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131314554 = 23373741229
BaseRepresentation
bin1111101001110…
…11001101111010
3100011002110201000
413310323031322
5232104031204
621010305430
73153104160
oct764731572
9304073630
10131314554
116813a628
1237b88276
1321288c27
1413623230
15b7dd039
hex7d3b37a

131314554 has 128 divisors (see below), whose sum is σ = 352396800. Its totient is φ = 35458560.

The previous prime is 131314537. The next prime is 131314559. The reversal of 131314554 is 455413131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131314559) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 573312 + ... + 573540.

It is an arithmetic number, because the mean of its divisors is an integer number (2753100).

Almost surely, 2131314554 is an apocalyptic number.

131314554 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131314554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176198400).

131314554 is an abundant number, since it is smaller than the sum of its proper divisors (221082246).

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

131314554 is a wasteful number, since it uses less digits than its factorization.

131314554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 131314554 is about 11459.2562585885. The cubic root of 131314554 is about 508.2814821489.

Adding to 131314554 its reverse (455413131), we get a palindrome (586727685).

The spelling of 131314554 in words is "one hundred thirty-one million, three hundred fourteen thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 41 42 54 63 74 82 111 123 126 189 222 229 246 259 287 333 369 378 458 518 574 666 687 738 777 861 999 1107 1374 1517 1554 1603 1722 1998 2061 2214 2331 2583 3034 3206 4122 4551 4662 4809 5166 6183 6993 7749 8473 9102 9389 9618 10619 12366 13653 13986 14427 15498 16946 18778 21238 25419 27306 28167 28854 31857 40959 43281 50838 56334 59311 63714 65723 76257 81918 84501 86562 95571 118622 131446 152514 169002 177933 191142 197169 228771 253503 286713 347393 355866 394338 457542 507006 533799 573426 591507 694786 1042179 1067598 1183014 1601397 1774521 2084358 2431751 3126537 3202794 3549042 4863502 6253074 7295253 9379611 14590506 18759222 21885759 43771518 65657277 131314554