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10000341312120 = 2333581883113083
BaseRepresentation
bin1001000110000110001011…
…0010101010001001111000
31022102000121222110201001000
42101201202302222021320
52302321144333441440
633134032100325000
72051333531425335
oct221414262521170
938360558421030
1010000341312120
113206136a64955
1211561720a3760
13577049a8c163
1426803a5b798c
151251e9db2730
hex91862caa278

10000341312120 has 128 divisors (see below), whose sum is σ = 33335172921600. Its totient is φ = 2666701533312.

The previous prime is 10000341312107. The next prime is 10000341312163. The reversal of 10000341312120 is 2121314300001.

10000341312120 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 341 + 312 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10000341312093 and 10000341312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88377099 + ... + 88490181.

It is an arithmetic number, because the mean of its divisors is an integer number (260431038450).

Almost surely, 210000341312120 is an apocalyptic number.

10000341312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000341312120 is an abundant number, since it is smaller than the sum of its proper divisors (23334831609480).

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

10000341312120 is a wasteful number, since it uses less digits than its factorization.

10000341312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194986 (or 194976 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10000341312120 its reverse (2121314300001), we get a palindrome (12121655612121).

The spelling of 10000341312120 in words is "ten trillion, three hundred forty-one million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 81883 113083 163766 226166 245649 327532 339249 409415 452332 491298 565415 655064 678498 736947 818830 904664 982596 1017747 1130830 1228245 1356996 1473894 1637660 1696245 1965192 2035494 2210841 2261660 2456490 2713992 2947788 3053241 3275320 3392490 3684735 4070988 4421682 4523320 4912980 5088735 5895576 6106482 6784980 7369470 8141976 8843364 9825960 10177470 11054205 12212964 13569960 14738940 15266205 17686728 20354940 22108410 24425928 29477880 30532410 40709880 44216820 61064820 88433640 122129640 9259575289 18519150578 27778725867 37038301156 46297876445 55557451734 74076602312 83336177601 92595752890 111114903468 138893629335 166672355202 185191505780 222229806936 250008532803 277787258670 333344710404 370383011560 416680888005 500017065606 555574517340 666689420808 833361776010 1000034131212 1111149034680 1250042664015 1666723552020 2000068262424 2500085328030 3333447104040 5000170656060 10000341312120