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10220313345 = 3511377921191
BaseRepresentation
bin10011000010010110…
…11001101100000001
3222101021022201012220
421201023121230001
5131412400011340
64410052441253
7511161141624
oct114113315401
928337281186
1010220313345
114375111760
121b92919229
13c6b5376b8
146cd511dbb
153ec3caed0
hex2612d9b01

10220313345 has 64 divisors (see below), whose sum is σ = 18554019840. Its totient is φ = 4760121600.

The previous prime is 10220313293. The next prime is 10220313377. The reversal of 10220313345 is 54331302201.

It is not a de Polignac number, because 10220313345 - 29 = 10220312833 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471700 + ... + 492890.

It is an arithmetic number, because the mean of its divisors is an integer number (289906560).

Almost surely, 210220313345 is an apocalyptic number.

10220313345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10220313345 is a deficient number, since it is larger than the sum of its proper divisors (8333706495).

10220313345 is a wasteful number, since it uses less digits than its factorization.

10220313345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21326.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10220313345 its reverse (54331302201), we get a palindrome (64551615546).

The spelling of 10220313345 in words is "ten billion, two hundred twenty million, three hundred thirteen thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 33 37 55 79 111 165 185 237 395 407 555 869 1185 1221 2035 2607 2923 4345 6105 8769 13035 14615 21191 32153 43845 63573 96459 105955 160765 233101 317865 482295 699303 784067 1165505 1674089 2352201 3496515 3920335 5022267 8370445 8624737 11761005 18414979 25111335 25874211 43123685 55244937 61941293 92074895 129371055 185823879 276224685 309706465 681354223 929119395 2044062669 3406771115 10220313345