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2121154000 = 245371271193
BaseRepresentation
bin111111001101110…
…0011110111010000
312110211022210021021
41332123203313100
513321003412000
6550251405224
7103364340310
oct17633436720
95424283237
102121154000
11999377439
124b2453814
1327a5b6614
141619d5440
15c634511a
hex7e6e3dd0

2121154000 has 160 divisors (see below), whose sum is σ = 5912764416. Its totient is φ = 720921600.

The previous prime is 2121153973. The next prime is 2121154003. The reversal of 2121154000 is 4511212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121154003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1777404 + ... + 1778596.

Almost surely, 22121154000 is an apocalyptic number.

2121154000 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 2121154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956382208).

2121154000 is an abundant number, since it is smaller than the sum of its proper divisors (3791610416).

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

2121154000 is a wasteful number, since it uses less digits than its factorization.

2121154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2121154000 is about 46055.9876671861. The cubic root of 2121154000 is about 1284.8647074021.

Adding to 2121154000 its reverse (4511212), we get a palindrome (2125665212).

The spelling of 2121154000 in words is "two billion, one hundred twenty-one million, one hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 127 140 175 200 250 254 280 350 400 500 508 560 635 700 875 889 1000 1016 1193 1270 1400 1750 1778 2000 2032 2386 2540 2800 3175 3500 3556 4445 4772 5080 5965 6350 7000 7112 8351 8890 9544 10160 11930 12700 14000 14224 15875 16702 17780 19088 22225 23860 25400 29825 31750 33404 35560 41755 44450 47720 50800 59650 63500 66808 71120 83510 88900 95440 111125 119300 127000 133616 149125 151511 167020 177800 208775 222250 238600 254000 298250 303022 334040 355600 417550 444500 477200 596500 606044 668080 757555 835100 889000 1043875 1060577 1193000 1212088 1515110 1670200 1778000 2087750 2121154 2386000 2424176 3030220 3340400 3787775 4175500 4242308 5302885 6060440 7575550 8351000 8484616 10605770 12120880 15151100 16702000 16969232 18938875 21211540 26514425 30302200 37877750 42423080 53028850 60604400 75755500 84846160 106057700 132572125 151511000 212115400 265144250 303022000 424230800 530288500 1060577000 2121154000