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131212444323312 = 243211101820159793
BaseRepresentation
bin11101110101011001000111…
…001000100100110111110000
3122012120210020211220112002200
4131311121013020210313300
5114144241041221321222
61143022055331343200
736431533455335502
oct3565310710446760
9565523224815080
10131212444323312
1138898981134640
1212871a26151b00
13582a3850945c1
142458a05325d72
15102820ba20eac
hex775647224df0

131212444323312 has 120 divisors (see below), whose sum is σ = 404561861905968. Its totient is φ = 39367670016000.

The previous prime is 131212444323223. The next prime is 131212444323319. The reversal of 131212444323312 is 213323444212131.

131212444323312 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 12 + 4 + 4 + 4 + 323 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212444323319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409919913 + ... + 410239880.

Almost surely, 2131212444323312 is an apocalyptic number.

131212444323312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131212444323312 is an abundant number, since it is smaller than the sum of its proper divisors (273349417582656).

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

131212444323312 is a wasteful number, since it uses less digits than its factorization.

131212444323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820159919 (or 820159910 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 131212444323312 its reverse (213323444212131), we get a palindrome (344535888535443).

The spelling of 131212444323312 in words is "one hundred thirty-one trillion, two hundred twelve billion, four hundred forty-four million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 101 132 144 176 198 202 264 303 396 404 528 606 792 808 909 1111 1212 1584 1616 1818 2222 2424 3333 3636 4444 4848 6666 7272 8888 9999 13332 14544 17776 19998 26664 39996 53328 79992 159984 820159793 1640319586 2460479379 3280639172 4920958758 6561278344 7381438137 9021757723 9841917516 13122556688 14762876274 18043515446 19683835032 27065273169 29525752548 36087030892 39367670064 54130546338 59051505096 72174061784 81195819507 82836139093 108261092676 118103010192 144348123568 162391639014 165672278186 216522185352 248508417279 324783278028 331344556372 433044370704 497016834558 649566556056 662689112744 745525251837 911197530023 994033669116 1299133112112 1325378225488 1491050503674 1822395060046 1988067338232 2733592590069 2982101007348 3644790120092 3976134676464 5467185180138 5964202014696 7289580240184 8200777770207 10934370360276 11928404029392 14579160480368 16401555540414 21868740720552 32803111080828 43737481441104 65606222161656 131212444323312