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132200221230 = 23357116358837
BaseRepresentation
bin111101100011110111…
…1110100101000101110
3110122020021001001202000
41323013233310220232
54131221224034410
6140422033313130
712360021224340
oct1730757645056
9418207031660
10132200221230
115107a63a990
12217557057a6
13c60a982a9c
1465817a3290
15368b0c5dc0
hex1ec7bf4a2e

132200221230 has 128 divisors (see below), whose sum is σ = 439522882560. Its totient is φ = 27470171520.

The previous prime is 132200221211. The next prime is 132200221249. The reversal of 132200221230 is 32122002231.

132200221230 is a `hidden beast` number, since 13 + 2 + 200 + 221 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (132200221211) and next prime (132200221249).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3158629 + ... + 3200208.

It is an arithmetic number, because the mean of its divisors is an integer number (3433772520).

Almost surely, 2132200221230 is an apocalyptic number.

132200221230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132200221230 is an abundant number, since it is smaller than the sum of its proper divisors (307322661330).

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

132200221230 is a wasteful number, since it uses less digits than its factorization.

132200221230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358871 (or 6358865 counting only the distinct ones).

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

Adding to 132200221230 its reverse (32122002231), we get a palindrome (164322223461).

The spelling of 132200221230 in words is "one hundred thirty-two billion, two hundred million, two hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 27 30 33 35 42 45 54 55 63 66 70 77 90 99 105 110 126 135 154 165 189 198 210 231 270 297 315 330 378 385 462 495 594 630 693 770 945 990 1155 1386 1485 1890 2079 2310 2970 3465 4158 6930 10395 20790 6358837 12717674 19076511 31794185 38153022 44511859 57229533 63588370 69947207 89023718 95382555 114459066 133535577 139894414 171688599 190765110 209841621 222559295 267071154 286147665 343377198 349736035 400606731 419683242 445118590 489630449 572295330 629524863 667677885 699472070 801213462 858442995 979260898 1049208105 1201820193 1259049726 1335355770 1468891347 1716885990 1888574589 2003033655 2098416210 2403640386 2448152245 2937782694 3147624315 3777149178 4006067310 4406674041 4896304490 6009100965 6295248630 7344456735 8813348082 9442872945 12018201930 13220022123 14688913470 18885745890 22033370205 26440044246 44066740410 66100110615 132200221230