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31204040032100 = 225213233728205767
BaseRepresentation
bin1110001100001010000011…
…01110001011111101100100
311002111002002012102202122002
413012011001232023331210
513042221333222011400
6150210534343424432
76400263125656415
oct706050156137544
9132432065382562
1031204040032100
119a40617124051
1235bb675a55118
1314546b3a239a0
1479c3d828980c
15391a4e4e5ed5
hex1c6141b8bf64

31204040032100 has 144 divisors (see below), whose sum is σ = 78148480343808. Its totient is φ = 10722704002560.

The previous prime is 31204040032079. The next prime is 31204040032153. The reversal of 31204040032100 is 123004040213.

It is a super-2 number, since 2×312040400321002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 12996584 + ... + 15209183.

Almost surely, 231204040032100 is an apocalyptic number.

It is an amenable number.

31204040032100 is an abundant number, since it is smaller than the sum of its proper divisors (46944440311708).

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

31204040032100 is a wasteful number, since it uses less digits than its factorization.

31204040032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28205854 (or 28205847 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31204040032100 its reverse (123004040213), we get a palindrome (31327044072313).

The spelling of 31204040032100 in words is "thirty-one trillion, two hundred four billion, forty million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 37 46 50 52 65 74 92 100 115 130 148 185 230 260 299 325 370 460 481 575 598 650 740 851 925 962 1150 1196 1300 1495 1702 1850 1924 2300 2405 2990 3404 3700 4255 4810 5980 7475 8510 9620 11063 12025 14950 17020 21275 22126 24050 29900 42550 44252 48100 55315 85100 110630 221260 276575 553150 1106300 28205767 56411534 112823068 141028835 282057670 366674971 564115340 648732641 705144175 733349942 1043613379 1297465282 1410288350 1466699884 1833374855 2087226758 2594930564 2820576700 3243663205 3666749710 4174453516 5218066895 6487326410 7333499420 8433524333 9166874275 10436133790 12974652820 13566973927 16218316025 16867048666 18333748550 20872267580 24003107717 26090334475 27133947854 32436632050 33734097332 36667497100 42167621665 48006215434 52180668950 54267895708 64873264100 67834869635 84335243330 96012430868 104361337900 120015538585 135669739270 168670486660 210838108325 240031077170 271339478540 312040400321 339174348175 421676216650 480062154340 600077692925 624080800642 678348696350 843352433300 1200155385850 1248161601284 1356697392700 1560202001605 2400310771700 3120404003210 6240808006420 7801010008025 15602020016050 31204040032100