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10142143000 = 2353111948527
BaseRepresentation
bin10010111001000010…
…01101001000011000
3222011211020020122221
421130201031020120
5131232342034000
64354221153424
7506221536013
oct113441151030
928154206587
1010142143000
114334a80170
121b706bb874
13c58298062
146c2da437a
153e55d961a
hex25c84d218

10142143000 has 128 divisors (see below), whose sum is σ = 27253324800. Its totient is φ = 3493872000.

The previous prime is 10142142973. The next prime is 10142143027. The reversal of 10142143000 is 34124101.

It is an interprime number because it is at equal distance from previous prime (10142142973) and next prime (10142143027).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184737 + ... + 233263.

It is an arithmetic number, because the mean of its divisors is an integer number (212916600).

Almost surely, 210142143000 is an apocalyptic number.

10142143000 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 10142143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13626662400).

10142143000 is an abundant number, since it is smaller than the sum of its proper divisors (17111181800).

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

10142143000 is a wasteful number, since it uses less digits than its factorization.

10142143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48578 (or 48564 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10142143000 its reverse (34124101), we get a palindrome (10176267101).

The spelling of 10142143000 in words is "ten billion, one hundred forty-two million, one hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 275 380 418 440 475 500 550 760 836 950 1000 1045 1100 1375 1672 1900 2090 2200 2375 2750 3800 4180 4750 5225 5500 8360 9500 10450 11000 19000 20900 26125 41800 48527 52250 97054 104500 194108 209000 242635 388216 485270 533797 922013 970540 1067594 1213175 1844026 1941080 2135188 2426350 2668985 3688052 4270376 4610065 4852700 5337970 6065875 7376104 9220130 9705400 10142143 10675940 12131750 13344925 18440260 20284286 21351880 23050325 24263500 26689850 36880520 40568572 46100650 48527000 50710715 53379700 66724625 81137144 92201300 101421430 106759400 115251625 133449250 184402600 202842860 230503250 253553575 266898500 405685720 461006500 507107150 533797000 922013000 1014214300 1267767875 2028428600 2535535750 5071071500 10142143000