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10023321222320 = 245754679327343
BaseRepresentation
bin1001000111011011110010…
…0000000011110010110000
31022111012221111020002121012
42101312330200003302300
52303210230213103240
633152352235450052
72053106146433150
oct221667440036260
938435844202535
1010023321222320
11321495958257a
12115a705bb6928
1357926c936063
142691ba556760
15125ae2554b65
hex91dbc803cb0

10023321222320 has 80 divisors (see below), whose sum is σ = 26633964840960. Its totient is φ = 3436493928192.

The previous prime is 10023321222311. The next prime is 10023321222329. The reversal of 10023321222320 is 2322212332001.

It is an interprime number because it is at equal distance from previous prime (10023321222311) and next prime (10023321222329).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10023321222329) 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, 30456569 + ... + 30783911.

It is an arithmetic number, because the mean of its divisors is an integer number (332924560512).

Almost surely, 210023321222320 is an apocalyptic number.

10023321222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023321222320 is an abundant number, since it is smaller than the sum of its proper divisors (16610643618640).

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

10023321222320 is a wasteful number, since it uses less digits than its factorization.

10023321222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382042 (or 382036 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10023321222320 its reverse (2322212332001), we get a palindrome (12345533554321).

The spelling of 10023321222320 in words is "ten trillion, twenty-three billion, three hundred twenty-one million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 54679 109358 218716 273395 327343 382753 437432 546790 654686 765506 874864 1093580 1309372 1531012 1636715 1913765 2187160 2291401 2618744 3062024 3273430 3827530 4374320 4582802 5237488 6124048 6546860 7655060 9165604 11457005 13093720 15310120 18331208 22914010 26187440 30620240 36662416 45828020 91656040 183312080 17898787897 35797575794 71595151588 89493939485 125291515279 143190303176 178987878970 250583030558 286380606352 357975757940 501166061116 626457576395 715951515880 1002332122232 1252915152790 1431903031760 2004664244464 2505830305580 5011660611160 10023321222320