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131141023041222 = 232173257337486247
BaseRepresentation
bin11101110100010110100110…
…000110000000011011000110
3122012022221220101011110201200
4131310112212012000123012
5114142103303344304342
61142525204305403330
736423424542424335
oct3564264606003306
9565287811143650
10131141023041222
1138870660738277
1212860013339546
13582371235963c
14245538ba5bd1c
15102642b76494c
hex7745a61806c6

131141023041222 has 96 divisors (see below), whose sum is σ = 287745201237312. Its totient is φ = 43163333885952.

The previous prime is 131141023041187. The next prime is 131141023041233. The reversal of 131141023041222 is 222140320141131.

131141023041222 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 10 + 230 + 412 + 2 + 2 = 666.

It is a super-2 number, since 2×1311410230412222 (a number of 29 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 47 ways as a sum of consecutive naturals, for example, 269457303 + ... + 269943549.

It is an arithmetic number, because the mean of its divisors is an integer number (2997345846222).

Almost surely, 2131141023041222 is an apocalyptic number.

131141023041222 is an abundant number, since it is smaller than the sum of its proper divisors (156604178196090).

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

131141023041222 is a wasteful number, since it uses less digits than its factorization.

131141023041222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487022 (or 487019 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131141023041222 its reverse (222140320141131), we get a palindrome (353281343182353).

The spelling of 131141023041222 in words is "one hundred thirty-one trillion, one hundred forty-one billion, twenty-three million, forty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 173 257 337 346 514 519 674 771 1011 1038 1542 1557 2022 2313 3033 3114 4626 6066 44461 58301 86609 88922 116602 133383 173218 174903 259827 266766 349806 400149 486247 519654 524709 779481 800298 972494 1049418 1458741 1558962 2917482 4376223 8752446 14983357 29966714 44950071 84120731 89900142 124965479 134850213 163865239 168241462 249930958 252362193 269700426 327730478 374896437 491595717 504724386 749792874 757086579 983191434 1124689311 1474787151 1514173158 2249378622 2949574302 21619027867 28348686347 42113366423 43238055734 56697372694 64857083601 84226732846 85046059041 126340099269 129714167202 170092118082 194571250803 252680198538 255138177123 379020297807 389142501606 510276354246 758040595614 7285612391179 14571224782358 21856837173537 43713674347074 65570511520611 131141023041222