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375813031341 = 31123173795791
BaseRepresentation
bin1010111100000000011…
…00111100010110101101
31022221001001112001111210
411132000030330112231
522124131114000331
6444351321305033
736102666026256
oct5360014742655
91287031461453
10375813031341
11135421727900
1260a03035179
132959269b277
1414291bb7b2d
159b982c4446
hex578033c5ad

375813031341 has 96 divisors (see below), whose sum is σ = 583729807360. Its totient is φ = 214609824000.

The previous prime is 375813031331. The next prime is 375813031343. The reversal of 375813031341 is 143130318573.

It is a happy number.

It is not a de Polignac number, because 375813031341 - 26 = 375813031277 is a prime.

It is a super-2 number, since 2×3758130313412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 375813031341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375813031343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64893156 + ... + 64898946.

Almost surely, 2375813031341 is an apocalyptic number.

375813031341 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

375813031341 is a deficient number, since it is larger than the sum of its proper divisors (207916776019).

375813031341 is a wasteful number, since it uses less digits than its factorization.

375813031341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 375813031341 in words is "three hundred seventy-five billion, eight hundred thirteen million, thirty-one thousand, three hundred forty-one".

Divisors: 1 3 11 31 33 73 79 93 121 219 237 341 363 803 869 1023 2263 2409 2449 2607 3751 5767 5791 6789 7347 8833 9559 11253 17301 17373 24893 26499 26939 28677 63437 63701 74679 80817 178777 179521 190311 191103 273823 296329 422743 457489 536331 538563 697807 700711 821469 888987 1268229 1372467 1966547 1974731 2093421 2102133 4650173 5032379 5899641 5924193 13105033 13950519 14182159 15097137 21632017 21722041 33396697 39315099 42546477 51151903 55356169 64896051 65166123 100190091 144155363 153455709 156003749 166068507 367363667 432466089 468011247 1035297607 1102091001 1585708993 1716041239 3105892821 4041000337 4757126979 5148123717 11388273677 12123001011 34164821031 125271010447 375813031341