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4141022222130 = 2354773127316783
BaseRepresentation
bin111100010000101000001…
…010001001011100110010
3112122212200221212211211020
4330100220022021130302
51020321303142102010
612450205341400310
7605115251055633
oct74205012113462
915585627784736
104141022222130
11135721a0a7392
1256a683b69096
1324065c3a85a1
141045d862188a
1572ab67ec470
hex3c428289732

4141022222130 has 128 divisors (see below), whose sum is σ = 10369997733888. Its totient is φ = 1057575439872.

The previous prime is 4141022222101. The next prime is 4141022222137. The reversal of 4141022222130 is 312222201414.

It is a self number, because there is not a number n which added to its sum of digits gives 4141022222130.

It is not an unprimeable number, because it can be changed into a prime (4141022222137) 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 63 ways as a sum of consecutive naturals, for example, 12913719 + ... + 13230501.

It is an arithmetic number, because the mean of its divisors is an integer number (81015607296).

Almost surely, 24141022222130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141022222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184998866944).

4141022222130 is an abundant number, since it is smaller than the sum of its proper divisors (6228975511758).

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

4141022222130 is a wasteful number, since it uses less digits than its factorization.

4141022222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317040.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4141022222130 its reverse (312222201414), we get a palindrome (4453244423544).

The spelling of 4141022222130 in words is "four trillion, one hundred forty-one billion, twenty-two million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 73 94 127 141 146 219 235 254 282 365 381 438 470 635 705 730 762 1095 1270 1410 1905 2190 3431 3810 5969 6862 9271 10293 11938 17155 17907 18542 20586 27813 29845 34310 35814 46355 51465 55626 59690 89535 92710 102930 139065 179070 278130 316783 435737 633566 871474 950349 1307211 1583915 1900698 2178685 2614422 3167830 4357370 4751745 6536055 9503490 13072110 14888801 23125159 29777602 40231441 44666403 46250318 69375477 74444005 80462882 89332806 115625795 120694323 138750954 148888010 201157205 223332015 231251590 241388646 346877385 402314410 446664030 603471615 693754770 1086882473 1206943230 1890877727 2173764946 2936895193 3260647419 3781755454 5434412365 5672633181 5873790386 6521294838 8810685579 9454388635 10868824730 11345266362 14684475965 16303237095 17621371158 18908777270 28363165905 29368951930 32606474190 44053427895 56726331810 88106855790 138034074071 276068148142 414102222213 690170370355 828204444426 1380340740710 2070511111065 4141022222130