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1012143000 = 233531130671
BaseRepresentation
bin111100010101000…
…001001110011000
32121112112012011210
4330111001032120
54033102034000
6244233423120
734040034141
oct7425011630
92545465153
101012143000
1147a368020
12242b6aaa0
131318cc2ab
14985ccac8
155dcce350
hex3c541398

1012143000 has 128 divisors (see below), whose sum is σ = 3445079040. Its totient is φ = 245360000.

The previous prime is 1012142959. The next prime is 1012143019. The reversal of 1012143000 is 3412101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 17665 + ... + 48335.

It is an arithmetic number, because the mean of its divisors is an integer number (26914680).

Almost surely, 21012143000 is an apocalyptic number.

1012143000 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 1012143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722539520).

1012143000 is an abundant number, since it is smaller than the sum of its proper divisors (2432936040).

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

1012143000 is a wasteful number, since it uses less digits than its factorization.

1012143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30706 (or 30692 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1012143000 is about 31814.1949450241. The cubic root of 1012143000 is about 1004.0313927000.

Adding to 1012143000 its reverse (3412101), we get a palindrome (1015555101).

The spelling of 1012143000 in words is "one billion, twelve million, one hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 30671 33000 61342 92013 122684 153355 184026 245368 306710 337381 368052 460065 613420 674762 736104 766775 920130 1012143 1226840 1349524 1533550 1686905 1840260 2024286 2300325 2699048 3067100 3373810 3680520 3833875 4048572 4600650 5060715 6134200 6747620 7667750 8097144 8434525 9201300 10121430 11501625 13495240 15335500 16869050 18402600 20242860 23003250 25303575 30671000 33738100 40485720 42172625 46006500 50607150 67476200 84345250 92013000 101214300 126517875 168690500 202428600 253035750 337381000 506071500 1012143000