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132123103243040 = 2557139074388959
BaseRepresentation
bin11110000010101001001110…
…101000101010101100100000
3122022210211211020022211101202
4132002221032220222230200
5114304201103412234130
61145000303220420332
736554402444414660
oct3602511650525440
9568724736284352
10132123103243040
113910a10337a5a8
121299a413b476a8
135895202bc5ab0
14248ab141941a0
151041c59bb6145
hex782a4ea2ab20

132123103243040 has 96 divisors (see below), whose sum is σ = 384173331010560. Its totient is φ = 41814784318464.

The previous prime is 132123103243003. The next prime is 132123103243049. The reversal of 132123103243040 is 40342301321231.

It is a junction number, because it is equal to n+sod(n) for n = 132123103242994 and 132123103243012.

It is not an unprimeable number, because it can be changed into a prime (132123103243049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4537179920 + ... + 4537209039.

It is an arithmetic number, because the mean of its divisors is an integer number (4001805531360).

Almost surely, 2132123103243040 is an apocalyptic number.

132123103243040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132123103243040 is an abundant number, since it is smaller than the sum of its proper divisors (252050227767520).

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

132123103243040 is a wasteful number, since it uses less digits than its factorization.

132123103243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9074388994 (or 9074388986 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 132123103243040 its reverse (40342301321231), we get a palindrome (172465404564271).

The spelling of 132123103243040 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, one hundred three million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 9074388959 18148777918 36297555836 45371944795 63520722713 72595111672 90743889590 117967056467 127041445426 145190223344 181487779180 235934112934 254082890852 290380446688 317603613565 362975558360 471868225868 508165781704 589835282335 635207227130 725951116720 825769395269 943736451736 1016331563408 1179670564670 1270414454260 1451902233440 1651538790538 1887472903472 2032663126816 2359341129340 2540828908520 3303077581076 3774945806944 4128846976345 4718682258680 5081657817040 6606155162152 8257693952690 9437364517360 10163315634080 13212310324304 16515387905380 18874729034720 26424620648608 33030775810760 66061551621520 132123103243040