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131244140103210 = 232513134613216359
BaseRepresentation
bin11101110101110110101000…
…010110011000011000101010
3122012200211001210002222011200
4131311312220112120120222
5114200300444331300320
61143044420422105030
736434035066122201
oct3565665026303052
9565624053088150
10131244140103210
1138900366619162
1212877bb0b7b176
135830366889154
14245a370a78238
151028e64468290
hex775da859862a

131244140103210 has 96 divisors (see below), whose sum is σ = 343939063628160. Its totient is φ = 34721227881600.

The previous prime is 131244140103187. The next prime is 131244140103227. The reversal of 131244140103210 is 12301041442131.

It is a happy number.

131244140103210 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 41 + 401 + 0 + 3 + 210 = 666.

It is a super-2 number, since 2×1312441401032102 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39197011 + ... + 42413369.

It is an arithmetic number, because the mean of its divisors is an integer number (3582698579460).

Almost surely, 2131244140103210 is an apocalyptic number.

131244140103210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131244140103210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171969531814080).

131244140103210 is an abundant number, since it is smaller than the sum of its proper divisors (212694923524950).

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

131244140103210 is a wasteful number, since it uses less digits than its factorization.

131244140103210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219964 (or 3219961 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131244140103210 its reverse (12301041442131), we get a palindrome (143545181545341).

The spelling of 131244140103210 in words is "one hundred thirty-one trillion, two hundred forty-four billion, one hundred forty million, one hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3461 3930 5895 6922 10383 11790 17305 20766 31149 34610 51915 62298 103830 155745 311490 453391 906782 1360173 2266955 2720346 3216359 4080519 4533910 6432718 6800865 8161038 9649077 13601730 16081795 19298154 20402595 28947231 32163590 40805190 48245385 57894462 96490770 144736155 289472310 421343029 842686058 1264029087 2106715145 2528058174 3792087261 4213430290 6320145435 7584174522 11131818499 12640290870 18960436305 22263636998 33395455497 37920872610 55659092495 66790910994 100186366491 111318184990 166977277485 200372732982 333954554970 500931832455 1001863664910 1458268223369 2916536446738 4374804670107 7291341116845 8749609340214 13124414010321 14582682233690 21874023350535 26248828020642 43748046701070 65622070051605 131244140103210