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13121302213120 = 29523921445643
BaseRepresentation
bin1011111011110000101010…
…0011101011001000000000
31201110101101010000102100111
42332330022203223020000
53204434411331304440
643523502032001104
72522661046402453
oct276741243531000
951411333012314
1013121302213120
1141a9793033902
12157abb5690194
137424448a3b9a
143351082a749a
1517b4adb184ea
hexbef0a8eb200

13121302213120 has 80 divisors (see below), whose sum is σ = 31592007089280. Its totient is φ = 5226560303104.

The previous prime is 13121302213079. The next prime is 13121302213121. The reversal of 13121302213120 is 2131220312131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13121302213091 and 13121302213100.

It is not an unprimeable number, because it can be changed into a prime (13121302213121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10110982 + ... + 11334661.

It is an arithmetic number, because the mean of its divisors is an integer number (394900088616).

Almost surely, 213121302213120 is an apocalyptic number.

13121302213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121302213120 is an abundant number, since it is smaller than the sum of its proper divisors (18470704876160).

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

13121302213120 is an equidigital number, since it uses as much as digits as its factorization.

13121302213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21445905 (or 21445889 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13121302213120 its reverse (2131220312131), we get a palindrome (15252522525251).

The spelling of 13121302213120 in words is "thirteen trillion, one hundred twenty-one billion, three hundred two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 256 320 478 512 640 956 1195 1280 1912 2390 2560 3824 4780 7648 9560 15296 19120 30592 38240 61184 76480 122368 152960 305920 611840 21445643 42891286 85782572 107228215 171565144 214456430 343130288 428912860 686260576 857825720 1372521152 1715651440 2745042304 3431302880 5125508677 5490084608 6862605760 10251017354 10980169216 13725211520 20502034708 25627543385 27450423040 41004069416 51255086770 54900846080 82008138832 102510173540 164016277664 205020347080 328032555328 410040694160 656065110656 820081388320 1312130221312 1640162776640 2624260442624 3280325553280 6560651106560 13121302213120