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1101631325312 = 27723531008613
BaseRepresentation
bin10000000001111110010…
…110000000010010000000
310220022111120200200100202
4100001332112000102000
5121022120104402222
62202025450304332
7142406310523010
oct20017626002200
93808446620322
101101631325312
11395221188931
121596061280a8
137cb63a5b31b
143b467dd3c40
151d9c8cdb892
hex1007e580480

1101631325312 has 128 divisors (see below), whose sum is σ = 2666614037760. Its totient is φ = 443079217152.

The previous prime is 1101631325297. The next prime is 1101631325323. The reversal of 1101631325312 is 2135231361011.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587918 + ... + 1596530.

It is an arithmetic number, because the mean of its divisors is an integer number (20832922170).

Almost surely, 21101631325312 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 1101631325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333307018880).

1101631325312 is an abundant number, since it is smaller than the sum of its proper divisors (1564982712448).

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

1101631325312 is a wasteful number, since it uses less digits than its factorization.

1101631325312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008710 (or 1008698 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

Adding to 1101631325312 its reverse (2135231361011), we get a palindrome (3236862686323).

The spelling of 1101631325312 in words is "one trillion, one hundred one billion, six hundred thirty-one million, three hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 53 56 64 92 106 112 128 161 184 212 224 322 368 371 424 448 644 736 742 848 896 1219 1288 1472 1484 1696 2438 2576 2944 2968 3392 4876 5152 5936 6784 8533 9752 10304 11872 17066 19504 20608 23744 34132 39008 47488 68264 78016 136528 156032 273056 546112 1008613 1092224 2017226 4034452 7060291 8068904 14120582 16137808 23198099 28241164 32275616 46396198 53456489 56482328 64551232 92792396 106912978 112964656 129102464 162386693 185584792 213825956 225929312 324773386 371169584 374195423 427651912 451858624 649546772 742339168 748390846 855303824 903717248 1229499247 1299093544 1484678336 1496781692 1710607648 2458998494 2598187088 2969356672 2993563384 3421215296 4917996988 5196374176 5987126768 6842430592 8606494729 9835993976 10392748352 11974253536 17212989458 19671987952 20785496704 23948507072 34425978916 39343975904 47897014144 68851957832 78687951808 137703915664 157375903616 275407831328 550815662656 1101631325312