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132233333120 = 2757171736257
BaseRepresentation
bin111101100100110111…
…0001000100110000000
3110122022120100022201022
41323021232020212000
54131303213124440
6140425215125012
712360602533430
oct1731156104600
9418276308638
10132233333120
11510972a6389
1221764813768
13c6147a7315
146585d422c0
15368de66cb5
hex1ec9b88980

132233333120 has 128 divisors (see below), whose sum is σ = 382532362560. Its totient is φ = 42670227456.

The previous prime is 132233333117. The next prime is 132233333129. The reversal of 132233333120 is 21333332231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 132233333120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132233333129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791969 + ... + 944288.

Almost surely, 2132233333120 is an apocalyptic number.

132233333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132233333120 is an abundant number, since it is smaller than the sum of its proper divisors (250299029440).

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

132233333120 is a wasteful number, since it uses less digits than its factorization.

132233333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736300 (or 1736288 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 132233333120 its reverse (21333332231), we get a palindrome (153566665351).

The spelling of 132233333120 in words is "one hundred thirty-two billion, two hundred thirty-three million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1360 1904 2176 2240 2380 2720 3808 4480 4760 5440 7616 9520 10880 15232 19040 38080 76160 1736257 3472514 6945028 8681285 12153799 13890056 17362570 24307598 27780112 29516369 34725140 48615196 55560224 59032738 60768995 69450280 97230392 111120448 118065476 121537990 138900560 147581845 194460784 206614583 222240896 236130952 243075980 277801120 295163690 388921568 413229166 472261904 486151960 555602240 590327380 777843136 826458332 944523808 972303920 1033072915 1111204480 1180654760 1555686272 1652916664 1889047616 1944607840 2066145830 2361309520 3305833328 3778095232 3889215680 4132291660 4722619040 6611666656 7778431360 8264583320 9445238080 13223333312 16529166640 18890476160 26446666624 33058333280 66116666560 132233333120