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1332148412331 = 321124188733637
BaseRepresentation
bin10011011000101010001…
…110111001111110101011
311201100111201021000021100
4103120222032321332223
5133311214443143311
62455551443412443
7165146610450132
oct23305216717653
94640451230240
101332148412331
11473a63060200
12196219984123
139880c5cac29
1448695082919
15249bb47aa56
hex1362a3b9fab

1332148412331 has 72 divisors (see below), whose sum is σ = 2169139164192. Its totient is φ = 786759494400.

The previous prime is 1332148412317. The next prime is 1332148412363.

1332148412331 is a `hidden beast` number, since 1 + 3 + 3 + 21 + 484 + 123 + 31 = 666.

1332148412331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1332148412331 - 26 = 1332148412267 is a prime.

It is a super-2 number, since 2×13321484123312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1332148412311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39586845 + ... + 39620481.

It is an arithmetic number, because the mean of its divisors is an integer number (30126932836).

Almost surely, 21332148412331 is an apocalyptic number.

1332148412331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1332148412331 is a deficient number, since it is larger than the sum of its proper divisors (836990751861).

1332148412331 is a wasteful number, since it uses less digits than its factorization.

1332148412331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34593 (or 34579 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 1332148412331 in words is "one trillion, three hundred thirty-two billion, one hundred forty-eight million, four hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 41 99 121 123 363 369 451 887 1089 1353 2661 4059 4961 7983 9757 14883 29271 33637 36367 44649 87813 100911 107327 109101 302733 321981 327303 370007 400037 965943 1110021 1200111 1379117 3330063 3600333 4070077 4137351 4400407 12210231 12412053 13201221 15170287 29836019 36630693 39603663 45510861 89508057 136532583 166873157 268524171 328196209 500619471 984588627 1223276779 1501858413 2953765881 3610158299 3669830337 10830474897 11009491011 13456044569 32491424691 40368133707 121104401121 148016490259 444049470777 1332148412331