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231033110100 = 2235213296319993
BaseRepresentation
bin1101011100101010100…
…1010111111001010100
3211002100002120000111120
43113022221113321110
512241123434010400
6254045105203540
722456134014442
oct3271251277124
9732302500446
10231033110100
1189a87193131
12389386305b0
1318a2b744c10
14b279815b92
156022b1eca0
hex35caa57e54

231033110100 has 144 divisors (see below), whose sum is σ = 720154448832. Its totient is φ = 56847651840.

The previous prime is 231033110071. The next prime is 231033110111. The reversal of 231033110100 is 1011330132.

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 231033110100.

It is a congruent number.

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, 11545704 + ... + 11565696.

Almost surely, 2231033110100 is an apocalyptic number.

231033110100 is a gapful number since it is divisible by the number (20) 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 231033110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360077224416).

231033110100 is an abundant number, since it is smaller than the sum of its proper divisors (489121338732).

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

231033110100 is a wasteful number, since it uses less digits than its factorization.

231033110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22986 (or 22979 counting only the distinct ones).

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

Adding to 231033110100 its reverse (1011330132), we get a palindrome (232044440232).

The spelling of 231033110100 in words is "two hundred thirty-one billion, thirty-three million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 2963 3900 5926 8889 11852 14815 17778 19993 29630 35556 38519 39986 44445 59260 59979 74075 77038 79972 88890 99965 115557 119958 148150 154076 177780 192595 199930 222225 231114 239916 259909 296300 299895 385190 399860 444450 462228 499825 519818 577785 599790 770380 779727 888900 962975 999650 1039636 1155570 1199580 1299545 1499475 1559454 1925950 1999300 2311140 2599090 2888925 2998950 3118908 3851900 3898635 5198180 5777850 5997900 6497725 7797270 11555700 12995450 15594540 19493175 25990900 38986350 59239259 77972700 118478518 177717777 236957036 296196295 355435554 592392590 710871108 770110367 888588885 1184785180 1480981475 1540220734 1777177770 2310331101 2961962950 3080441468 3554355540 3850551835 4442944425 4620662202 5923925900 7701103670 8885888850 9241324404 11551655505 15402207340 17771777700 19252759175 23103311010 38505518350 46206622020 57758277525 77011036700 115516555050 231033110100