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132331131000 = 2333534901153
BaseRepresentation
bin111101100111110001…
…1001101000001111000
3110122120101100222012000
41323033203031001320
54132003232143000
6140443031221000
712363201024435
oct1731743150170
9418511328160
10132331131000
1151137523382
1221791517760
13c62bb296a3
146594d1cb8c
153697834000
hex1ecf8cd078

132331131000 has 128 divisors (see below), whose sum is σ = 458748014400. Its totient is φ = 35288294400.

The previous prime is 132331130891. The next prime is 132331131041. The reversal of 132331131000 is 131133231.

It is a happy number.

132331131000 is a `hidden beast` number, since 1 + 323 + 31 + 1 + 310 + 0 + 0 = 666.

It is a super-3 number, since 3×1323311310003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 2423577 + ... + 2477576.

Almost surely, 2132331131000 is an apocalyptic number.

132331131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132331131000 is an abundant number, since it is smaller than the sum of its proper divisors (326416883400).

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

132331131000 is a wasteful number, since it uses less digits than its factorization.

132331131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901183 (or 4901163 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 132331131000 its reverse (131133231), we get a palindrome (132462264231).

The spelling of 132331131000 in words is "one hundred thirty-two billion, three hundred thirty-one million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 4901153 9802306 14703459 19604612 24505765 29406918 39209224 44110377 49011530 58813836 73517295 88220754 98023060 117627672 122528825 132331131 147034590 176441508 196046120 220551885 245057650 264662262 294069180 352883016 367586475 441103770 490115300 529324524 588138360 612644125 661655655 735172950 882207540 980230600 1058649048 1102759425 1225288250 1323311310 1470345900 1764415080 1837932375 2205518850 2450576500 2646622620 2940691800 3308278275 3675864750 4411037700 4901153000 5293245240 5513797125 6616556550 7351729500 8822075400 11027594250 13233113100 14703459000 16541391375 22055188500 26466226200 33082782750 44110377000 66165565500 132331131000