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4124111114130 = 2357711312111453
BaseRepresentation
bin111100000000111000001…
…011011000111110010010
3112121021001101122112210220
4330000320023120332102
51020032134421123010
612434331313533510
7603646214034030
oct74007013307622
915537041575726
104124111114130
111350031232677
12567344574296
1323bb959399c7
14103872681550
1572426d33970
hex3c0382d8f92

4124111114130 has 128 divisors (see below), whose sum is σ = 11558741078016. Its totient is φ = 922282233600.

The previous prime is 4124111114119. The next prime is 4124111114141. The reversal of 4124111114130 is 314111114214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4124111114119) and next prime (4124111114141).

It is a self number, because there is not a number n which added to its sum of digits gives 4124111114130.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 897484 + ... + 3008936.

It is an arithmetic number, because the mean of its divisors is an integer number (90302664672).

Almost surely, 24124111114130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124111114130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779370539008).

4124111114130 is an abundant number, since it is smaller than the sum of its proper divisors (7434629963886).

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

4124111114130 is a wasteful number, since it uses less digits than its factorization.

4124111114130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111672.

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 4124111114130 its reverse (314111114214), we get a palindrome (4438222228344).

The spelling of 4124111114130 in words is "four trillion, one hundred twenty-four billion, one hundred eleven million, one hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 131 142 210 213 262 355 393 426 497 655 710 786 917 994 1065 1310 1491 1834 1965 2130 2485 2751 2982 3930 4585 4970 5502 7455 9170 9301 13755 14910 18602 27510 27903 46505 55806 65107 93010 130214 139515 195321 279030 325535 390642 651070 976605 1953210 2111453 4222906 6334359 10557265 12668718 14780171 21114530 29560342 31671795 44340513 63343590 73900855 88681026 147801710 149913163 221702565 276600343 299826326 443405130 449739489 553200686 749565815 829801029 899478978 1049392141 1383001715 1499131630 1659602058 1936202401 2098784282 2248697445 2766003430 3148176423 3872404802 4149005145 4497394890 5246960705 5808607203 6296352846 8298010290 9681012005 10493921410 11617214406 15740882115 19362024010 19638624353 29043036015 31481764230 39277248706 58086072030 58915873059 98193121765 117831746118 137470370471 196386243530 274940740942 294579365295 412411111413 589158730590 687351852355 824822222826 1374703704710 2062055557065 4124111114130