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1030102221312 = 29323731119427
BaseRepresentation
bin11101111110101101110…
…00001000001000000000
310122110212121001201010200
432333112320020020000
5113334122132040222
62105120013325200
7134264615261133
oct16772670101000
93573777051120
101030102221312
1136795593834a
12147783196800
13761a48a1508
1437c002a021a
151bbde332eac
hexefd6e08200

1030102221312 has 240 divisors, whose sum is σ = 3063269956032. Its totient is φ = 332995829760.

The previous prime is 1030102221311. The next prime is 1030102221319. The reversal of 1030102221312 is 2131222010301.

1030102221312 is a `hidden beast` number, since 1 + 0 + 30 + 102 + 221 + 312 = 666.

It is a super-2 number, since 2×10301022213122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1030102221311) 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 23 ways as a sum of consecutive naturals, for example, 53014543 + ... + 53033969.

Almost surely, 21030102221312 is an apocalyptic number.

1030102221312 is a gapful number since it is divisible by the number (12) 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 1030102221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531634978016).

1030102221312 is an abundant number, since it is smaller than the sum of its proper divisors (2033167734720).

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

1030102221312 is a wasteful number, since it uses less digits than its factorization.

1030102221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19799 (or 19780 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1030102221312 its reverse (2131222010301), we get a palindrome (3161324231613).

The spelling of 1030102221312 in words is "one trillion, thirty billion, one hundred two million, two hundred twenty-one thousand, three hundred twelve".