Search a number
-
+
2221112111010 = 2351367752311299
BaseRepresentation
bin100000010100100100100…
…110010010111110100010
321212100002010021220012220
4200110210212102332202
5242342314200023020
64420210444531510
7316320141303102
oct40244446227642
97770063256186
102221112111010
11786a71978511
122ba571b50b96
131315b078c510
1479706829202
153cb99b47240
hex20524992fa2

2221112111010 has 128 divisors (see below), whose sum is σ = 5827693132800. Its totient is φ = 538455810816.

The previous prime is 2221112111003. The next prime is 2221112111017. The reversal of 2221112111010 is 101112111222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2221112111003) and next prime (2221112111017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2221112111017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196570341 + ... + 196581639.

It is an arithmetic number, because the mean of its divisors is an integer number (45528852600).

Almost surely, 22221112111010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221112111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913846566400).

2221112111010 is an abundant number, since it is smaller than the sum of its proper divisors (3606581021790).

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

2221112111010 is a wasteful number, since it uses less digits than its factorization.

2221112111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18912.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2221112111010 its reverse (101112111222), we get a palindrome (2322224222232).

The spelling of 2221112111010 in words is "two trillion, two hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 130 134 195 201 335 390 402 670 871 1005 1742 2010 2613 4355 5226 7523 8710 11299 13065 15046 22569 22598 26130 33897 37615 45138 56495 67794 75230 97799 112845 112990 146887 169485 195598 225690 293397 293774 338970 440661 488995 504041 586794 734435 757033 881322 977990 1008082 1466985 1468870 1512123 1514066 2203305 2271099 2520205 2933970 3024246 3785165 4406610 4542198 5040410 6552533 7560615 7570330 9841429 11355495 13105066 15121230 19657599 19682858 22710990 29524287 32762665 39315198 49207145 59048574 65525330 85002377 98287995 98414290 147621435 170004754 196575990 255007131 295242870 425011885 510014262 850023770 1105030901 1275035655 2210061802 2550071310 3315092703 5525154505 5695159259 6630185406 11050309010 11390318518 16575463515 17085477777 28475796295 33150927030 34170955554 56951592590 74037070367 85427388885 148074140734 170854777770 222111211101 370185351835 444222422202 740370703670 1110556055505 2221112111010