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131100222 = 231171101277
BaseRepresentation
bin1111101000001…
…10111000111110
3100010200120200210
413310012320332
5232030201342
621001533250
73151222251
oct764067076
9303616623
10131100222
11680035a0
1237aa4226
13212124c6
14135a9098
15b79979c
hex7d06e3e

131100222 has 64 divisors (see below), whose sum is σ = 293995008. Its totient is φ = 38640000.

The previous prime is 131100199. The next prime is 131100223. The reversal of 131100222 is 222001131.

It is a junction number, because it is equal to n+sod(n) for n = 131100198 and 131100207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100223) 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, 473148 + ... + 473424.

It is an arithmetic number, because the mean of its divisors is an integer number (4593672).

Almost surely, 2131100222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146997504).

131100222 is an abundant number, since it is smaller than the sum of its proper divisors (162894786).

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

131100222 is a wasteful number, since it uses less digits than its factorization.

131100222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131100222 is about 11449.9005235853. The cubic root of 131100222 is about 508.0047920477.

Adding to 131100222 its reverse (222001131), we get a palindrome (353101353).

Subtracting 131100222 from its reverse (222001131), we obtain a palindrome (90900909).

The spelling of 131100222 in words is "one hundred thirty-one million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 71 101 142 202 213 277 303 426 554 606 781 831 1111 1562 1662 2222 2343 3047 3333 4686 6094 6666 7171 9141 14342 18282 19667 21513 27977 39334 43026 55954 59001 78881 83931 118002 157762 167862 216337 236643 307747 432674 473286 615494 649011 923241 1298022 1846482 1986367 3972734 5959101 11918202 21850037 43700074 65550111 131100222