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2121011010 = 2325233133053
BaseRepresentation
bin111111001101100…
…0000111101000010
312110211001112010100
41332123000331002
513320434323020
6550244343230
7103363203366
oct17633007502
95424045110
102121011010
11999289a68
124b23a4b16
1327a566501
141619992a6
15c6317a90
hex7e6c0f42

2121011010 has 96 divisors (see below), whose sum is σ = 5940200448. Its totient is φ = 523543680.

The previous prime is 2121010973. The next prime is 2121011071. The reversal of 2121011010 is 101101212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2121010983 and 2121011001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47644 + ... + 80696.

It is an arithmetic number, because the mean of its divisors is an integer number (61877088).

Almost surely, 22121011010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970100224).

2121011010 is an abundant number, since it is smaller than the sum of its proper divisors (3819189438).

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

2121011010 is a wasteful number, since it uses less digits than its factorization.

2121011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33120 (or 33117 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2121011010 is about 46054.4352912941. The cubic root of 2121011010 is about 1284.8358352358.

Adding to 2121011010 its reverse (101101212), we get a palindrome (2222112222).

The spelling of 2121011010 in words is "two billion, one hundred twenty-one million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 31 45 46 62 69 90 93 115 138 155 186 207 230 279 310 345 414 465 558 690 713 930 1035 1395 1426 2070 2139 2790 3565 4278 6417 7130 10695 12834 21390 32085 33053 64170 66106 99159 165265 198318 297477 330530 495795 594954 760219 991590 1024643 1487385 1520438 2049286 2280657 2974770 3073929 3801095 4561314 5123215 6147858 6841971 7602190 9221787 10246430 11403285 13683942 15369645 18443574 22806570 23566789 30739290 34209855 46108935 47133578 68419710 70700367 92217870 117833945 141400734 212101101 235667890 353501835 424202202 707003670 1060505505 2121011010