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1022114042411 = 711283163191467
BaseRepresentation
bin11101101111110101011…
…11101001001000101011
310121201020212220011201212
432313322233221020223
5113221242143324121
62101315215103335
7133562640003620
oct16677257511053
93551225804655
101022114042411
11364526804300
12146113b11b4b
1375500939b37
14376833d2347
151b8c2dc025b
hexedfabe922b

1022114042411 has 96 divisors (see below), whose sum is σ = 1317079056384. Its totient is φ = 776269137600.

The previous prime is 1022114042371. The next prime is 1022114042441. The reversal of 1022114042411 is 1142404112201.

It is not a de Polignac number, because 1022114042411 - 210 = 1022114041387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022114042441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2188680800 + ... + 2188681266.

It is an arithmetic number, because the mean of its divisors is an integer number (13719573504).

Almost surely, 21022114042411 is an apocalyptic number.

1022114042411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1022114042411 is a deficient number, since it is larger than the sum of its proper divisors (294965013973).

1022114042411 is a wasteful number, since it uses less digits than its factorization.

1022114042411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 1022114042411 its reverse (1142404112201), we get a palindrome (2164518154612).

The spelling of 1022114042411 in words is "one trillion, twenty-two billion, one hundred fourteen million, forty-two thousand, four hundred eleven".

Divisors: 1 7 11 77 83 121 163 191 467 581 847 913 1141 1337 1793 2101 3269 5137 6391 10043 12551 13529 14707 15853 19723 23111 31133 35959 38761 56507 70301 76121 89197 94703 110971 138061 148819 161777 174383 217931 271327 342463 395549 426371 532847 624379 837331 981167 1041733 1220681 1637009 1918213 2397241 2584039 2984597 3767093 4690081 5861317 6318043 6868169 7403351 9210641 10792837 11459063 13427491 14539111 18088273 26369651 28424429 32830567 44226301 51823457 64474487 69498473 75549859 81436861 101773777 159930221 198971003 312668719 486489311 570058027 764483203 895805471 1119511547 1206746213 1759232431 2188681033 5351382421 6270638297 8447223491 12314627017 13274208343 92919458401 146016291773 1022114042411