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10220112220010 = 25711479159717351
BaseRepresentation
bin1001010010111000111000…
…1010001000111101101010
31100012000220012012120111012
42110232032022020331222
52314421242212020020
633423015453503522
72103243623344250
oct224561612107552
940160805176435
1010220112220010
113290363a01850
121190886aa1ba2
135919a2183ca4
142749283885d0
1512acadded7c5
hex94b8e288f6a

10220112220010 has 128 divisors (see below), whose sum is σ = 22999123722240. Its totient is φ = 3176665632000.

The previous prime is 10220112220007. The next prime is 10220112220013. The reversal of 10220112220010 is 1002221102201.

It is an interprime number because it is at equal distance from previous prime (10220112220007) and next prime (10220112220013).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10220112220013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 589012835 + ... + 589030185.

It is an arithmetic number, because the mean of its divisors is an integer number (179680654080).

Almost surely, 210220112220010 is an apocalyptic number.

10220112220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10220112220010 is an abundant number, since it is smaller than the sum of its proper divisors (12779011502230).

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

10220112220010 is a wasteful number, since it uses less digits than its factorization.

10220112220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19452.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10220112220010 its reverse (1002221102201), we get a palindrome (11222333322211).

The spelling of 10220112220010 in words is "ten trillion, two hundred twenty billion, one hundred twelve million, two hundred twenty thousand, ten".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 479 770 958 1597 2395 3194 3353 4790 5269 6706 7985 10538 11179 15970 16765 17351 17567 22358 26345 33530 34702 35134 36883 52690 55895 73766 86755 87835 111790 121457 122969 173510 175670 184415 190861 242914 245938 368830 381722 607285 614845 764963 954305 1214570 1229690 1336027 1529926 1908610 2672054 3824815 5354741 6680135 7649630 8311129 8414593 10709482 13360270 16622258 16829186 26773705 27709547 41555645 42072965 53547410 55419094 58177903 58902151 83111290 84145930 91422419 116355806 117804302 138547735 182844838 193966829 277095470 290889515 294510755 304805017 387933658 457112095 581779030 589021510 609610034 639956933 914224190 969834145 1279913866 1524025085 1939668290 2133635119 3048050170 3199784665 4267270238 6399569330 10668175595 13272873013 21336351190 26545746026 66364365065 92910111091 132728730130 146001603143 185820222182 292003206286 464550555455 730008015715 929101110910 1022011222001 1460016031430 2044022444002 5110056110005 10220112220010