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130310212223232 = 283318852750611
BaseRepresentation
bin11101101000010000110101…
…111010010000000100000000
3122002101112102202001000012000
4131220100311322100010000
5114040000303312120412
61141051403550304000
736306413352122526
oct3550206572200400
9562345382030160
10130310212223232
113858028368aa38
1212746baa4b8000
13579327b048022
142427095708316
15100ea035864dc
hex768435e90100

130310212223232 has 72 divisors (see below), whose sum is σ = 385350222509280. Its totient is φ = 43436737405440.

The previous prime is 130310212223201. The next prime is 130310212223293. The reversal of 130310212223232 is 232322212013031.

130310212223232 is a `hidden beast` number, since 1 + 3 + 0 + 310 + 2 + 1 + 2 + 22 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 130310212223196 and 130310212223205.

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 7 ways as a sum of consecutive naturals, for example, 9426368394 + ... + 9426382217.

It is an arithmetic number, because the mean of its divisors is an integer number (5352086423740).

Almost surely, 2130310212223232 is an apocalyptic number.

130310212223232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130310212223232 is an abundant number, since it is smaller than the sum of its proper divisors (255040010286048).

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

130310212223232 is an equidigital number, since it uses as much as digits as its factorization.

130310212223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18852750636 (or 18852750616 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 130310212223232 its reverse (232322212013031), we get a palindrome (362632424236263).

The spelling of 130310212223232 in words is "one hundred thirty trillion, three hundred ten billion, two hundred twelve million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 18852750611 37705501222 56558251833 75411002444 113116503666 150822004888 169674755499 226233007332 301644009776 339349510998 452466014664 509024266497 603288019552 678699021996 904932029328 1018048532994 1206576039104 1357398043992 1809864058656 2036097065988 2413152078208 2714796087984 3619728117312 4072194131976 4826304156416 5429592175968 7239456234624 8144388263952 10859184351936 14478912469248 16288776527904 21718368703872 32577553055808 43436737407744 65155106111616 130310212223232