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131213212110 = 23253771554977
BaseRepresentation
bin111101000110011101…
…0101011100111001110
3110112200110210210202200
41322030322223213032
54122211040241420
6140140054302330
712323404620621
oct1721472534716
9415613723680
10131213212110
115071348a372
122151b0579a6
13c4b1343916
1464ca677db8
15362e60db90
hex1e8ceab9ce

131213212110 has 96 divisors (see below), whose sum is σ = 355310235072. Its totient is φ = 33564948480.

The previous prime is 131213212103. The next prime is 131213212177. The reversal of 131213212110 is 11212312131.

131213212110 is a `hidden beast` number, since 1 + 312 + 1 + 321 + 21 + 10 = 666.

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

It is a congruent number.

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, 41059 + ... + 513918.

It is an arithmetic number, because the mean of its divisors is an integer number (3701148282).

Almost surely, 2131213212110 is an apocalyptic number.

131213212110 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 131213212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177655117536).

131213212110 is an abundant number, since it is smaller than the sum of its proper divisors (224097022962).

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

131213212110 is a wasteful number, since it uses less digits than its factorization.

131213212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555098 (or 555095 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131213212110 its reverse (11212312131), we get a palindrome (142425524241).

The spelling of 131213212110 in words is "one hundred thirty-one billion, two hundred thirteen million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 71 74 90 111 142 185 213 222 333 355 370 426 555 639 666 710 1065 1110 1278 1665 2130 2627 3195 3330 5254 6390 7881 13135 15762 23643 26270 39405 47286 78810 118215 236430 554977 1109954 1664931 2774885 3329862 4994793 5549770 8324655 9989586 16649310 20534149 24973965 39403367 41068298 49947930 61602447 78806734 102670745 118210101 123204894 184807341 197016835 205341490 236420202 308012235 354630303 369614682 394033670 591050505 616024470 709260606 924036705 1182101010 1457924579 1773151515 1848073410 2915849158 3546303030 4373773737 7289622895 8747547474 13121321211 14579245790 21868868685 26242642422 43737737370 65606606055 131213212110