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231013013220 = 2232511301138749
BaseRepresentation
bin1101011100100101110…
…0101101011011100100
3211002021200201222202200
43113021130231123210
512241103312410340
6254043110334500
722455501133113
oct3271134553344
9732250658680
10231013013220
1189a76907040
123893195a430
1318a27529682
14b276ca3c7a
156020ea0330
hex35c972d6e4

231013013220 has 144 divisors (see below), whose sum is σ = 764716680000. Its totient is φ = 55983110400.

The previous prime is 231013013177. The next prime is 231013013239. The reversal of 231013013220 is 22310310132.

231013013220 is a `hidden beast` number, since 2 + 310 + 1 + 30 + 1 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231013013193 and 231013013202.

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, 5942406 + ... + 5981154.

It is an arithmetic number, because the mean of its divisors is an integer number (5310532500).

Almost surely, 2231013013220 is an apocalyptic number.

231013013220 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 231013013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382358340000).

231013013220 is an abundant number, since it is smaller than the sum of its proper divisors (533703666780).

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

231013013220 is a wasteful number, since it uses less digits than its factorization.

231013013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41786 (or 41781 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231013013220 its reverse (22310310132), we get a palindrome (253323323352).

The spelling of 231013013220 in words is "two hundred thirty-one billion, thirteen million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3011 6022 9033 12044 15055 18066 27099 30110 33121 36132 38749 45165 54198 60220 66242 77498 90330 99363 108396 116247 132484 135495 154996 165605 180660 193745 198726 232494 270990 298089 331210 348741 387490 397452 426239 464988 496815 541980 581235 596178 662420 697482 774980 852478 993630 1162470 1192356 1278717 1394964 1490445 1704956 1743705 1987260 2131195 2324940 2557434 2980890 3487410 3836151 4262390 5114868 5961780 6393585 6974820 7672302 8524780 12787170 15344604 19180755 25574340 38361510 76723020 116673239 233346478 350019717 466692956 583366195 700039434 1050059151 1166732390 1283405629 1400078868 1750098585 2100118302 2333464780 2566811258 3500197170 3850216887 4200236604 5133622516 5250295755 6417028145 7000394340 7700433774 10500591510 11550650661 12834056290 15400867548 19251084435 21001183020 23101301322 25668112580 38502168870 46202602644 57753253305 77004337740 115506506610 231013013220