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1110322313420 = 2251731230711069
BaseRepresentation
bin10000001010000100010…
…111011111100011001100
310221010221021022121202012
4100022010113133203030
5121142420003012140
62210024112320352
7143134551641525
oct20120427374314
93833837277665
101110322313420
11398980aaa931
1215b2308430b8
138091a4a6938
143ba5036b84c
151dd36cc9265
hex102845df8cc

1110322313420 has 144 divisors (see below), whose sum is σ = 2559583968480. Its totient is φ = 403165624320.

The previous prime is 1110322313417. The next prime is 1110322313447. The reversal of 1110322313420 is 243132230111.

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, 100303646 + ... + 100314714.

It is an arithmetic number, because the mean of its divisors is an integer number (17774888670).

Almost surely, 21110322313420 is an apocalyptic number.

1110322313420 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 1110322313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279791984240).

1110322313420 is an abundant number, since it is smaller than the sum of its proper divisors (1449261655060).

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

1110322313420 is a wasteful number, since it uses less digits than its factorization.

1110322313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11464 (or 11431 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1110322313420 its reverse (243132230111), we get a palindrome (1353454543531).

The spelling of 1110322313420 in words is "one trillion, one hundred ten billion, three hundred twenty-two million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 307 310 340 527 614 620 961 1054 1228 1535 1922 2108 2635 3070 3844 4805 5219 5270 6140 9517 9610 10438 10540 11069 16337 19034 19220 20876 22138 26095 32674 38068 44276 47585 52190 55345 65348 81685 95170 104380 110690 161789 163370 188173 190340 221380 295027 323578 326740 343139 376346 590054 647156 686278 752692 808945 940865 1180108 1372556 1475135 1617890 1715695 1881730 2950270 3235780 3398183 3431390 3763460 5015459 5833363 5900540 6796366 6862780 10030918 10637309 11666726 13592732 16990915 20061836 21274618 23333452 25077295 29166815 33981830 42549236 50154590 53186545 57769111 58333630 67963660 100309180 105343673 106373090 115538222 116667260 180834253 210687346 212746180 231076444 288845555 361668506 421374692 526718365 577691110 723337012 904171265 1053436730 1155382220 1790842441 1808342530 2106873460 3265653863 3581684882 3616685060 6531307726 7163369764 8954212205 13062615452 16328269315 17908424410 32656538630 35816848820 55516115671 65313077260 111032231342 222064462684 277580578355 555161156710 1110322313420