Search a number
-
+
10241401041132 = 22319142979314161
BaseRepresentation
bin1001010100001000001100…
…0100100011000011101100
31100021001211211212201221120
42111002003010203003230
52320243342131304012
633440500143100540
72104626315342162
oct225020304430354
940231754781846
1010241401041132
113299398993198
121194a285a1750
135939b5881571
142759878c1232
1512b607d9c58c
hex950831230ec

10241401041132 has 48 divisors (see below), whose sum is σ = 25154574345600. Its totient is φ = 3234093730560.

The previous prime is 10241401041083. The next prime is 10241401041133. The reversal of 10241401041132 is 23114010414201.

It is a happy number.

It is a super-2 number, since 2×102414010411322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10241401041133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32442132 + ... + 32756292.

It is an arithmetic number, because the mean of its divisors is an integer number (524053632200).

Almost surely, 210241401041132 is an apocalyptic number.

10241401041132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10241401041132 is an abundant number, since it is smaller than the sum of its proper divisors (14913173304468).

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

10241401041132 is a wasteful number, since it uses less digits than its factorization.

10241401041132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457166 (or 457164 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10241401041132 its reverse (23114010414201), we get a palindrome (33355411455333).

The spelling of 10241401041132 in words is "ten trillion, two hundred forty-one billion, four hundred one million, forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 142979 285958 314161 428937 571916 628322 857874 942483 1256644 1715748 1884966 2716601 3769932 5433202 5969059 8149803 10866404 11938118 16299606 17907177 23876236 32599212 35814354 71628708 44918425619 89836851238 134755276857 179673702476 269510553714 539021107428 853450086761 1706900173522 2560350260283 3413800347044 5120700520566 10241401041132