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131210204334 = 231121012836323
BaseRepresentation
bin111101000110010111…
…1001101010010101110
3110112200021010222212120
41322030233031102232
54122204303014314
6140135510013410
712323340222606
oct1721457152256
9415607128776
10131210204334
1150711815600
122151a047266
13c4b082c881
1464ca0d3c06
15362e2178a9
hex1e8cbcd4ae

131210204334 has 96 divisors (see below), whose sum is σ = 292377036672. Its totient is φ = 39221688000.

The previous prime is 131210204329. The next prime is 131210204381. The reversal of 131210204334 is 433402012131.

It is a happy number.

It is a super-2 number, since 2×1312102043342 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20748097 + ... + 20754419.

It is an arithmetic number, because the mean of its divisors is an integer number (3045594132).

Almost surely, 2131210204334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131210204334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146188518336).

131210204334 is an abundant number, since it is smaller than the sum of its proper divisors (161166832338).

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

131210204334 is a wasteful number, since it uses less digits than its factorization.

131210204334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131210204334 its reverse (433402012131), we get a palindrome (564612216465).

The spelling of 131210204334 in words is "one hundred thirty-one billion, two hundred ten million, two hundred four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 283 303 363 566 606 726 849 1111 1698 2222 3113 3333 6226 6323 6666 9339 12221 12646 18678 18969 24442 28583 34243 36663 37938 57166 68486 69553 73326 85749 102729 139106 171498 205458 208659 314413 417318 628826 638623 765083 943239 1277246 1530166 1789409 1886478 1915869 2295249 3458543 3578818 3831738 4590498 5368227 6917086 7024853 10375629 10736454 14049706 19683499 20751258 21074559 39366998 42149118 59050497 77273383 118100994 154546766 180730309 216518489 231820149 361460618 433036978 463640298 542190927 649555467 1084381854 1299110934 1988033399 3976066798 5964100197 11928200394 21868367389 43736734778 65605102167 131210204334