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13123341432320 = 29573831912087
BaseRepresentation
bin1011111011111000010000…
…0110101011011000000000
31201110120122020011111012112
42332332010012223120000
53210003100401313240
643524440235314452
72523062430441110
oct276760406533000
951416566144175
1013123341432320
1141aa63a128429
12157b4845aba28
137426ab200572
1433525d051040
1517b57cb76665
hexbef841ab600

13123341432320 has 160 divisors (see below), whose sum is σ = 36054208954368. Its totient is φ = 4487681138688.

The previous prime is 13123341432319. The next prime is 13123341432323. The reversal of 13123341432320 is 2323414332131.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×131233414323204 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123341432323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5907317 + ... + 7819403.

Almost surely, 213123341432320 is an apocalyptic number.

13123341432320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13123341432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18027104477184).

13123341432320 is an abundant number, since it is smaller than the sum of its proper divisors (22930867522048).

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

13123341432320 is an equidigital number, since it uses as much as digits as its factorization.

13123341432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912500 (or 1912484 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 13123341432320 its reverse (2323414332131), we get a palindrome (15446755764451).

The spelling of 13123341432320 in words is "thirteen trillion, one hundred twenty-three billion, three hundred forty-one million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 383 448 512 560 640 766 896 1120 1280 1532 1792 1915 2240 2560 2681 3064 3584 3830 4480 5362 6128 7660 8960 10724 12256 13405 15320 17920 21448 24512 26810 30640 42896 49024 53620 61280 85792 98048 107240 122560 171584 196096 214480 245120 343168 428960 490240 686336 857920 980480 1372672 1715840 1912087 3431680 3824174 6863360 7648348 9560435 13384609 15296696 19120870 26769218 30593392 38241740 53538436 61186784 66923045 76483480 107076872 122373568 133846090 152966960 214153744 244747136 267692180 305933920 428307488 489494272 535384360 611867840 732329321 856614976 978988544 1070768720 1223735680 1464658642 1713229952 2141537440 2447471360 2929317284 3426459904 3661646605 4283074880 4894942720 5126305247 5858634568 6852919808 7323293210 8566149760 10252610494 11717269136 14646586420 17132299520 20505220988 23434538272 25631526235 29293172840 34264599040 41010441976 46869076544 51263052470 58586345680 82020883952 93738153088 102526104940 117172691360 164041767904 187476306176 205052209880 234345382720 328083535808 374952612352 410104419760 468690765440 656167071616 820208839520 937381530880 1312334143232 1640417679040 1874763061760 2624668286464 3280835358080 6561670716160 13123341432320