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22101014030420 = 22513599213166593
BaseRepresentation
bin1010000011001110010110…
…00101110010100001010100
32220020211120200000210002202
411001213023011302201110
510344100334042433140
6115001022104224032
74440513505433243
oct501471305624124
986224520023082
1022101014030420
117050a9527aa96
12258b3a8a6b018
13c44169467c30
145659a26cc95a
15284d71101915
hex1419cb172854

22101014030420 has 96 divisors (see below), whose sum is σ = 50089982342400. Its totient is φ = 8142805831680.

The previous prime is 22101014030419. The next prime is 22101014030423. The reversal of 22101014030420 is 2403041010122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22101014030392 and 22101014030401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101014030423) 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 31 ways as a sum of consecutive naturals, for example, 331848644 + ... + 331915236.

It is an arithmetic number, because the mean of its divisors is an integer number (521770649400).

Almost surely, 222101014030420 is an apocalyptic number.

22101014030420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101014030420 is an abundant number, since it is smaller than the sum of its proper divisors (27988968311980).

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

22101014030420 is a wasteful number, since it uses less digits than its factorization.

22101014030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69345 (or 69343 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22101014030420 its reverse (2403041010122), we get a palindrome (24504055040542).

The spelling of 22101014030420 in words is "twenty-two trillion, one hundred one billion, fourteen million, thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 599 1198 2131 2396 2995 4262 5990 7787 8524 10655 11980 15574 21310 27703 31148 38935 42620 55406 66593 77870 110812 133186 138515 155740 266372 277030 332965 554060 665930 865709 1276469 1331860 1731418 2552938 3462836 4328545 5105876 6382345 8657090 12764690 16594097 17314180 25529380 33188194 39889207 66376388 79778414 82970485 141909683 159556828 165940970 199446035 283819366 331881940 398892070 518559691 567638732 709548415 797784140 1037119382 1419096830 1844825879 2074238764 2592798455 2838193660 3689651758 5185596910 7379303516 9224129395 10371193820 18448258790 36896517580 85003900117 170007800234 340015600468 425019500585 850039001170 1105050701521 1700078002340 2210101403042 4420202806084 5525253507605 11050507015210 22101014030420