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131311044405224 = 23293128292857
BaseRepresentation
bin11101110110110100111100…
…001010000010011111101000
3122012221012202110100122202022
4131312310330022002133220
5114202400004331431344
61143135243325324012
736441624043242245
oct3566647412023750
9565835673318668
10131311044405224
1138926779327542
1212888b63106608
135836769853938
14245d6ba4965cc
15102aa7cdd00ee
hex776d3c2827e8

131311044405224 has 144 divisors (see below), whose sum is σ = 263804563608300. Its totient is φ = 61201152875520.

The previous prime is 131311044405209. The next prime is 131311044405241. The reversal of 131311044405224 is 422504440113131.

It can be written as a sum of positive squares in 6 ways, for example, as 107327320812100 + 23983723593124 = 10359890^2 + 4897318^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 153221755004 + ... + 153221755860.

Almost surely, 2131311044405224 is an apocalyptic number.

It is an amenable number.

131311044405224 is an abundant number, since it is smaller than the sum of its proper divisors (132493519203076).

131311044405224 is an frugal number, since it uses more digits than its factorization.

131311044405224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 131311044405224 its reverse (422504440113131), we get a palindrome (553815484518355).

The spelling of 131311044405224 in words is "one hundred thirty-one trillion, three hundred eleven billion, forty-four million, four hundred five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 29 31 58 62 116 124 232 248 829 857 899 961 1658 1714 1798 1922 3316 3428 3596 3844 6632 6856 7192 7688 24041 24853 25699 26567 27869 48082 49706 51398 53134 55738 96164 99412 102796 106268 111476 192328 198824 205592 212536 222952 687241 710453 745271 770443 796669 823577 1374482 1420906 1490542 1540886 1593338 1647154 2748964 2841812 2981084 3081772 3186676 3294308 5497928 5683624 5962168 6163544 6373352 6588616 19929989 20603137 21304471 22024043 23103401 23883733 39859978 41206274 42608942 44048086 46206802 47767466 79719956 82412548 85217884 88096172 92413604 95534932 159439912 164825096 170435768 176192344 184827208 191069864 588965537 617829659 638697247 660438601 682745333 1177931074 1235659318 1277394494 1320877202 1365490666 2355862148 2471318636 2554788988 2641754404 2730981332 4711724296 4942637272 5109577976 5283508808 5461962664 17080000573 18257931647 19152719429 19799614657 34160001146 36515863294 38305438858 39599229314 68320002292 73031726588 76610877716 79198458628 136640004584 146063453176 153221755432 158396917256 529480017763 565995881057 1058960035526 1131991762114 2117920071052 2263983524228 4235840142104 4527967048456 16413880550653 32827761101306 65655522202612 131311044405224