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3143011000 = 235317293631
BaseRepresentation
bin1011101101010110…
…1000101010111000
322010001010111112211
42323111220222320
522414102323000
61235513344504
7140613103243
oct27325505270
98101114484
103143011000
111373169758
12738708134
133b120722c
1421b5d225a
15135de27ba
hexbb568ab8

3143011000 has 128 divisors (see below), whose sum is σ = 7826232960. Its totient is φ = 1177344000.

The previous prime is 3143010979. The next prime is 3143011009. The reversal of 3143011000 is 1103413.

It is a super-2 number, since 2×31430110002 = 19757036292242000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143011009) by changing a digit.

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, 4980685 + ... + 4981315.

It is an arithmetic number, because the mean of its divisors is an integer number (61142445).

Almost surely, 23143011000 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 3143011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913116480).

3143011000 is an abundant number, since it is smaller than the sum of its proper divisors (4683221960).

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

3143011000 is a wasteful number, since it uses less digits than its factorization.

3143011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3143011000 is about 56062.5632664080. The cubic root of 3143011000 is about 1464.8122626322.

Adding to 3143011000 its reverse (1103413), we get a palindrome (3144114413).

The spelling of 3143011000 in words is "three billion, one hundred forty-three million, eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 293 340 425 500 586 631 680 850 1000 1172 1262 1465 1700 2125 2344 2524 2930 3155 3400 4250 4981 5048 5860 6310 7325 8500 9962 10727 11720 12620 14650 15775 17000 19924 21454 24905 25240 29300 31550 36625 39848 42908 49810 53635 58600 63100 73250 78875 85816 99620 107270 124525 126200 146500 157750 184883 199240 214540 249050 268175 293000 315500 369766 429080 498100 536350 622625 631000 739532 924415 996200 1072700 1245250 1340875 1479064 1848830 2145400 2490500 2681750 3143011 3697660 4622075 4981000 5363500 6286022 7395320 9244150 10727000 12572044 15715055 18488300 23110375 25144088 31430110 36976600 46220750 62860220 78575275 92441500 125720440 157150550 184883000 314301100 392876375 628602200 785752750 1571505500 3143011000