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132022322010 = 2345229711749
BaseRepresentation
bin111101011110100100…
…1001100001101011010
3110121202212021211220000
41322331021030031122
54130340203301020
6140352240313430
712352431135615
oct1727511141532
9417685254800
10132022322010
1150a99182637
1221706012876
13c5acb66187
146565cd517c
15367a685090
hex1ebd24c35a

132022322010 has 80 divisors (see below), whose sum is σ = 356544045000. Its totient is φ = 35052165504.

The previous prime is 132022321979. The next prime is 132022322041. The reversal of 132022322010 is 10223220231.

132022322010 is a `hidden beast` number, since 1 + 320 + 22 + 322 + 0 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132022321979) and next prime (132022322041).

It can be written as a sum of positive squares in 4 ways, for example, as 131335934409 + 686387601 = 362403^2 + 26199^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170385 + ... + 541364.

Almost surely, 2132022322010 is an apocalyptic number.

132022322010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132022322010 is an abundant number, since it is smaller than the sum of its proper divisors (224521722990).

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

132022322010 is a wasteful number, since it uses less digits than its factorization.

132022322010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711997 (or 711988 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132022322010 its reverse (10223220231), we get a palindrome (142245542241).

The spelling of 132022322010 in words is "one hundred thirty-two billion, twenty-two million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 229 270 405 458 687 810 1145 1374 2061 2290 3435 4122 6183 6870 10305 12366 18549 20610 30915 37098 61830 92745 185490 711749 1423498 2135247 3558745 4270494 6405741 7117490 10676235 12811482 19217223 21352470 32028705 38434446 57651669 64057410 96086115 115303338 162990521 192172230 288258345 325981042 488971563 576516690 814952605 977943126 1466914689 1629905210 2444857815 2933829378 4400744067 4889715630 7334573445 8801488134 13202232201 14669146890 22003720335 26404464402 44007440670 66011161005 132022322010