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132000321102 = 231337591814283
BaseRepresentation
bin111101011101111010…
…1010000111001001110
3110121201022220002022120
41322323311100321032
54130314040233402
6140350132553410
712352043134206
oct1727365207116
9417638802276
10132000321102
1150a87815a71
12216ba782866
13c5a84320a0
146563009406
15367878b3bc
hex1ebbd50e4e

132000321102 has 128 divisors (see below), whose sum is σ = 298651691520. Its totient is φ = 38624325120.

The previous prime is 132000321059. The next prime is 132000321113. The reversal of 132000321102 is 201123000231.

It is a super-2 number, since 2×1320003211022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30817453 + ... + 30821735.

It is an arithmetic number, because the mean of its divisors is an integer number (2333216340).

Almost surely, 2132000321102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132000321102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149325845760).

132000321102 is an abundant number, since it is smaller than the sum of its proper divisors (166651370418).

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

132000321102 is a wasteful number, since it uses less digits than its factorization.

132000321102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4578.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132000321102 its reverse (201123000231), we get a palindrome (333123321333).

The spelling of 132000321102 in words is "one hundred thirty-two billion, three hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 13 26 37 39 59 74 78 111 118 177 181 222 354 362 481 543 767 962 1086 1443 1534 2183 2301 2353 2886 4283 4366 4602 4706 6549 6697 7059 8566 10679 12849 13098 13394 14118 20091 21358 25698 28379 32037 40182 55679 56758 64074 85137 87061 111358 138827 158471 167037 170274 174122 252697 261183 277654 316942 334074 395123 416481 475413 505394 522366 758091 775223 790246 832962 950826 1185369 1516182 1550446 2060123 2325669 2370738 3285061 4120246 4651338 5136599 6180369 6570122 9349789 9855183 10077899 10273198 12360738 15409797 18699578 19710366 20155798 28049367 28683251 30233697 30819594 45738157 56098734 57366502 60467394 86049753 91476314 121547257 137214471 172099506 243094514 274428942 364641771 372882263 594596041 729283542 745764526 1118646789 1189192082 1692311809 1783788123 2237293578 3384623618 3567576246 5076935427 10153870854 22000053517 44000107034 66000160551 132000321102