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131120363316 = 223176722343019
BaseRepresentation
bin111101000011101100…
…0011111011100110100
3110112110000002121011110
41322013120133130310
54122013303111231
6140122540235020
712321166461465
oct1720730373464
9415400077143
10131120363316
1150676032728
12214b3b3ba70
13c4980350c7
1464bc1c8d6c
1536263bd046
hex1e8761f734

131120363316 has 96 divisors (see below), whose sum is σ = 330261442560. Its totient is φ = 40339183104.

The previous prime is 131120363291. The next prime is 131120363369. The reversal of 131120363316 is 613363021131.

It is a super-2 number, since 2×1311203633162 (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 31 ways as a sum of consecutive naturals, for example, 3026455 + ... + 3069473.

It is an arithmetic number, because the mean of its divisors is an integer number (3440223360).

Almost surely, 2131120363316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131120363316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165130721280).

131120363316 is an abundant number, since it is smaller than the sum of its proper divisors (199141079244).

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

131120363316 is a wasteful number, since it uses less digits than its factorization.

131120363316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43333 (or 43331 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

Adding to 131120363316 its reverse (613363021131), we get a palindrome (744483384447).

The spelling of 131120363316 in words is "one hundred thirty-one billion, one hundred twenty million, three hundred sixty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 223 268 402 446 669 804 892 1139 1338 2278 2676 3417 3791 4556 6834 7582 11373 13668 14941 15164 22746 29882 43019 44823 45492 59764 86038 89646 129057 172076 179292 253997 258114 507994 516228 731323 761991 1015988 1462646 1523982 2193969 2882273 2925292 3047964 4387938 5764546 8646819 8775876 9593237 11529092 17293638 19186474 28779711 34587276 38372948 48998641 57559422 97997282 115118844 146995923 163085029 195994564 293991846 326170058 489255087 587983692 642746879 652340116 978510174 1285493758 1928240637 1957020348 2570987516 3856481274 7712962548 10926696943 21853393886 32780090829 43706787772 65560181658 131120363316