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131432134212 = 2232191181162703
BaseRepresentation
bin111101001100111110…
…1110011011001000100
3110120020201202012102200
41322121331303121010
54123133111243322
6140213514434500
712332003464521
oct1723175633104
9416221665380
10131432134212
1150816016825
1221580432a30
13c5177c4822
14650b784148
1536439548ac
hex1e99f73644

131432134212 has 72 divisors (see below), whose sum is σ = 350015352960. Its totient is φ = 41469485760.

The previous prime is 131432134201. The next prime is 131432134219. The reversal of 131432134212 is 212431234131.

131432134212 is a `hidden beast` number, since 1 + 3 + 1 + 432 + 13 + 4 + 212 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131432134219) 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, 726453 + ... + 889155.

Almost surely, 2131432134212 is an apocalyptic number.

131432134212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131432134212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175007676480).

131432134212 is an abundant number, since it is smaller than the sum of its proper divisors (218583218748).

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

131432134212 is a wasteful number, since it uses less digits than its factorization.

131432134212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163913 (or 163908 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 131432134212 its reverse (212431234131), we get a palindrome (343863368343).

The spelling of 131432134212 in words is "one hundred thirty-one billion, four hundred thirty-two million, one hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1181 2362 3543 4724 7086 10629 14172 21258 22439 42516 44878 67317 89756 134634 162703 201951 269268 325406 403902 488109 650812 807804 976218 1464327 1952436 2928654 3091357 5857308 6182714 9274071 12365428 18548142 27822213 37096284 55644426 111288852 192152243 384304486 576456729 768608972 1152913458 1729370187 2305826916 3458740374 3650892617 6917480748 7301785234 10952677851 14603570468 21905355702 32858033553 43810711404 65716067106 131432134212