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10022442311420 = 22571131720530219
BaseRepresentation
bin1001000111011000100000…
…0111010001111011111100
31022111010200020101210111122
42101312020013101323330
52303201430212431140
633152125121410112
72053045315010540
oct221661007217374
938433606353448
1010022442311420
113214548444830
12115a4bb799938
1357915c814736
14269135929a20
15125a902e1ab5
hex91d881d1efc

10022442311420 has 96 divisors (see below), whose sum is σ = 26323355358720. Its totient is φ = 3114023466240.

The previous prime is 10022442311417. The next prime is 10022442311423. The reversal of 10022442311420 is 2411324422001.

10022442311420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10022442311417) and next prime (10022442311423).

It is a self number, because there is not a number n which added to its sum of digits gives 10022442311420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022442311423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9776930 + ... + 10753289.

It is an arithmetic number, because the mean of its divisors is an integer number (274201618320).

Almost surely, 210022442311420 is an apocalyptic number.

10022442311420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022442311420 is an abundant number, since it is smaller than the sum of its proper divisors (16300913047300).

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

10022442311420 is a wasteful number, since it uses less digits than its factorization.

10022442311420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20530563 (or 20530561 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10022442311420 its reverse (2411324422001), we get a palindrome (12433766733421).

The spelling of 10022442311420 in words is "ten trillion, twenty-two billion, four hundred forty-two million, three hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 317 385 634 770 1268 1540 1585 2219 3170 3487 4438 6340 6974 8876 11095 13948 17435 22190 24409 34870 44380 48818 69740 97636 122045 244090 488180 20530219 41060438 82120876 102651095 143711533 205302190 225832409 287423066 410604380 451664818 574846132 718557665 903329636 1129162045 1437115330 1580826863 2258324090 2874230660 3161653726 4516648180 6323307452 6508079423 7904134315 13016158846 15808268630 26032317692 31616537260 32540397115 45556555961 65080794230 71588873653 91113111922 130161588460 143177747306 182226223844 227782779805 286355494612 357944368265 455565559610 501122115571 715888736530 911131119220 1002244231142 1431777473060 2004488462284 2505610577855 5011221155710 10022442311420