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10411405220 = 22547101109663
BaseRepresentation
bin10011011001001000…
…10110111110100100
3222212120220011222202
421230210112332210
5132310304431340
64441040314032
7516001325036
oct115444267644
928776804882
1010411405220
114462a6a927
122026912918
13c9bcc3108
1470aa55c56
1540e075c15
hex26c916fa4

10411405220 has 48 divisors (see below), whose sum is σ = 22550427648. Its totient is φ = 4035561600.

The previous prime is 10411405201. The next prime is 10411405223. The reversal of 10411405220 is 2250411401.

It is a happy number.

10411405220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10411405192 and 10411405201.

It is not an unprimeable number, because it can be changed into a prime (10411405223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40109 + ... + 149771.

It is an arithmetic number, because the mean of its divisors is an integer number (469800576).

Almost surely, 210411405220 is an apocalyptic number.

10411405220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10411405220 is an abundant number, since it is smaller than the sum of its proper divisors (12139022428).

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

10411405220 is a wasteful number, since it uses less digits than its factorization.

10411405220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109820 (or 109818 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10411405220 its reverse (2250411401), we get a palindrome (12661816621).

The spelling of 10411405220 in words is "ten billion, four hundred eleven million, four hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 101 188 202 235 404 470 505 940 1010 2020 4747 9494 18988 23735 47470 94940 109663 219326 438652 548315 1096630 2193260 5154161 10308322 11075963 20616644 22151926 25770805 44303852 51541610 55379815 103083220 110759630 221519260 520570261 1041140522 2082281044 2602851305 5205702610 10411405220