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132221023000 = 23531141293173
BaseRepresentation
bin111101100100011111…
…1001011001100011000
3110122021201011220101221
41323020333023030120
54131242040214000
6140424055221424
712360363103033
oct1731077131430
9418251156357
10132221023000
1151090358630
1221760677874
13c612087121
14658445a01a
15368cd3461a
hex1ec8fcb318

132221023000 has 128 divisors (see below), whose sum is σ = 345757688640. Its totient is φ = 46907520000.

The previous prime is 132221022953. The next prime is 132221023019. The reversal of 132221023000 is 320122231.

It is a congruent number.

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, 304414 + ... + 597586.

Almost surely, 2132221023000 is an apocalyptic number.

132221023000 is a gapful number since it is divisible by the number (10) 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 132221023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172878844320).

132221023000 is an abundant number, since it is smaller than the sum of its proper divisors (213536665640).

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

132221023000 is a wasteful number, since it uses less digits than its factorization.

132221023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293246 (or 293232 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 132221023000 its reverse (320122231), we get a palindrome (132541145231).

The spelling of 132221023000 in words is "one hundred thirty-two billion, two hundred twenty-one million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 125 164 200 205 220 250 275 328 410 440 451 500 550 820 902 1000 1025 1100 1375 1640 1804 2050 2200 2255 2750 3608 4100 4510 5125 5500 8200 9020 10250 11000 11275 18040 20500 22550 41000 45100 56375 90200 112750 225500 293173 451000 586346 1172692 1465865 2345384 2931730 3224903 5863460 6449806 7329325 11726920 12020093 12899612 14658650 16124515 24040186 25799224 29317300 32249030 36646625 48080372 58634600 60100465 64498060 73293250 80622575 96160744 120200930 128996120 132221023 146586500 161245150 240401860 264442046 293173000 300502325 322490300 403112875 480803720 528884092 601004650 644980600 661105115 806225750 1057768184 1202009300 1322210230 1502511625 1612451500 2404018600 2644420460 3005023250 3224903000 3305525575 5288840920 6010046500 6611051150 12020093000 13222102300 16527627875 26444204600 33055255750 66110511500 132221023000