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110023313100 = 223524312767157
BaseRepresentation
bin110011001110111100…
…1101000011011001100
3101111222201021101221020
41212131321220123030
53300311432004400
6122313301234140
710643323505451
oct1463571503314
9344881241836
10110023313100
114272a323638
12193a6702950
13a4b52a033c
14547a331828
152cde1a02a0
hex199de686cc

110023313100 has 144 divisors (see below), whose sum is σ = 328306987008. Its totient is φ = 28431164160.

The previous prime is 110023313093. The next prime is 110023313137. The reversal of 110023313100 is 1313320011.

It is a super-2 number, since 2×1100233131002 (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 self number, because there is not a number n which added to its sum of digits gives 110023313100.

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, 1604722 + ... + 1671878.

It is an arithmetic number, because the mean of its divisors is an integer number (2279909632).

Almost surely, 2110023313100 is an apocalyptic number.

110023313100 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 110023313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164153493504).

110023313100 is an abundant number, since it is smaller than the sum of its proper divisors (218283673908).

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

110023313100 is a wasteful number, since it uses less digits than its factorization.

110023313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67344 (or 67337 counting only the distinct ones).

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

Adding to 110023313100 its reverse (1313320011), we get a palindrome (111336633111).

The spelling of 110023313100 in words is "one hundred ten billion, twenty-three million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 127 129 150 172 215 254 258 300 381 430 508 516 635 645 762 860 1075 1270 1290 1524 1905 2150 2540 2580 3175 3225 3810 4300 5461 6350 6450 7620 9525 10922 12700 12900 16383 19050 21844 27305 32766 38100 54610 65532 67157 81915 109220 134314 136525 163830 201471 268628 273050 327660 335785 402942 409575 546100 671570 805884 819150 1007355 1343140 1638300 1678925 2014710 2887751 3357850 4029420 5036775 5775502 6715700 8528939 8663253 10073550 11551004 14438755 17057878 17326506 20147100 25586817 28877510 34115756 34653012 42644695 43316265 51173634 57755020 72193775 85289390 86632530 102347268 127934085 144387550 170578780 173265060 213223475 216581325 255868170 288775100 366744377 426446950 433162650 511736340 639670425 733488754 852893900 866325300 1100233131 1279340850 1466977508 1833721885 2200466262 2558681700 3667443770 4400932524 5501165655 7334887540 9168609425 11002331310 18337218850 22004662620 27505828275 36674437700 55011656550 110023313100