Search a number
-
+
210024102112002 = 232191097559804523
BaseRepresentation
bin101111110000010000001100…
…000000000010101100000010
31000112122002220210020110102200
4233300100030000002230002
5210012013330120041002
62022403423542254030
762144512016362203
oct5760201400025402
91015562823213380
10210024102112002
1160a137a33638a2
121b6800b2a27316
139026259916629
1439c1313b6d5aa
15194331ee43b1c
hexbf040c002b02

210024102112002 has 48 divisors (see below), whose sum is σ = 479438986534560. Its totient is φ = 66262941660096.

The previous prime is 210024102111979. The next prime is 210024102112057. The reversal of 210024102112002 is 200211201420012.

210024102112002 is a `hidden beast` number, since 2 + 10 + 0 + 241 + 0 + 211 + 200 + 2 = 666.

It is a super-2 number, since 2×2100241021120022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279527088 + ... + 280277435.

It is an arithmetic number, because the mean of its divisors is an integer number (9988312219470).

Almost surely, 2210024102112002 is an apocalyptic number.

210024102112002 is an abundant number, since it is smaller than the sum of its proper divisors (269414884422558).

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

210024102112002 is a wasteful number, since it uses less digits than its factorization.

210024102112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559805647 (or 559805644 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210024102112002 its reverse (200211201420012), we get a palindrome (410235303532014).

The spelling of 210024102112002 in words is "two hundred ten trillion, twenty-four billion, one hundred two million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 1097 2194 3291 6582 9873 19746 20843 41686 62529 125058 187587 375174 559804523 1119609046 1679413569 3358827138 5038240707 10076481414 10636285937 21272571874 31908857811 63817715622 95726573433 191453146866 614105561731 1228211123462 1842316685193 3684633370386 5526950055579 11053900111158 11668005672889 23336011345778 35004017018667 70008034037334 105012051056001 210024102112002