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10022010001110 = 2325597923890939
BaseRepresentation
bin1001000111010110111001…
…0110001001011011010110
31022111002120002221011020200
42101311232112021123112
52303200034030013420
633152014155441330
72053031515305612
oct221655626113326
938432502834220
1010022010001110
113214346410688
12115a3baa56246
135790c109c713
142690d4354342
15125a67399b90
hex91d6e5896d6

10022010001110 has 96 divisors (see below), whose sum is σ = 26834303808000. Its totient is φ = 2593982484288.

The previous prime is 10022010001067. The next prime is 10022010001111. The reversal of 10022010001110 is 1110001022001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10022010001092 and 10022010001101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022010001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11525980 + ... + 12364959.

It is an arithmetic number, because the mean of its divisors is an integer number (279523998000).

Almost surely, 210022010001110 is an apocalyptic number.

10022010001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022010001110 is an abundant number, since it is smaller than the sum of its proper divisors (16812293806890).

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

10022010001110 is a wasteful number, since it uses less digits than its factorization.

10022010001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23891090 (or 23891087 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10022010001110 its reverse (1110001022001), we get a palindrome (11132011023111).

The spelling of 10022010001110 in words is "ten trillion, twenty-two billion, ten million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 79 90 118 158 177 237 295 354 395 474 531 590 711 790 885 1062 1185 1422 1770 2370 2655 3555 4661 5310 7110 9322 13983 23305 27966 41949 46610 69915 83898 139830 209745 419490 23890939 47781878 71672817 119454695 143345634 215018451 238909390 358364085 430036902 716728170 1075092255 1409565401 1887384181 2150184510 2819130802 3774768362 4228696203 5662152543 7047827005 8457392406 9436920905 11324305086 12686088609 14095654010 16986457629 18873841810 21143481015 25372177218 28310762715 33972915258 42286962030 56621525430 63430443045 84932288145 111355666679 126860886090 169864576290 222711333358 334067000037 556778333395 668134000074 1002201000111 1113556666790 1670335000185 2004402000222 3340670000370 5011005000555 10022010001110