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3143122000 = 24532416521
BaseRepresentation
bin1011101101011000…
…0011110001010000
322010001100010210221
42323112003301100
522414114401000
61235520002424
7140614044664
oct27326036120
98101303727
103143122000
111373235097
12738760414
133b1245905
1421b6208a4
15135e1561a
hexbb583c50

3143122000 has 80 divisors (see below), whose sum is σ = 7632774864. Its totient is φ = 1251840000.

The previous prime is 3143121973. The next prime is 3143122019. The reversal of 3143122000 is 2213413.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 146216464 + 2996905536 = 12092^2 + 54744^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478740 + ... + 485260.

Almost surely, 23143122000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3143122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816387432).

3143122000 is an abundant number, since it is smaller than the sum of its proper divisors (4489652864).

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

3143122000 is a wasteful number, since it uses less digits than its factorization.

3143122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3143122000 is about 56063.5532231057. The cubic root of 3143122000 is about 1464.8295064203.

Adding to 3143122000 its reverse (2213413), we get a palindrome (3145335413).

The spelling of 3143122000 in words is "three billion, one hundred forty-three million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 241 250 400 482 500 964 1000 1205 1928 2000 2410 3856 4820 6025 6521 9640 12050 13042 19280 24100 26084 30125 32605 48200 52168 60250 65210 96400 104336 120500 130420 163025 241000 260840 326050 482000 521680 652100 815125 1304200 1571561 1630250 2608400 3143122 3260500 6286244 6521000 7857805 12572488 13042000 15715610 25144976 31431220 39289025 62862440 78578050 125724880 157156100 196445125 314312200 392890250 628624400 785780500 1571561000 3143122000