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1022072723112 = 233710160235309
BaseRepresentation
bin11101101111110000100…
…10000001011010101000
310121201011000010221022110
432313320102001122220
5113221201104114422
62101311141322320
7133561625542320
oct16677022013250
93551130127273
101022072723112
11364505452521
121461021063a0
13754c520094c
143767bb18280
151b8be45c60c
hexedf84816a8

1022072723112 has 64 divisors (see below), whose sum is σ = 2949120777600. Its totient is φ = 289129478400.

The previous prime is 1022072723081. The next prime is 1022072723117. The reversal of 1022072723112 is 2113272702201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1022072723112.

It is not an unprimeable number, because it can be changed into a prime (1022072723117) 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 15 ways as a sum of consecutive naturals, for example, 30100687 + ... + 30134622.

It is an arithmetic number, because the mean of its divisors is an integer number (46080012150).

Almost surely, 21022072723112 is an apocalyptic number.

1022072723112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022072723112 is an abundant number, since it is smaller than the sum of its proper divisors (1927048054488).

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

1022072723112 is a wasteful number, since it uses less digits than its factorization.

1022072723112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60235426 (or 60235422 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 1022072723112 in words is "one trillion, twenty-two billion, seventy-two million, seven hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 4242 5656 8484 16968 60235309 120470618 180705927 240941236 361411854 421647163 481882472 722823708 843294326 1264941489 1445647416 1686588652 2529882978 3373177304 5059765956 6083766209 10119531912 12167532418 18251298627 24335064836 36502597254 42586363463 48670129672 73005194508 85172726926 127759090389 146010389016 170345453852 255518180778 340690907704 511036361556 1022072723112