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231344044100 = 2252132331249589
BaseRepresentation
bin1101011101110100101…
…1011111100001000100
3211010010202122002202122
43113131023133201010
512242243033402400
6254140013425112
722466630633531
oct3273513374104
9733122562678
10231344044100
118a126755484
1238a0479b198
1318a7aca0730
14b2a8c33d88
15604008d685
hex35dd2df844

231344044100 has 144 divisors (see below), whose sum is σ = 582339394560. Its totient is φ = 79069478400.

The previous prime is 231344044067. The next prime is 231344044103. The reversal of 231344044100 is 1440443132.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 231344044100.

It is not an unprimeable number, because it can be changed into a prime (231344044103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802106 + ... + 1051694.

Almost surely, 2231344044100 is an apocalyptic number.

231344044100 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 231344044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291169697280).

231344044100 is an abundant number, since it is smaller than the sum of its proper divisors (350995350460).

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

231344044100 is a wasteful number, since it uses less digits than its factorization.

231344044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249670 (or 249663 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 231344044100 its reverse (1440443132), we get a palindrome (232784487232).

The spelling of 231344044100 in words is "two hundred thirty-one billion, three hundred forty-four million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 31 46 50 52 62 65 92 100 115 124 130 155 230 260 299 310 325 403 460 575 598 620 650 713 775 806 1150 1196 1300 1426 1495 1550 1612 2015 2300 2852 2990 3100 3565 4030 5980 7130 7475 8060 9269 10075 14260 14950 17825 18538 20150 29900 35650 37076 40300 46345 71300 92690 185380 231725 249589 463450 499178 926900 998356 1247945 2495890 3244657 4991780 5740547 6239725 6489314 7737259 11481094 12479450 12978628 15474518 16223285 22962188 24958900 28702735 30949036 32446570 38686295 57405470 64893140 74627111 77372590 81116425 100584367 114810940 143513675 149254222 154745180 162232850 177956957 193431475 201168734 287027350 298508444 324465700 355913914 373135555 386862950 402337468 502921835 574054700 711827828 746271110 773725900 889784785 1005843670 1492542220 1779569570 1865677775 2011687340 2313440441 2514609175 3559139140 3731355550 4448923925 4626880882 5029218350 7462711100 8897847850 9253761764 10058436700 11567202205 17795695700 23134404410 46268808820 57836011025 115672022050 231344044100