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1002220112010 = 2351323930113571
BaseRepresentation
bin11101001010110001111…
…10010100100010001010
310112210220102221210121210
432211120332110202022
5112410021322041020
62044225155113550
7132256643251545
oct16453076244212
93483812853553
101002220112010
11357048141a07
121422a15a28b6
137368021c5a0
143671723b85c
151b10b6073e0
hexe958f9488a

1002220112010 has 128 divisors (see below), whose sum is σ = 2602784378880. Its totient is φ = 245517753600.

The previous prime is 1002220111999. The next prime is 1002220112011. The reversal of 1002220112010 is 102110222001.

It is not an unprimeable number, because it can be changed into a prime (1002220112011) 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 63 ways as a sum of consecutive naturals, for example, 280653525 + ... + 280657095.

It is an arithmetic number, because the mean of its divisors is an integer number (20334252960).

Almost surely, 21002220112010 is an apocalyptic number.

1002220112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002220112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301392189440).

1002220112010 is an abundant number, since it is smaller than the sum of its proper divisors (1600564266870).

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

1002220112010 is a wasteful number, since it uses less digits than its factorization.

1002220112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002220112010 its reverse (102110222001), we get a palindrome (1104330334011).

The spelling of 1002220112010 in words is "one trillion, two billion, two hundred twenty million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 239 390 478 717 1195 1434 2390 3011 3107 3571 3585 6022 6214 7142 7170 9033 9321 10713 15055 15535 17855 18066 18642 21426 30110 31070 35710 39143 45165 46423 46605 53565 78286 90330 92846 93210 107130 117429 139269 195715 232115 234858 278538 391430 464230 587145 696345 719629 853469 1174290 1392690 1439258 1706938 2158887 2560407 3598145 4267345 4317774 5120814 7196290 8534690 9355177 10752281 10794435 11095097 12802035 18710354 21504562 21588870 22190194 25604070 28065531 32256843 33285291 46775885 53761405 55475485 56131062 64513686 66570582 93551770 107522810 110950970 139779653 140327655 161284215 166426455 279559306 280655310 322568430 332852910 419338959 698898265 838677918 1397796530 2096694795 2569795159 4193389590 5139590318 7709385477 12848975795 15418770954 25697951590 33407337067 38546927385 66814674134 77093854770 100222011201 167036685335 200444022402 334073370670 501110056005 1002220112010