 200 244 250 284 305 355 400 488 500 568 610 710 976 1000 1136 1171 1220 1420 1525 1775 2000 2342 2440 2840 3050 3550 4331 4684 4880 5680 5855 6100 7100 7625 8662 8875 9368 11710 12200 14200 15250 17324 17750 18736 21655 23420 24400 28400 29275 30500 34648 35500 43310 46840 58550 61000 69296 71000 71431 83141 86620 93680 108275 117100 122000 142000 142862 146375 166282 173240 216550 234200 285724 292750 332564 346480 357155 415705 433100 468400 541375 571448 585500 665128 714310 831410 866200 1082750 1142896 1171000 1330256 1428620 1662820 1732400 1785775 2078525 2165500 2342000 2857240 3325640 3571550 4157050 4331000 5071601 5714480 6651280 7143100 8314100 8662000 8928875 10143202 10392625 14286200 16628200 17857750 20286404 20785250 25358005 28572400 33256400 35715500 40572808 41570500 50716010 71431000 81145616 83141000 101432020 126790025 142862000 166282000 202864040 253580050 405728080 507160100 633950125 1014320200 1267900250 2028640400 2535800500 5071601000 10143202000