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1321152310016 = 2871167022743
BaseRepresentation
bin10011001110011010110…
…100000110101100000000
311200022010101011010122122
4103032122310012230000
5133121204442410031
62450532355023412
7164310246226610
oct23163264065400
94608111133578
101321152310016
1146a330044840
1219406b29ab68
1397779439706
1447d30908a40
1524575e0b47b
hex1339ad06b00

1321152310016 has 72 divisors (see below), whose sum is σ = 3287867729664. Its totient is φ = 514734658560.

The previous prime is 1321152310001. The next prime is 1321152310063. The reversal of 1321152310016 is 6100132511231.

It is a super-3 number, since 3×13211523100163 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 33491660 + ... + 33531083.

Almost surely, 21321152310016 is an apocalyptic number.

1321152310016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1321152310016 is an abundant number, since it is smaller than the sum of its proper divisors (1966715419648).

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

1321152310016 is an equidigital number, since it uses as much as digits as its factorization.

1321152310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67022777 (or 67022763 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 1321152310016 its reverse (6100132511231), we get a palindrome (7421284821247).

The spelling of 1321152310016 in words is "one trillion, three hundred twenty-one billion, one hundred fifty-two million, three hundred ten thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 9856 19712 67022743 134045486 268090972 469159201 536181944 737250173 938318402 1072363888 1474500346 1876636804 2144727776 2949000692 3753273608 4289455552 5160751211 5898001384 7506547216 8578911104 10321502422 11796002768 15013094432 17157822208 20643004844 23592005536 30026188864 41286009688 47184011072 60052377728 82572019376 94368022144 120104755456 165144038752 188736044288 330288077504 660576155008 1321152310016