Search a number
-
+
1030120210301 = 71347391161583
BaseRepresentation
bin11101111110101111111…
…00101111111101111101
310122110220211220122101112
432333113330233331331
5113334141233212201
62105121455051405
7134265224213150
oct16772774577575
93573824818345
101030120210301
11367965004786
12147789210b65
13761a852c4a0
1437c02823c97
151bbe0bd80bb
hexefd7f2ff7d

1030120210301 has 32 divisors (see below), whose sum is σ = 1295167684608. Its totient is φ = 797481973440.

The previous prime is 1030120210291. The next prime is 1030120210321.

1030120210301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1030120210301 - 210 = 1030120209277 is a prime.

It is a super-2 number, since 2×10301202103012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030120210321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16696556 + ... + 16758138.

It is an arithmetic number, because the mean of its divisors is an integer number (40473990144).

Almost surely, 21030120210301 is an apocalyptic number.

It is an amenable number.

1030120210301 is a deficient number, since it is larger than the sum of its proper divisors (265047474307).

1030120210301 is a wasteful number, since it uses less digits than its factorization.

1030120210301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65561.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 1030120 and 210301, that added together give a palindrome (1240421).

The spelling of 1030120210301 in words is "one trillion, thirty billion, one hundred twenty million, two hundred ten thousand, three hundred one".

Divisors: 1 7 13 47 91 329 611 3911 4277 27377 50843 61583 183817 355901 431081 800579 1286719 2389621 2894401 5604053 16727347 20260807 37627213 240851113 263390491 1685957791 3131064469 11320002311 21917451283 79240016177 147160030043 1030120210301