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2142101550 = 2352233120029
BaseRepresentation
bin111111110101101…
…1110000000101110
312112021202000220110
41333223132000232
513341334222200
6552320400450
7104040364011
oct17753360056
95467660813
102142101550
119aa184666
124b9476126
13281a3c114
141646c9378
15c80d1b50
hex7fade02e

2142101550 has 96 divisors (see below), whose sum is σ = 5722490880. Its totient is φ = 528739200.

The previous prime is 2142101543. The next prime is 2142101579. The reversal of 2142101550 is 551012412.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 96936 + ... + 116964.

It is an arithmetic number, because the mean of its divisors is an integer number (59609280).

Almost surely, 22142101550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142101550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861245440).

2142101550 is an abundant number, since it is smaller than the sum of its proper divisors (3580389330).

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

2142101550 is a wasteful number, since it uses less digits than its factorization.

2142101550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20098 (or 20093 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2142101550 is about 46282.8429334240. The cubic root of 2142101550 is about 1289.0804395446.

Adding to 2142101550 its reverse (551012412), we get a palindrome (2693113962).

The spelling of 2142101550 in words is "two billion, one hundred forty-two million, one hundred one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 31 46 50 62 69 75 93 115 138 150 155 186 230 310 345 465 575 690 713 775 930 1150 1426 1550 1725 2139 2325 3450 3565 4278 4650 7130 10695 17825 20029 21390 35650 40058 53475 60087 100145 106950 120174 200290 300435 460667 500725 600870 620899 921334 1001450 1241798 1382001 1502175 1862697 2303335 2764002 3004350 3104495 3725394 4606670 6208990 6910005 9313485 11516675 13820010 14280677 15522475 18626970 23033350 28561354 31044950 34550025 42842031 46567425 69100050 71403385 85684062 93134850 142806770 214210155 357016925 428420310 714033850 1071050775 2142101550