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10211162060 = 22511181347739
BaseRepresentation
bin10011000001010000…
…11111011111001100
3222100122002210000102
421200220133133030
5131403024141220
64405124350232
7511020305531
oct114050373714
928318083012
1010211162060
11436aa31210
121b8b845378
13c69682238
146cc20cd88
153eb6be775
hex260a1f7cc

10211162060 has 96 divisors (see below), whose sum is σ = 23621794560. Its totient is φ = 3677011200.

The previous prime is 10211162057. The next prime is 10211162083. The reversal of 10211162060 is 6026111201.

10211162060 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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13817171 + ... + 13817909.

It is an arithmetic number, because the mean of its divisors is an integer number (246060360).

Almost surely, 210211162060 is an apocalyptic number.

10211162060 is a gapful number since it is divisible by the number (10) 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 10211162060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11810897280).

10211162060 is an abundant number, since it is smaller than the sum of its proper divisors (13410632500).

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

10211162060 is a wasteful number, since it uses less digits than its factorization.

10211162060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10211162060 its reverse (6026111201), we get a palindrome (16237273261).

It can be divided in two parts, 10211 and 162060, that added together give a palindrome (172271).

The spelling of 10211162060 in words is "ten billion, two hundred eleven million, one hundred sixty-two thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 347 362 694 724 739 905 1388 1478 1735 1810 1991 2956 3470 3620 3695 3817 3982 6940 7390 7634 7964 8129 9955 14780 15268 16258 19085 19910 32516 38170 39820 40645 62807 76340 81290 125614 133759 162580 251228 256433 267518 314035 512866 535036 628070 668795 690877 1025732 1256140 1282165 1337590 1381754 1471349 2564330 2675180 2763508 2820763 2942698 3454385 5128660 5641526 5885396 6908770 7356745 11283052 13817540 14103815 14713490 28207630 29426980 46414373 56415260 92828746 185657492 232071865 464143730 510558103 928287460 1021116206 2042232412 2552790515 5105581030 10211162060