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123310133322320 = 2457376335851159
BaseRepresentation
bin11100000010011001100000…
…101100011010001001010000
3121011121100000012121110002202
4130002121200230122021100
5112130303123112303240
61114131520533502332
734654602025164440
oct3402314054321120
9534540005543082
10123310133322320
113632159663222a
12119b63b61a19a8
1353a6132285689
142264356c14120
15e3c8a5e9e315
hex702660b1a250

123310133322320 has 80 divisors (see below), whose sum is σ = 327661402494720. Its totient is φ = 42276629348352.

The previous prime is 123310133322263. The next prime is 123310133322367. The reversal of 123310133322320 is 23223331013321.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18148901 + ... + 24000059.

It is an arithmetic number, because the mean of its divisors is an integer number (4095767531184).

Almost surely, 2123310133322320 is an apocalyptic number.

123310133322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123310133322320 is an abundant number, since it is smaller than the sum of its proper divisors (204351269172400).

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

123310133322320 is a wasteful number, since it uses less digits than its factorization.

123310133322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888812 (or 5888806 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 123310133322320 its reverse (23223331013321), we get a palindrome (146533464335641).

The spelling of 123310133322320 in words is "one hundred twenty-three trillion, three hundred ten billion, one hundred thirty-three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 37633 75266 150532 188165 263431 301064 376330 526862 602128 752660 1053724 1317155 1505320 2107448 2634310 3010640 4214896 5268620 5851159 10537240 11702318 21074480 23404636 29255795 40958113 46809272 58511590 81916226 93618544 117023180 163832452 204790565 234046360 327664904 409581130 468092720 655329808 819162260 1638324520 3276649040 220196666647 440393333294 880786666588 1100983333235 1541376666529 1761573333176 2201966666470 3082753333058 3523146666352 4403933332940 6165506666116 7706883332645 8807866665880 12331013332232 15413766665290 17615733331760 24662026664464 30827533330580 61655066661160 123310133322320