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10111140141324 = 22319457148965171
BaseRepresentation
bin1001001100100010111011…
…1010101001100100001100
31022210121121202000102001220
42103020232322221210030
52311130103334010244
633300554344003340
72062335323065035
oct223105672514414
938717552012056
1010111140141324
113249124016192
121173734460550
1358462691c061
1426d54b8dda8c
151280321a0319
hex9322eea990c

10111140141324 has 96 divisors (see below), whose sum is σ = 24905818694400. Its totient is φ = 3183816222720.

The previous prime is 10111140141251. The next prime is 10111140141359. The reversal of 10111140141324 is 42314104111101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10111140141294 and 10111140141303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155115259 + ... + 155180429.

It is an arithmetic number, because the mean of its divisors is an integer number (259435611400).

Almost surely, 210111140141324 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 10111140141324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12452909347200).

10111140141324 is an abundant number, since it is smaller than the sum of its proper divisors (14794678553076).

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

10111140141324 is a wasteful number, since it uses less digits than its factorization.

10111140141324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67143 (or 67141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 10111140141324 its reverse (42314104111101), we get a palindrome (52425244252425).

The spelling of 10111140141324 in words is "ten trillion, one hundred eleven billion, one hundred forty million, one hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 457 914 1371 1489 1828 2742 2978 4467 5484 5956 8683 8934 17366 17868 26049 28291 34732 52098 56582 65171 84873 104196 113164 130342 169746 195513 260684 339492 391026 680473 782052 1238249 1360946 2041419 2476498 2721892 3714747 4082838 4952996 7429494 8165676 12928987 14858988 25857974 29783147 38786961 51715948 59566294 77573922 89349441 97039619 119132588 155147844 178698882 194079238 291118857 357397764 388158476 565879793 582237714 1131759586 1164475428 1697639379 1843752761 2263519172 3395278758 3687505522 5531258283 6790557516 7375011044 11062516566 22125033132 44347105883 88694211766 133041317649 177388423532 266082635298 532165270596 842595011777 1685190023554 2527785035331 3370380047108 5055570070662 10111140141324