Search a number
-
+
1021004042200 = 23527971279067
BaseRepresentation
bin11101101101110001001…
…01010100111111011000
310121121101112020022200221
432312320211110333120
5113212004013322300
62101013124005424
7133523301110452
oct16667045247730
93547345208627
101021004042200
1136400718975a
12145a64230874
137538499748c
14375b9c0d2d2
151b85a71131a
hexedb8954fd8

1021004042200 has 96 divisors (see below), whose sum is σ = 2404485388800. Its totient is φ = 403130931840.

The previous prime is 1021004042197. The next prime is 1021004042257. The reversal of 1021004042200 is 22404001201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112602067 + ... + 112611133.

It is an arithmetic number, because the mean of its divisors is an integer number (25046722800).

Almost surely, 21021004042200 is an apocalyptic number.

1021004042200 is a gapful number since it is divisible by the number (10) 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 1021004042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202242694400).

1021004042200 is an abundant number, since it is smaller than the sum of its proper divisors (1383481346600).

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

1021004042200 is a wasteful number, since it uses less digits than its factorization.

1021004042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16289 (or 16280 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1021004042200 its reverse (22404001201), we get a palindrome (1043408043401).

The spelling of 1021004042200 in words is "one trillion, twenty-one billion, four million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 1580 1975 3160 3950 7127 7900 9067 14254 15800 18134 28508 35635 36268 45335 57016 71270 72536 90670 142540 178175 181340 226675 285080 356350 362680 453350 563033 712700 716293 906700 1126066 1425400 1432586 1813400 2252132 2815165 2865172 3581465 4504264 5630330 5730344 7162930 11260660 14075825 14325860 17907325 22521320 28151650 28651720 35814650 56303300 64620509 71629300 112606600 129241018 143258600 258482036 323102545 516964072 646205090 1292410180 1615512725 2584820360 3231025450 5105020211 6462050900 10210040422 12924101800 20420080844 25525101055 40840161688 51050202110 102100404220 127625505275 204200808440 255251010550 510502021100 1021004042200