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31682199120 = 24351113923141
BaseRepresentation
bin11101100000011001…
…111111111001010000
310000202222122110202020
4131200121333321100
51004341120332440
622315443251440
72201054151315
oct354031777120
9100688573666
1031682199120
1112488859140
126182379b80
132caba4b1b0
141767a18d0c
15c566633d0
hex76067fe50

31682199120 has 160 divisors (see below), whose sum is σ = 115385364864. Its totient is φ = 7089715200.

The previous prime is 31682199077. The next prime is 31682199139. The reversal of 31682199120 is 2199128613.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427251 + ... + 495890.

Almost surely, 231682199120 is an apocalyptic number.

31682199120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31682199120 is an abundant number, since it is smaller than the sum of its proper divisors (83703165744).

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

31682199120 is a wasteful number, since it uses less digits than its factorization.

31682199120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923181 (or 923175 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 31682199120 in words is "thirty-one billion, six hundred eighty-two million, one hundred ninety-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 34320 923141 1846282 2769423 3692564 4615705 5538846 7385128 9231410 10154551 11077692 12000833 13847115 14770256 18462820 20309102 22155384 24001666 27694230 30463653 36002499 36925640 40618204 44310768 48003332 50772755 55388460 60004165 60927306 72004998 73851280 81236408 96006664 101545510 110776920 120008330 121854612 132009163 144009996 152318265 162472816 180012495 192013328 203091020 221553840 240016660 243709224 264018326 288019992 304636530 360024990 396027489 406182040 480033320 487418448 528036652 576039984 609273060 660045815 720049980 792054978 812364080 960066640 1056073304 1218546120 1320091630 1440099960 1584109956 1980137445 2112146608 2437092240 2640183260 2880199920 3168219912 3960274890 5280366520 6336439824 7920549780 10560733040 15841099560 31682199120