Search a number
-
+
13003323312100 = 22521117695364883
BaseRepresentation
bin1011110100111001001001…
…1101111000011111100100
31201001002211221220021102211
42331032102131320133210
53201021301231441400
643353351054413204
72511313321316062
oct275162235703744
951032757807384
1013003323312100
114163751017320
12156016a801204
13734292340594
1432d51554d032
151783a62e1dba
hexbd3927787e4

13003323312100 has 72 divisors (see below), whose sum is σ = 32593142842848. Its totient is φ = 4450335244800.

The previous prime is 13003323312053. The next prime is 13003323312127. The reversal of 13003323312100 is 121332330031.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347663742 + ... + 347701141.

It is an arithmetic number, because the mean of its divisors is an integer number (452682539484).

Almost surely, 213003323312100 is an apocalyptic number.

13003323312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13003323312100 is an abundant number, since it is smaller than the sum of its proper divisors (19589819530748).

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

13003323312100 is a wasteful number, since it uses less digits than its factorization.

13003323312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695364925 (or 695364918 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13003323312100 its reverse (121332330031), we get a palindrome (13124655642131).

The spelling of 13003323312100 in words is "thirteen trillion, three billion, three hundred twenty-three million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 695364883 1390729766 2781459532 3476824415 6953648830 7649013713 11821203011 13907297660 15298027426 17384122075 23642406022 30596054852 34768244150 38245068565 47284812044 59106015055 69536488300 76490137130 118212030110 130033233121 152980274260 191225342825 236424060220 260066466242 295530075275 382450685650 520132932484 591060150550 650166165605 764901371300 1182120301100 1300332331210 2600664662420 3250830828025 6501661656050 13003323312100