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2012802000 = 243531130497
BaseRepresentation
bin111011111111000…
…1110101111010000
312012021102221021020
41313332032233100
513110234131000
6531421155440
7100610351256
oct16776165720
95167387236
102012802000
119431a0a30
124820bbb80
1326100a401
1415146c5d6
15bba90ba0
hex77f8ebd0

2012802000 has 160 divisors (see below), whose sum is σ = 7079439744. Its totient is φ = 487936000.

The previous prime is 2012801983. The next prime is 2012802019. The reversal of 2012802000 is 2082102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50752 + ... + 81248.

Almost surely, 22012802000 is an apocalyptic number.

2012802000 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 2012802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539719872).

2012802000 is an abundant number, since it is smaller than the sum of its proper divisors (5066637744).

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

2012802000 is a wasteful number, since it uses less digits than its factorization.

2012802000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30534 (or 30518 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2012802000 is about 44864.2619464535. The cubic root of 2012802000 is about 1262.6035859196.

Adding to 2012802000 its reverse (2082102), we get a palindrome (2014884102).

The spelling of 2012802000 in words is "two billion, twelve million, eight hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 30497 33000 60994 66000 91491 121988 152485 182982 243976 304970 335467 365964 457455 487952 609940 670934 731928 762425 914910 1006401 1219880 1341868 1463856 1524850 1677335 1829820 2012802 2287275 2439760 2683736 3049700 3354670 3659640 3812125 4025604 4574550 5032005 5367472 6099400 6709340 7319280 7624250 8051208 8386675 9149100 10064010 11436375 12198800 13418680 15248500 16102416 16773350 18298200 20128020 22872750 25160025 26837360 30497000 33546700 36596400 40256040 41933375 45745500 50320050 60994000 67093400 80512080 83866750 91491000 100640100 125800125 134186800 167733500 182982000 201280200 251600250 335467000 402560400 503200500 670934000 1006401000 2012802000