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132242101320 = 23357233967307
BaseRepresentation
bin111101100101000111…
…1100101010001001000
3110122100011211210102110
41323022033211101020
54131312434220240
6140430131102320
712361040212620
oct1731217452110
9418304753373
10132242101320
11510a124502a
12217677419a0
13c6165572c4
146587185880
15368eae9c80
hex1eca3e5448

132242101320 has 128 divisors (see below), whose sum is σ = 453602073600. Its totient is φ = 30213394176.

The previous prime is 132242101279. The next prime is 132242101337. The reversal of 132242101320 is 23101242231.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1931107 + ... + 1998413.

It is an arithmetic number, because the mean of its divisors is an integer number (3543766200).

Almost surely, 2132242101320 is an apocalyptic number.

132242101320 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 132242101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226801036800).

132242101320 is an abundant number, since it is smaller than the sum of its proper divisors (321359972280).

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

132242101320 is a wasteful number, since it uses less digits than its factorization.

132242101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69667 (or 69663 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132242101320 its reverse (23101242231), we get a palindrome (155343343551).

The spelling of 132242101320 in words is "one hundred thirty-two billion, two hundred forty-two million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2339 4678 7017 9356 11695 14034 16373 18712 23390 28068 32746 35085 46780 49119 56136 65492 67307 70170 81865 93560 98238 130984 134614 140340 163730 196476 201921 245595 269228 280680 327460 336535 392952 403842 471149 491190 538456 654920 673070 807684 942298 982380 1009605 1346140 1413447 1615368 1884596 1964760 2019210 2355745 2692280 2826894 3769192 4038420 4711490 5653788 7067235 8076840 9422980 11307576 14134470 18845960 28268940 56537880 157431073 314862146 472293219 629724292 787155365 944586438 1102017511 1259448584 1574310730 1889172876 2204035022 2361466095 3148621460 3306052533 3778345752 4408070044 4722932190 5510087555 6297242920 6612105066 8816140088 9445864380 11020175110 13224210132 16530262665 18891728760 22040350220 26448420264 33060525330 44080700440 66121050660 132242101320