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13102211221220 = 22511431385011757
BaseRepresentation
bin1011111010101001100010…
…1001010100011011100100
31201101120002121221112210102
42332222120221110123210
53204131312033034340
643511023413443232
72521414002553112
oct276523051243344
951346077845712
1013102211221220
1141a168672a050
121577368040518
137406c1627b84
14334216a04ab2
1517ac42aa8215
hexbea98a546e4

13102211221220 has 48 divisors (see below), whose sum is σ = 30714020745408. Its totient is φ = 4653639500160.

The previous prime is 13102211221217. The next prime is 13102211221223. The reversal of 13102211221220 is 2212211220131.

13102211221220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13102211221217) and next prime (13102211221223).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13102211221192 and 13102211221201.

It is not an unprimeable number, because it can be changed into a prime (13102211221223) 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, 692496419 + ... + 692515338.

It is an arithmetic number, because the mean of its divisors is an integer number (639875432196).

Almost surely, 213102211221220 is an apocalyptic number.

13102211221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102211221220 is an abundant number, since it is smaller than the sum of its proper divisors (17611809524188).

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

13102211221220 is a wasteful number, since it uses less digits than its factorization.

13102211221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385011820 (or 1385011818 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 13102211221220 its reverse (2212211220131), we get a palindrome (15314422441351).

The spelling of 13102211221220 in words is "thirteen trillion, one hundred two billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 1385011757 2770023514 5540047028 6925058785 13850117570 15235129327 27700235140 30470258654 59555505551 60940517308 76175646635 119111011102 152351293270 238222022204 297777527755 304702586540 595555055510 655110561061 1191110111020 1310221122122 2620442244244 3275552805305 6551105610610 13102211221220