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10124142414155 = 57111979106316481
BaseRepresentation
bin1001001101010011010111…
…1010011000100101001011
31022211212011220002022021022
42103110311322120211023
52311333220424223110
633310544455503055
72063305454430020
oct223246572304513
938755156068238
1010124142414155
113253696503210
121176162987a8b
13585919608413
1427002269b547
15128543900755
hex93535e9894b

10124142414155 has 128 divisors (see below), whose sum is σ = 16161959116800. Its totient is φ = 5897393049600.

The previous prime is 10124142414151. The next prime is 10124142414179. The reversal of 10124142414155 is 55141424142101.

10124142414155 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10124142414155 - 22 = 10124142414151 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (10124142414151) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 614283515 + ... + 614299995.

It is an arithmetic number, because the mean of its divisors is an integer number (126265305600).

Almost surely, 210124142414155 is an apocalyptic number.

10124142414155 is a deficient number, since it is larger than the sum of its proper divisors (6037816702645).

10124142414155 is a wasteful number, since it uses less digits than its factorization.

10124142414155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17665.

The product of its (nonzero) digits is 25600, while the sum is 35.

Adding to 10124142414155 its reverse (55141424142101), we get a palindrome (65265566556256).

The spelling of 10124142414155 in words is "ten trillion, one hundred twenty-four billion, one hundred forty-two million, four hundred fourteen thousand, one hundred fifty-five".

Divisors: 1 5 7 11 19 35 55 77 79 95 133 209 385 395 553 665 869 1045 1063 1463 1501 2765 4345 5315 6083 7315 7441 7505 10507 11693 16481 16511 20197 30415 37205 52535 58465 81851 82405 82555 83977 100985 115367 115577 141379 181291 222167 313139 409255 419885 576835 577885 587839 706895 906455 923747 1110835 1269037 1301999 1555169 1565695 1595563 2191973 2939195 3444529 4618735 6345185 6466229 6509995 7775845 7977815 9113993 10959865 11168941 14321989 17222645 17519303 17551193 24111703 24737981 32331145 45569965 55844705 71609945 87596515 87755965 100253923 120558515 122635121 122858351 123689905 173165867 192712333 272117791 332866757 501269615 613175605 614291755 865829335 963561665 1348986331 1360588955 1384024937 1664333785 1904824537 2330067299 3661534327 6744931655 6920124685 9524122685 9688174559 11650336495 15224274307 18307671635 25630740289 26296473803 48440872795 76121371535 106569920149 128153701445 131482369015 184075316621 289261211833 532849600745 920376583105 1446306059165 2024828482831 10124142414155