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331203441210040 = 235741227127094599
BaseRepresentation
bin100101101001110100100111…
…1011101100011001010111000
31121102200201222021121001001101
41023103221033131203022320
5321402414121422210130
63132224432125101144
7126522442012524550
oct11323511735431270
91542621867531041
10331203441210040
119659365511a703
12311915423b77b4
13112a6473053109
145bb0491364160
1528455654bb1ca
hex12d3a4f7632b8

331203441210040 has 128 divisors (see below), whose sum is σ = 876281680512000. Its totient is φ = 110297775928320.

The previous prime is 331203441210017. The next prime is 331203441210077. The reversal of 331203441210040 is 40012144302133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 331203441209990 and 331203441210008.

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, 60941340 + ... + 66153259.

It is an arithmetic number, because the mean of its divisors is an integer number (6845950629000).

Almost surely, 2331203441210040 is an apocalyptic number.

It is an amenable number.

331203441210040 is an abundant number, since it is smaller than the sum of its proper divisors (545078239301960).

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

331203441210040 is a wasteful number, since it uses less digits than its factorization.

331203441210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127094885 (or 127094881 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 331203441210040 its reverse (40012144302133), we get a palindrome (371215585512173).

The spelling of 331203441210040 in words is "three hundred thirty-one trillion, two hundred three billion, four hundred forty-one million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 227 280 287 328 410 454 574 820 908 1135 1148 1435 1589 1640 1816 2270 2296 2870 3178 4540 5740 6356 7945 9080 9307 11480 12712 15890 18614 31780 37228 46535 63560 65149 74456 93070 130298 186140 260596 325745 372280 521192 651490 1302980 2605960 127094599 254189198 508378396 635472995 889662193 1016756792 1270945990 1779324386 2541891980 3558648772 4448310965 5083783960 5210878559 7117297544 8896621930 10421757118 17793243860 20843514236 26054392795 28850473973 35586487720 36476149913 41687028472 52108785590 57700947946 72952299826 104217571180 115401895892 144252369865 145904599652 182380749565 201953317811 208435142360 230803791784 288504739730 291809199304 364761499130 403906635622 577009479460 729522998260 807813271244 1009766589055 1154018958920 1182869432893 1459045996520 1615626542488 2019533178110 2365738865786 4039066356220 4731477731572 5914347164465 8078132712440 8280086030251 9462955463144 11828694328930 16560172060502 23657388657860 33120344121004 41400430151255 47314777315720 66240688242008 82800860302510 165601720605020 331203441210040