Search a number
-
+
21031002202100 = 22521183577399221
BaseRepresentation
bin1001100100000101010010…
…11010100101111111110100
32202110112200200222222100012
410302002221122211333310
510224032443030431400
6112421301541235352
74300303561111532
oct462025132457764
982415620888305
1021031002202100
11677921a514260
122437b48102b58
13b972a4472c57
14529c97c71152
152670e81ded35
hex1320a96a5ff4

21031002202100 has 144 divisors (see below), whose sum is σ = 50473401120576. Its totient is φ = 7542383616000.

The previous prime is 21031002202069. The next prime is 21031002202153. The reversal of 21031002202100 is 120220013012.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 52480490 + ... + 52879710.

It is an arithmetic number, because the mean of its divisors is an integer number (350509730004).

Almost surely, 221031002202100 is an apocalyptic number.

21031002202100 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 21031002202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25236700560288).

21031002202100 is an abundant number, since it is smaller than the sum of its proper divisors (29442398918476).

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

21031002202100 is a wasteful number, since it uses less digits than its factorization.

21031002202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399906 (or 399899 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 21031002202100 its reverse (120220013012), we get a palindrome (21151222215112).

The spelling of 21031002202100 in words is "twenty-one trillion, thirty-one billion, two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 166 220 275 332 415 550 577 830 913 1100 1154 1660 1826 2075 2308 2885 3652 4150 4565 5770 6347 8300 9130 11540 12694 14425 18260 22825 25388 28850 31735 45650 47891 57700 63470 91300 95782 126940 158675 191564 239455 317350 399221 478910 526801 634700 798442 957820 1053602 1197275 1596884 1996105 2107204 2394550 2634005 3992210 4391431 4789100 5268010 7984420 8782862 9980525 10536020 13170025 17565724 19961050 21957155 26340050 33135343 39922100 43914310 52680100 66270686 87828620 109785775 132541372 165676715 219571550 230350517 331353430 364488773 439143100 460701034 662706860 728977546 828383575 921402068 1151752585 1457955092 1656767150 1822443865 2303505170 2533855687 3313534300 3644887730 4607010340 5067711374 5758762925 7289775460 9112219325 10135422748 11517525850 12669278435 18224438650 19119092911 23035051700 25338556870 36448877300 38238185822 50677113740 63346392175 76476371644 95595464555 126692784350 191190929110 210310022021 253385568700 382381858220 420620044042 477977322775 841240088084 955954645550 1051550110105 1911909291100 2103100220210 4206200440420 5257750550525 10515501101050 21031002202100