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131201123210 = 251735310971993
BaseRepresentation
bin111101000110000110…
…0100100001110001010
3110112122122001121220122
41322030030210032022
54122144441420320
6140134543223242
712323200101203
oct1721414441612
9415578047818
10131201123210
1150707682843
1221516ba7b22
13c4ab9a0321
1464c8c0c5aa
15362d521d25
hex1e8c32438a

131201123210 has 64 divisors (see below), whose sum is σ = 251116798752. Its totient is φ = 49183850496.

The previous prime is 131201123177. The next prime is 131201123213. The reversal of 131201123210 is 12321102131.

It can be written as a sum of positive squares in 16 ways, for example, as 22941040369 + 108260082841 = 151463^2 + 329029^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (131201123213) 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, 65829974 + ... + 65831966.

Almost surely, 2131201123210 is an apocalyptic number.

131201123210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131201123210 is a deficient number, since it is larger than the sum of its proper divisors (119915675542).

131201123210 is a wasteful number, since it uses less digits than its factorization.

131201123210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131201123210 its reverse (12321102131), we get a palindrome (143522225341).

The spelling of 131201123210 in words is "one hundred thirty-one billion, two hundred one million, one hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 5 10 17 34 85 170 353 706 1097 1765 1993 2194 3530 3986 5485 6001 9965 10970 12002 18649 19930 30005 33881 37298 60010 67762 93245 169405 186490 338810 387241 703529 774482 1407058 1936205 2186321 3517645 3872410 4372642 6583097 7035290 10931605 11959993 13166194 21863210 23919986 32915485 37167457 59799965 65830970 74334914 119599930 185837285 371674570 771771313 1543542626 3858856565 7717713130 13120112321 26240224642 65600561605 131201123210