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131403032222046 = 231323252129054279
BaseRepresentation
bin11101111000001010100111…
…000011101101100101011110
3122020021000012020122220220220
4131320022213003231211132
5114210401402222101141
61143245415235422210
736451361430626154
oct3570124703554536
9566230166586826
10131403032222046
1138961793023852
12128a2955754966
135842339445a90
142463d2539b3d4
15102d163a14766
hex7782a70ed95e

131403032222046 has 64 divisors (see below), whose sum is σ = 295444373253120. Its totient is φ = 38658460135680.

The previous prime is 131403032222017. The next prime is 131403032222047. The reversal of 131403032222046 is 640222230304131.

It is a super-2 number, since 2×1314030322220462 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131403032221998 and 131403032222016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403032222047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10004466 + ... + 19049813.

It is an arithmetic number, because the mean of its divisors is an integer number (4616318332080).

Almost surely, 2131403032222046 is an apocalyptic number.

131403032222046 is an abundant number, since it is smaller than the sum of its proper divisors (164041341031074).

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

131403032222046 is a wasteful number, since it uses less digits than its factorization.

131403032222046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29056841.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 131403032222046 its reverse (640222230304131), we get a palindrome (771625262526177).

The spelling of 131403032222046 in words is "one hundred thirty-one trillion, four hundred three billion, thirty-two million, two hundred twenty-two thousand, forty-six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1794 2521 5042 7563 15126 32773 57983 65546 98319 115966 173949 196638 347898 753779 1507558 2261337 4522674 29054279 58108558 87162837 174325674 377705627 668248417 755411254 1133116881 1336496834 2004745251 2266233762 4009490502 8687229421 17374458842 26061688263 52123376526 73245837359 146491674718 219737512077 439475024154 952195885667 1684654259257 1904391771334 2856587657001 3369308518514 5053962777771 5713175314002 10107925555542 21900505370341 43801010740682 65701516111023 131403032222046