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132023312221240 = 235116192801173059
BaseRepresentation
bin11110000001001100010010…
…101000001000010000111000
3122022110022020121220200100101
4132001030102220020100320
5114301032220412034430
61144442401120445144
736544240515626236
oct3601142250102070
9568408217820311
10132023312221240
11390808549a9960
12129830041797b4
13588898b7950bb
142485d68bb1956
15103e368eaadca
hex781312a08438

132023312221240 has 128 divisors (see below), whose sum is σ = 324698494752000. Its totient is φ = 47913530112000.

The previous prime is 132023312221169. The next prime is 132023312221247. The reversal of 132023312221240 is 42122213320231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132023312221199 and 132023312221208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132023312221247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762793831 + ... + 762966889.

It is an arithmetic number, because the mean of its divisors is an integer number (2536706990250).

Almost surely, 2132023312221240 is an apocalyptic number.

132023312221240 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 132023312221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162349247376000).

132023312221240 is an abundant number, since it is smaller than the sum of its proper divisors (192675182530760).

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

132023312221240 is a wasteful number, since it uses less digits than its factorization.

132023312221240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176501 (or 176497 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132023312221240 its reverse (42122213320231), we get a palindrome (174145525541471).

The spelling of 132023312221240 in words is "one hundred thirty-two trillion, twenty-three billion, three hundred twelve million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 619 1238 2476 2801 3095 4952 5602 6190 6809 11204 12380 13618 14005 22408 24760 27236 28010 30811 34045 54472 56020 61622 68090 112040 123244 136180 154055 173059 246488 272360 308110 346118 616220 692236 865295 1232440 1384472 1730590 1733819 1903649 3461180 3467638 3807298 6922360 6935276 7614596 8669095 9518245 13870552 15229192 17338190 19036490 19072009 34676380 38072980 38144018 69352760 76145960 76288036 95360045 107123521 152576072 190720090 214247042 381440180 428494084 484738259 535617605 762880360 856988168 969476518 1071235210 1178358731 1938953036 2142470420 2356717462 2423691295 3877906072 4284940840 4713434924 4847382590 5332120849 5891793655 9426869848 9694765180 10664241698 11783587310 19389530360 21328483396 23567174620 26660604245 42656966792 47134349240 53321208490 106642416980 213284833960 300052982321 600105964642 1200211929284 1500264911605 2400423858568 3000529823210 3300582805531 6001059646420 6601165611062 12002119292840 13202331222124 16502914027655 26404662444248 33005828055310 66011656110620 132023312221240