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132133222320 = 243511411220743
BaseRepresentation
bin111101100001111000…
…0001111011110110000
3110122001120222011111220
41323003300033132300
54131102101103240
6140411241305040
712355245600261
oct1730360173660
9418046864456
10132133222320
1151045839690
1221737195180
13c5c9b25268
146576922968
15368528e5d0
hex1ec3c0f7b0

132133222320 has 160 divisors (see below), whose sum is σ = 457749702144. Its totient is φ = 31250995200.

The previous prime is 132133222303. The next prime is 132133222541. The reversal of 132133222320 is 23222331231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 502132 + ... + 718611.

Almost surely, 2132133222320 is an apocalyptic number.

132133222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132133222320 is an abundant number, since it is smaller than the sum of its proper divisors (325616479824).

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

132133222320 is a wasteful number, since it uses less digits than its factorization.

132133222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220811 (or 1220805 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132133222320 its reverse (23222331231), we get a palindrome (155355553551).

It can be divided in two parts, 132133 and 222320, that added together give a palindrome (354453).

The spelling of 132133222320 in words is "one hundred thirty-two billion, one hundred thirty-three million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 41 44 48 55 60 66 80 82 88 110 120 123 132 164 165 176 205 220 240 246 264 328 330 410 440 451 492 528 615 656 660 820 880 902 984 1230 1320 1353 1640 1804 1968 2255 2460 2640 2706 3280 3608 4510 4920 5412 6765 7216 9020 9840 10824 13530 18040 21648 27060 36080 54120 108240 1220743 2441486 3662229 4882972 6103715 7324458 9765944 12207430 13428173 14648916 18311145 19531888 24414860 26856346 29297832 36622290 40284519 48829720 50050463 53712692 58595664 67140865 73244580 80569038 97659440 100100926 107425384 134281730 146489160 150151389 161138076 200201852 201422595 214850768 250252315 268563460 292978320 300302778 322276152 400403704 402845190 500504630 537126920 550555093 600605556 644552304 750756945 800807408 805690380 1001009260 1074253840 1101110186 1201211112 1501513890 1611380760 1651665279 2002018520 2202220372 2402422224 2752775465 3003027780 3222761520 3303330558 4004037040 4404440744 5505550930 6006055560 6606661116 8258326395 8808881488 11011101860 12012111120 13213322232 16516652790 22022203720 26426644464 33033305580 44044407440 66066611160 132133222320