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130210742716128 = 25321259359110909
BaseRepresentation
bin11101100110110100001101…
…000100001100011011100000
3122002001000200112121111101100
4131212310031010030123200
5114031333100113404003
61140533553413434400
736266262406221534
oct3546641504143340
9562030615544340
10130210742716128
113854207a749018
121272b86a33ba00
135786a88408b09
14242233acd9bc4
15100c130bd9ba3
hex766d0d10c6e0

130210742716128 has 72 divisors (see below), whose sum is σ = 370580912465400. Its totient is φ = 43369106137344.

The previous prime is 130210742716097. The next prime is 130210742716169. The reversal of 130210742716128 is 821617247012031.

It is a happy number.

130210742716128 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 1 + 0 + 7 + 4 + 27 + 1 + 612 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179192863 + ... + 179918046.

It is an arithmetic number, because the mean of its divisors is an integer number (5146957117575).

Almost surely, 2130210742716128 is an apocalyptic number.

130210742716128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130210742716128 is an abundant number, since it is smaller than the sum of its proper divisors (240370169749272).

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

130210742716128 is a wasteful number, since it uses less digits than its factorization.

130210742716128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359112184 (or 359112173 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

Adding to 130210742716128 its reverse (821617247012031), we get a palindrome (951827989728159).

The spelling of 130210742716128 in words is "one hundred thirty trillion, two hundred ten billion, seven hundred forty-two million, seven hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1259 2518 3777 5036 7554 10072 11331 15108 20144 22662 30216 40288 45324 60432 90648 120864 181296 362592 359110909 718221818 1077332727 1436443636 2154665454 2872887272 3231998181 4309330908 5745774544 6463996362 8618661816 11491549088 12927992724 17237323632 25855985448 34474647264 51711970896 103423941792 452120634431 904241268862 1356361903293 1808482537724 2712723806586 3616965075448 4069085709879 5425447613172 7233930150896 8138171419758 10850895226344 14467860301792 16276342839516 21701790452688 32552685679032 43403580905376 65105371358064 130210742716128