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2143061000 = 23533173947
BaseRepresentation
bin111111110111100…
…1000010000001000
312112100112210000122
41333233020100020
513342110423000
6552353122412
7104051501153
oct17757102010
95470483018
102143061000
119aa77a4a3
124b9859408
13281cb6a42
14164898c9a
15c8221085
hex7fbc8408

2143061000 has 128 divisors (see below), whose sum is σ = 5252981760. Its totient is φ = 817344000.

The previous prime is 2143060991. The next prime is 2143061009. The reversal of 2143061000 is 1603412.

It is an interprime number because it is at equal distance from previous prime (2143060991) and next prime (2143061009).

It is a self number, because there is not a number n which added to its sum of digits gives 2143061000.

It is not an unprimeable number, because it can be changed into a prime (2143061009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2262527 + ... + 2263473.

It is an arithmetic number, because the mean of its divisors is an integer number (41038920).

Almost surely, 22143061000 is an apocalyptic number.

2143061000 is a gapful number since it is divisible by the number (20) 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 2143061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626490880).

2143061000 is an abundant number, since it is smaller than the sum of its proper divisors (3109920760).

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

2143061000 is a wasteful number, since it uses less digits than its factorization.

2143061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2143061000 is about 46293.2068450653. The cubic root of 2143061000 is about 1289.2728710718.

Adding to 2143061000 its reverse (1603412), we get a palindrome (2144664412).

The spelling of 2143061000 in words is "two billion, one hundred forty-three million, sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 73 100 124 125 146 155 200 248 250 292 310 365 500 584 620 730 775 947 1000 1240 1460 1550 1825 1894 2263 2920 3100 3650 3788 3875 4526 4735 6200 7300 7576 7750 9052 9125 9470 11315 14600 15500 18104 18250 18940 22630 23675 29357 31000 36500 37880 45260 47350 56575 58714 69131 73000 90520 94700 113150 117428 118375 138262 146785 189400 226300 234856 236750 276524 282875 293570 345655 452600 473500 553048 565750 587140 691310 733925 947000 1131500 1174280 1382620 1467850 1728275 2143061 2263000 2765240 2935700 3456550 3669625 4286122 5871400 6913100 7339250 8572244 8641375 10715305 13826200 14678500 17144488 17282750 21430610 29357000 34565500 42861220 53576525 69131000 85722440 107153050 214306100 267882625 428612200 535765250 1071530500 2143061000