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131212444101211 = 11475910514092887
BaseRepresentation
bin11101110101011001000111…
…000111101110101001011011
3122012120210020211111020102201
4131311121013013232221123
5114144241041142214321
61143022055322511031
736431533453422124
oct3565310707565133
9565523224436381
10131212444101211
1138898980aa2790
1212871a26065477
13582a385017495
142458a052a904b
15102820b9ca291
hex7756471eea5b

131212444101211 has 32 divisors (see below), whose sum is σ = 148805620162560. Its totient is φ = 114658108404000.

The previous prime is 131212444101199. The next prime is 131212444101253. The reversal of 131212444101211 is 112101444212131.

It is a cyclic number.

It is not a de Polignac number, because 131212444101211 - 213 = 131212444093019 is a prime.

It is a super-2 number, since 2×1312124441012112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131212444101211.

It is not an unprimeable number, because it can be changed into a prime (131212444104211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30012210 + ... + 34105096.

It is an arithmetic number, because the mean of its divisors is an integer number (4650175630080).

Almost surely, 2131212444101211 is an apocalyptic number.

131212444101211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131212444101211 is a deficient number, since it is larger than the sum of its proper divisors (17593176061349).

131212444101211 is a wasteful number, since it uses less digits than its factorization.

131212444101211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094055.

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 131212444101211 its reverse (112101444212131), we get a palindrome (243313888313342).

The spelling of 131212444101211 in words is "one hundred thirty-one trillion, two hundred twelve billion, four hundred forty-four million, one hundred one thousand, two hundred eleven".

Divisors: 1 11 47 59 517 649 1051 2773 11561 30503 49397 62009 543367 682099 2914423 4092887 32058653 45021757 192365689 241480333 2116022579 2656283663 4301624237 11349575651 47317866607 124845332161 202176339139 253795829983 2223939730529 2791754129813 11928404009201 131212444101211