Search a number
-
+
10041211020 = 2235257651181
BaseRepresentation
bin10010101101000000…
…01011100010001100
3221220210022101000110
421112200023202030
5131031022223040
64340214000020
7503554612461
oct112640134214
927823271013
1010041211020
114293002505
121b42946010
13c403b92a9
146b380d668
153db7ed980
hex25680b88c

10041211020 has 48 divisors (see below), whose sum is σ = 28224832608. Its totient is φ = 2667233280.

The previous prime is 10041211001. The next prime is 10041211027. The reversal of 10041211020 is 2011214001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10041210987 and 10041211005.

It is not an unprimeable number, because it can be changed into a prime (10041211027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310171 + ... + 341010.

It is an arithmetic number, because the mean of its divisors is an integer number (588017346).

Almost surely, 210041211020 is an apocalyptic number.

10041211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041211020 is an abundant number, since it is smaller than the sum of its proper divisors (18183621588).

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

10041211020 is a wasteful number, since it uses less digits than its factorization.

10041211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651450 (or 651448 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10041211020 its reverse (2011214001), we get a palindrome (12052425021).

The spelling of 10041211020 in words is "ten billion, forty-one million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 257 514 771 1028 1285 1542 2570 3084 3855 5140 7710 15420 651181 1302362 1953543 2604724 3255905 3907086 6511810 7814172 9767715 13023620 19535430 39070860 167353517 334707034 502060551 669414068 836767585 1004121102 1673535170 2008242204 2510302755 3347070340 5020605510 10041211020