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2106441120510 = 2325131690725867
BaseRepresentation
bin11110101001110001101…
…011001011101011111110
321110101002111121000110200
4132221301223023223332
5234002442411324020
64251404035344330
7305120401046406
oct36516153135376
97411074530420
102106441120510
11742378109081
122a02aaa520a6
1312383764aa0c
1473d49149806
1539bd7937590
hex1ea71acbafe

2106441120510 has 96 divisors (see below), whose sum is σ = 5519566495872. Its totient is φ = 557327459520.

The previous prime is 2106441120499. The next prime is 2106441120533. The reversal of 2106441120510 is 150211446012.

2106441120510 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 441 + 1 + 205 + 10 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81420597 + ... + 81446463.

It is an arithmetic number, because the mean of its divisors is an integer number (57495484332).

Almost surely, 22106441120510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106441120510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759783247936).

2106441120510 is an abundant number, since it is smaller than the sum of its proper divisors (3413125375362).

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

2106441120510 is a wasteful number, since it uses less digits than its factorization.

2106441120510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32918 (or 32915 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 2106441120510 its reverse (150211446012), we get a palindrome (2256652566522).

The spelling of 2106441120510 in words is "two trillion, one hundred six billion, four hundred forty-one million, one hundred twenty thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3930 5895 6907 11790 13814 20721 25867 34535 41442 51734 62163 69070 77601 103605 124326 129335 155202 207210 232803 258670 310815 388005 465606 621630 776010 904817 1164015 1809634 2328030 2714451 3388577 4524085 5428902 6777154 8143353 9048170 10165731 13572255 16286706 16942885 20331462 27144510 30497193 33885770 40716765 50828655 60994386 81433530 101657310 152485965 178663369 304971930 357326738 535990107 893316845 1071980214 1607970321 1786633690 2679950535 3215940642 5359901070 8039851605 16079703210 23404901339 46809802678 70214704017 117024506695 140429408034 210644112051 234049013390 351073520085 421288224102 702147040170 1053220560255 2106441120510