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4103022143112 = 23319109117334759
BaseRepresentation
bin111011101101001111001…
…011010110011010001000
3112112020121200000211011020
4323231033023112122020
51014210442132034422
612420522524032440
7602301466530354
oct73551713263210
915466550024136
104103022143112
11134209a041602
12563239992720
13239bb4773429
141028318cc464
1571ae06ae95c
hex3bb4f2d6688

4103022143112 has 128 divisors (see below), whose sum is σ = 10815831936000. Its totient is φ = 1293484757760.

The previous prime is 4103022143111. The next prime is 4103022143141. The reversal of 4103022143112 is 2113412203014.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4103022143111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862158189 + ... + 862162947.

It is an arithmetic number, because the mean of its divisors is an integer number (84498687000).

Almost surely, 24103022143112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4103022143112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407915968000).

4103022143112 is an abundant number, since it is smaller than the sum of its proper divisors (6712809792888).

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

4103022143112 is a wasteful number, since it uses less digits than its factorization.

4103022143112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7611 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4103022143112 its reverse (2113412203014), we get a palindrome (6216434346126).

The spelling of 4103022143112 in words is "four trillion, one hundred three billion, twenty-two million, one hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1091 1733 2182 3273 3466 4364 4759 5199 6546 6932 8728 9518 10398 13092 13864 14277 19036 20729 20796 26184 28554 32927 38072 41458 41592 57108 62187 65854 82916 90421 98781 114216 124374 131708 165832 180842 197562 248748 263416 271263 361684 395124 497496 542526 723368 790248 1085052 1890703 2170104 3781406 5192069 5672109 7562812 8247347 10384138 11344218 15125624 15576207 16494694 20768276 22688436 24742041 31152414 32989388 35923357 41536552 45376872 49484082 62304828 65978776 71846714 98649311 98968164 107770071 124609656 143693428 156699593 197298622 197936328 215540142 287386856 295947933 313399186 394597244 431080284 470098779 591895866 626798372 789194488 862160568 940197558 1183791732 1253596744 1880395116 2367583464 3760790232 8997855577 17995711154 26993566731 35991422308 53987133462 71982844616 107974266924 170959255963 215948533848 341918511926 512877767889 683837023852 1025755535778 1367674047704 2051511071556 4103022143112