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131223344634 = 23237677291037
BaseRepresentation
bin111101000110110000…
…1010101010111111010
3110112201011212120222100
41322031201111113322
54122221134012014
6140141055404230
712323560011534
oct1721541252772
9415634776870
10131223344634
1150719180058
1221522523676
13c4b34808b5
1464cbb54854
153630461009
hex1e8d8555fa

131223344634 has 48 divisors (see below), whose sum is σ = 292433818248. Its totient is φ = 42495912576.

The previous prime is 131223344633. The next prime is 131223344663. The reversal of 131223344634 is 436443322131.

It is a happy number.

131223344634 is a `hidden beast` number, since 1 + 3 + 12 + 2 + 3 + 3 + 4 + 4 + 634 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 130411265625 + 812079009 = 361125^2 + 28497^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131223344633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305364 + ... + 596400.

Almost surely, 2131223344634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131223344634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146216909124).

131223344634 is an abundant number, since it is smaller than the sum of its proper divisors (161210473614).

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

131223344634 is a wasteful number, since it uses less digits than its factorization.

131223344634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291759 (or 291756 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 131223344634 its reverse (436443322131), we get a palindrome (567666666765).

The spelling of 131223344634 in words is "one hundred thirty-one billion, two hundred twenty-three million, three hundred forty-four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 677 1354 2031 4062 6093 12186 25049 50098 75147 150294 225441 291037 450882 582074 873111 1746222 2619333 5238666 10768369 21536738 32305107 64610214 96915321 193830642 197032049 394064098 591096147 1182192294 1773288441 3546576882 7290185813 14580371626 21870557439 43741114878 65611672317 131223344634