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1014213000 = 23353477193
BaseRepresentation
bin111100011100111…
…010100110001000
32121200102100200110
4330130322212020
54034114304000
6244350034320
734063445133
oct7434724610
92550370613
101014213000
11480551269
122437a89a0
13132175548
14989ab21a
155e08c850
hex3c73a988

1014213000 has 128 divisors (see below), whose sum is σ = 3232120320. Its totient is φ = 264665600.

The previous prime is 1014212999. The next prime is 1014213001. The reversal of 1014213000 is 3124101.

It is a happy number.

1014213000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1014212999) and next prime (1014213001).

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

It is not an unprimeable number, because it can be changed into a prime (1014213001) 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, 137404 + ... + 144596.

It is an arithmetic number, because the mean of its divisors is an integer number (25250940).

Almost surely, 21014213000 is an apocalyptic number.

1014213000 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 1014213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616060160).

1014213000 is an abundant number, since it is smaller than the sum of its proper divisors (2217907320).

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

1014213000 is a wasteful number, since it uses less digits than its factorization.

1014213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7264 (or 7250 counting only the distinct ones).

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

The square root of 1014213000 is about 31846.7109761746. The cubic root of 1014213000 is about 1004.7153967512.

Adding to 1014213000 its reverse (3124101), we get a palindrome (1017337101).

The spelling of 1014213000 in words is "one billion, fourteen million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 125 141 150 188 200 235 250 282 300 375 376 470 500 564 600 705 750 940 1000 1128 1175 1410 1500 1880 2350 2820 3000 3525 4700 5640 5875 7050 7193 9400 11750 14100 14386 17625 21579 23500 28200 28772 35250 35965 43158 47000 57544 70500 71930 86316 107895 141000 143860 172632 179825 215790 287720 338071 359650 431580 539475 676142 719300 863160 899125 1014213 1078950 1352284 1438600 1690355 1798250 2028426 2157900 2697375 2704568 3380710 3596500 4056852 4315800 5071065 5394750 6761420 7193000 8113704 8451775 10142130 10789500 13522840 16903550 20284260 21579000 25355325 33807100 40568520 42258875 50710650 67614200 84517750 101421300 126776625 169035500 202842600 253553250 338071000 507106500 1014213000