Search a number
-
+
131102712 = 23341379197
BaseRepresentation
bin1111101000001…
…11011111111000
3100010200201010000
413310013133320
5232030241322
621001553000
73151232436
oct764073770
9303621100
10131102712
1168005454
1237aa5760
1321213690
14135a9d56
15b79a3ac
hex7d077f8

131102712 has 160 divisors (see below), whose sum is σ = 402494400. Its totient is φ = 39626496.

The previous prime is 131102683. The next prime is 131102723. The reversal of 131102712 is 217201131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 665398 + ... + 665594.

It is an arithmetic number, because the mean of its divisors is an integer number (2515590).

Almost surely, 2131102712 is an apocalyptic number.

131102712 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 131102712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201247200).

131102712 is an abundant number, since it is smaller than the sum of its proper divisors (271391688).

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

131102712 is a wasteful number, since it uses less digits than its factorization.

131102712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 131102712 is about 11450.0092576382. The cubic root of 131102712 is about 508.0080082231.

Adding to 131102712 its reverse (217201131), we get a palindrome (348303843).

The spelling of 131102712 in words is "one hundred thirty-one million, one hundred two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 79 81 104 108 117 156 158 162 197 216 234 237 312 316 324 351 394 468 474 591 632 648 702 711 788 936 948 1027 1053 1182 1404 1422 1576 1773 1896 2054 2106 2133 2364 2561 2808 2844 3081 3546 4108 4212 4266 4728 5122 5319 5688 6162 6399 7092 7683 8216 8424 8532 9243 10244 10638 12324 12798 14184 15366 15563 15957 17064 18486 20488 21276 23049 24648 25596 27729 30732 31126 31914 36972 42552 46098 46689 51192 55458 61464 62252 63828 69147 73944 83187 92196 93378 110916 124504 127656 138294 140067 166374 184392 186756 202319 207441 221832 276588 280134 332748 373512 404638 414882 420201 553176 560268 606957 665496 809276 829764 840402 1120536 1213914 1260603 1618552 1659528 1680804 1820871 2427828 2521206 3361608 3641742 4855656 5042412 5462613 7283484 10084824 10925226 14566968 16387839 21850452 32775678 43700904 65551356 131102712