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1210302302112 = 2532193154914057
BaseRepresentation
bin10001100111001011101…
…000111000011110100000
311021201000001022021122100
4101213023220320132200
5124312144342131422
62324001042410400
7153304263553161
oct21471350703640
94251001267570
101210302302112
11427317108162
12176693960a00
138a191acaa67
144281689d768
15217393ae7ac
hex119cba387a0

1210302302112 has 144 divisors (see below), whose sum is σ = 3462110051400. Its totient is φ = 401056137216.

The previous prime is 1210302302057. The next prime is 1210302302123. The reversal of 1210302302112 is 2112032030121.

1210302302112 is a `hidden beast` number, since 121 + 0 + 302 + 30 + 211 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 451793688336 + 758508613776 = 672156^2 + 870924^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86092588 + ... + 86106644.

Almost surely, 21210302302112 is an apocalyptic number.

1210302302112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210302302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731055025700).

1210302302112 is an abundant number, since it is smaller than the sum of its proper divisors (2251807749288).

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

1210302302112 is a wasteful number, since it uses less digits than its factorization.

1210302302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15815 (or 15804 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1210302302112 its reverse (2112032030121), we get a palindrome (3322334332233).

The spelling of 1210302302112 in words is "one trillion, two hundred ten billion, three hundred two million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 193 288 386 579 772 1158 1544 1549 1737 2316 3088 3098 3474 4632 4647 6176 6196 6948 9264 9294 12392 13896 13941 14057 18528 18588 24784 27792 27882 28114 37176 42171 49568 55584 55764 56228 74352 84342 111528 112456 126513 148704 168684 223056 224912 253026 298957 337368 446112 449824 506052 597914 674736 896871 1012104 1195828 1349472 1793742 2024208 2391656 2690613 2713001 3587484 4048416 4783312 5381226 5426002 7174968 8139003 9566624 10762452 10852004 14349936 16278006 21524904 21704008 21774293 24417009 28699872 32556012 43049808 43408016 43548586 48834018 65112024 65322879 86099616 86816032 87097172 97668036 130224048 130645758 174194344 195336072 195968637 260448096 261291516 348388688 390672144 391937274 522583032 696777376 781344288 783874548 1045166064 1567749096 2090332128 3135498192 4202438549 6270996384 8404877098 12607315647 16809754196 25214631294 33619508392 37821946941 50429262588 67239016784 75643893882 100858525176 134478033568 151287787764 201717050352 302575575528 403434100704 605151151056 1210302302112