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1022322422121 = 3711133727893299
BaseRepresentation
bin11101110000001110010…
…10100011000101101001
310121201210101222221221220
432320013022203011221
5113222204020001441
62101352021252253
7133601050131630
oct16700712430551
93551711887856
101022322422121
113646233a0040
12146171864089
1375534b69340
14376a2d56517
151b8d6332466
hexee072a3169

1022322422121 has 128 divisors (see below), whose sum is σ = 1880879616000. Its totient is φ = 476659676160.

The previous prime is 1022322422117. The next prime is 1022322422161. The reversal of 1022322422121 is 1212242232201.

It is not a de Polignac number, because 1022322422121 - 22 = 1022322422117 is a prime.

It is a super-2 number, since 2×10223224221212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022322422091 and 1022322422100.

It is not an unprimeable number, because it can be changed into a prime (1022322422101) 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 127 ways as a sum of consecutive naturals, for example, 309886930 + ... + 309890228.

It is an arithmetic number, because the mean of its divisors is an integer number (14694372000).

Almost surely, 21022322422121 is an apocalyptic number.

1022322422121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022322422121 is a deficient number, since it is larger than the sum of its proper divisors (858557193879).

1022322422121 is a wasteful number, since it uses less digits than its factorization.

1022322422121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1022322422121 its reverse (1212242232201), we get a palindrome (2234564654322).

The spelling of 1022322422121 in words is "one trillion, twenty-two billion, three hundred twenty-two million, four hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2789 2849 3003 3299 3367 5291 8367 8547 9897 10101 15873 19523 23093 30679 36257 36289 37037 42887 58569 69279 92037 103193 108771 108867 111111 122063 128661 214753 253799 254023 300209 309579 366189 398827 471757 644259 722351 761397 762069 854441 900627 1135123 1196481 1341509 1342693 1415271 1586819 2167053 2563323 2791789 3302299 3405369 4024527 4028079 4760457 7945861 8375367 9200911 9390563 9398851 9906897 11107733 14756599 17455009 23837583 27602733 28171689 28196553 33323199 44269797 52365027 64406377 101210021 103296193 119611843 122185063 193219131 303630063 309888579 340433707 358835529 366555189 708470147 837282901 1021301121 1315730273 2125410441 2383035949 2511848703 3744770777 3947190819 4425638191 7149107847 9210111911 11234312331 13276914573 26213395439 27630335733 30979467337 48682020101 78640186317 92938402011 146046060303 340774140707 1022322422121