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131230223136040 = 23572380692525389
BaseRepresentation
bin11101110101101001101010…
…110101010111010100101000
3122012122111010212212210020011
4131311221222311113110220
5114200033444110323130
61143034155433141304
736433033156630660
oct3565515265272450
9565574125783204
10131230223136040
11388a54748827a6
121287536825a834
13582bc5952cc32
1424598106171a0
1510288ec78752a
hex775a6ad57528

131230223136040 has 128 divisors (see below), whose sum is σ = 352164625344000. Its totient is φ = 43031641771008.

The previous prime is 131230223135987. The next prime is 131230223136043. The reversal of 131230223136040 is 40631322032131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131230223135993 and 131230223136011.

It is not an unprimeable number, because it can be changed into a prime (131230223136043) 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, 50701666 + ... + 53227054.

It is an arithmetic number, because the mean of its divisors is an integer number (2751286135500).

Almost surely, 2131230223136040 is an apocalyptic number.

131230223136040 is a gapful number since it is divisible by the number (10) 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 131230223136040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176082312672000).

131230223136040 is an abundant number, since it is smaller than the sum of its proper divisors (220934402207960).

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

131230223136040 is a wasteful number, since it uses less digits than its factorization.

131230223136040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533499 (or 2533495 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 131230223136040 its reverse (40631322032131), we get a palindrome (171861545168171).

The spelling of 131230223136040 in words is "one hundred thirty-one trillion, two hundred thirty billion, two hundred twenty-three million, one hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 8069 16138 32276 40345 56483 64552 80690 112966 161380 185587 225932 282415 322760 371174 451864 564830 742348 927935 1129660 1299109 1484696 1855870 2259320 2525389 2598218 3711740 5050778 5196436 6495545 7423480 10101556 10392872 12626945 12991090 17677723 20203112 25253890 25982180 35355446 50507780 51964360 58083947 70710892 88388615 101015560 116167894 141421784 176777230 232335788 290419735 353554460 406587629 464671576 580839470 707108920 813175258 1161678940 1626350516 2032938145 2323357880 3252701032 4065876290 8131752580 16263505160 20377363841 40754727682 81509455364 101886819205 142641546887 163018910728 203773638410 285283093774 407547276820 468679368343 570566187548 713207734435 815094553640 937358736686 1141132375096 1426415468870 1874717473372 2343396841715 2852830937740 3280755578401 3749434946744 4686793683430 5705661875480 6561511156802 9373587366860 13123022313604 16403777892005 18747174733720 26246044627208 32807555784010 65615111568020 131230223136040