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13120233220000 = 25541117758693
BaseRepresentation
bin1011111011101100101011…
…0101110010011110100000
31201110021121121111221110201
42332323022311302132200
53204430214201020000
643523204003434544
72522622416200444
oct276731265623640
951407547457421
1013120233220000
1141a9294677515
12157a957685a54
1374230428b58a
1433504631a824
1517b449d5996a
hexbeecad727a0

13120233220000 has 120 divisors (see below), whose sum is σ = 32281179618996. Its totient is φ = 5247534336000.

The previous prime is 13120233219997. The next prime is 13120233220009. The reversal of 13120233220000 is 2233202131.

It can be written as a sum of positive squares in 10 ways, for example, as 108427952656 + 13011805267344 = 329284^2 + 3607188^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13120233220000.

It is not an unprimeable number, because it can be changed into a prime (13120233220009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 223510654 + ... + 223569346.

Almost surely, 213120233220000 is an apocalyptic number.

13120233220000 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 13120233220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140589809498).

13120233220000 is an abundant number, since it is smaller than the sum of its proper divisors (19160946398996).

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

13120233220000 is an equidigital number, since it uses as much as digits as its factorization.

13120233220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69900 (or 69877 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13120233220000 its reverse (2233202131), we get a palindrome (13122466422131).

The spelling of 13120233220000 in words is "thirteen trillion, one hundred twenty billion, two hundred thirty-three million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 11177 20000 22354 44708 55885 58693 89416 111770 117386 178832 223540 234772 279425 293465 357664 447080 469544 558850 586930 894160 939088 1117700 1173860 1397125 1467325 1788320 1878176 2235400 2347720 2794250 2934650 4470800 4695440 5588500 5869300 6985625 7336625 8941600 9390880 11177000 11738600 13971250 14673250 22354000 23477200 27942500 29346500 36683125 44708000 46954400 55885000 58693000 73366250 111770000 117386000 146732500 223540000 234772000 293465000 586930000 656011661 1173860000 1312023322 2624046644 3280058305 5248093288 6560116610 10496186576 13120233220 16400291525 20992373152 26240466440 32800583050 52480932880 65601166100 82001457625 104961865760 131202332200 164002915250 262404664400 328005830500 410007288125 524809328800 656011661000 820014576250 1312023322000 1640029152500 2624046644000 3280058305000 6560116610000 13120233220000