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2121151780 = 2251126114369
BaseRepresentation
bin111111001101110…
…0011010100100100
312110211022200020001
41332123203110210
513321003324110
6550251351044
7103364330656
oct17633432444
95424280201
102121151780
11999375800
124b2452484
1327a5b55c7
141619d46d6
15c634463a
hex7e6e3524

2121151780 has 72 divisors (see below), whose sum is σ = 4976790840. Its totient is φ = 758630400.

The previous prime is 2121151777. The next prime is 2121151801. The reversal of 2121151780 is 871511212.

It can be written as a sum of positive squares in 4 ways, for example, as 11035684 + 2110116096 = 3322^2 + 45936^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 140436 + ... + 154804.

It is an arithmetic number, because the mean of its divisors is an integer number (69122095).

Almost surely, 22121151780 is an apocalyptic number.

2121151780 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 2121151780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488395420).

2121151780 is an abundant number, since it is smaller than the sum of its proper divisors (2855639060).

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

2121151780 is a wasteful number, since it uses less digits than its factorization.

2121151780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14461 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 28.

The square root of 2121151780 is about 46055.9635660790. The cubic root of 2121151780 is about 1284.8642591555.

Adding to 2121151780 its reverse (871511212), we get a palindrome (2992662992).

The spelling of 2121151780 in words is "two billion, one hundred twenty-one million, one hundred fifty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 121 122 220 242 244 305 484 605 610 671 1210 1220 1342 2420 2684 3355 6710 7381 13420 14369 14762 28738 29524 36905 57476 71845 73810 143690 147620 158059 287380 316118 632236 790295 876509 1580590 1738649 1753018 3161180 3477298 3506036 4382545 6954596 8693245 8765090 9641599 17386490 17530180 19283198 34772980 38566396 48207995 96415990 106057589 192831980 212115178 424230356 530287945 1060575890 2121151780