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13200010220310 = 2351733317770151
BaseRepresentation
bin1100000000010101110111…
…1010111001001100010110
31201201220112102000110101220
43000011131322321030112
53212232110104022220
644024000113431210
72531445362413254
oct300053572711426
951656472013356
1013200010220310
11422a102711631
12159230086b506
137499a91454c4
14338c536075d4
1517d568979540
hexc015deb9316

13200010220310 has 64 divisors (see below), whose sum is σ = 33553629817344. Its totient is φ = 3311948736000.

The previous prime is 13200010220291. The next prime is 13200010220329. The reversal of 13200010220310 is 1302201000231.

It is an interprime number because it is at equal distance from previous prime (13200010220291) and next prime (13200010220329).

It is a super-2 number, since 2×132000102203102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13200010220310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2186266 + ... + 5583885.

It is an arithmetic number, because the mean of its divisors is an integer number (524275465896).

Almost surely, 213200010220310 is an apocalyptic number.

13200010220310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13200010220310 is an abundant number, since it is smaller than the sum of its proper divisors (20353619597034).

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

13200010220310 is a wasteful number, since it uses less digits than its factorization.

13200010220310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773509.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13200010220310 its reverse (1302201000231), we get a palindrome (14502211220541).

The spelling of 13200010220310 in words is "thirteen trillion, two hundred billion, ten million, two hundred twenty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 3331 6662 9993 16655 19986 33310 49965 56627 99930 113254 169881 283135 339762 566270 849405 1698810 7770151 15540302 23310453 38850755 46620906 77701510 116552265 132092567 233104530 264185134 396277701 660462835 792555402 1320925670 1981388505 3962777010 25882372981 51764745962 77647118943 129411864905 155294237886 258823729810 388235594715 440000340677 776471189430 880000681354 1320001022031 2200001703385 2640002044062 4400003406770 6600005110155 13200010220310