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123301011320320 = 295411174742867
BaseRepresentation
bin11100000010010001000000…
…111110101110111000000000
3121011120110110110221201210211
4130002101000332232320000
5112130130432344222240
61114123411433403504
734654130001353431
oct3402210076567000
9534513413851724
10123301011320320
11363187354920a9
12119b468b269594
1353a530a45a162
142263b2d521488
15e3c520223bea
hex702440faee00

123301011320320 has 80 divisors (see below), whose sum is σ = 302844012398928. Its totient is φ = 48117467791360.

The previous prime is 123301011320303. The next prime is 123301011320359. The reversal of 123301011320320 is 23023110103321.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1233010113203202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123301011320291 and 123301011320300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587266474 + ... + 587476393.

Almost surely, 2123301011320320 is an apocalyptic number.

123301011320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123301011320320 is an abundant number, since it is smaller than the sum of its proper divisors (179543001078608).

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

123301011320320 is an equidigital number, since it uses as much as digits as its factorization.

123301011320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174742931 (or 1174742915 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123301011320320 its reverse (23023110103321), we get a palindrome (146324121423641).

The spelling of 123301011320320 in words is "one hundred twenty-three trillion, three hundred one billion, eleven million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1280 1312 1640 2560 2624 3280 5248 6560 10496 13120 20992 26240 52480 104960 1174742867 2349485734 4698971468 5873714335 9397942936 11747428670 18795885872 23494857340 37591771744 46989714680 48164457547 75183543488 93979429360 96328915094 150367086976 187958858720 192657830188 240822287735 300734173952 375917717440 385315660376 481644575470 601468347904 751835434880 770631320752 963289150940 1503670869760 1541262641504 1926578301880 3007341739520 3082525283008 3853156603760 6165050566016 7706313207520 12330101132032 15412626415040 24660202264064 30825252830080 61650505660160 123301011320320