Search a number
-
+
110323131000 = 2335379746141
BaseRepresentation
bin110011010111111000…
…1010110001001111000
3101112202121102201202220
41212233301112021320
53301420210143000
6122403131324040
710653624066225
oct1465761261170
9345677381686
10110323131000
1142873593225
121946abb0620
13a532436294
1454a809894c
152d0a6751a0
hex19afc56278

110323131000 has 128 divisors (see below), whose sum is σ = 344647517760. Its totient is φ = 29381952000.

The previous prime is 110323130969. The next prime is 110323131019. The reversal of 110323131000 is 131323011.

It is a super-2 number, since 2×1103231310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 2367930 + ... + 2414070.

Almost surely, 2110323131000 is an apocalyptic number.

110323131000 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 110323131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172323758880).

110323131000 is an abundant number, since it is smaller than the sum of its proper divisors (234324386760).

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

110323131000 is a wasteful number, since it uses less digits than its factorization.

110323131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46962 (or 46948 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 110323131000 its reverse (131323011), we get a palindrome (110454454011).

The spelling of 110323131000 in words is "one hundred ten billion, three hundred twenty-three million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 797 1000 1500 1594 2391 3000 3188 3985 4782 6376 7970 9564 11955 15940 19128 19925 23910 31880 39850 46141 47820 59775 79700 92282 95640 99625 119550 138423 159400 184564 199250 230705 239100 276846 298875 369128 398500 461410 478200 553692 597750 692115 797000 922820 1107384 1153525 1195500 1384230 1845640 2307050 2391000 2768460 3460575 4614100 5536920 5767625 6921150 9228200 11535250 13842300 17302875 23070500 27684600 34605750 36774377 46141000 69211500 73548754 110323131 138423000 147097508 183871885 220646262 294195016 367743770 441292524 551615655 735487540 882585048 919359425 1103231310 1470975080 1838718850 2206462620 2758078275 3677437700 4412925240 4596797125 5516156550 7354875400 9193594250 11032313100 13790391375 18387188500 22064626200 27580782750 36774377000 55161565500 110323131000