Search a number
-
+
130210222012031 = 7101203939031181
BaseRepresentation
bin11101100110110011101110…
…000001110111011001111111
3122002000222100020210222122102
4131212303232001313121333
5114031331013313341111
61140533430013135315
736266243454264020
oct3546635601673177
9562028306728572
10130210222012031
1138541932830357
121272b743a8a53b
135786a04584c95
1424222cbab4c47
15100c10013213b
hex766cee07767f

130210222012031 has 16 divisors (see below), whose sum is σ = 150292451377728. Its totient is φ = 110498293536000.

The previous prime is 130210222011959. The next prime is 130210222012033.

130210222012031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 130210222012031 - 210 = 130210222011007 is a prime.

It is a super-2 number, since 2×1302102220120312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130210222011994 and 130210222012012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130210222012033) 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, 9902261 + ... + 18933441.

It is an arithmetic number, because the mean of its divisors is an integer number (9393278211108).

Almost surely, 2130210222012031 is an apocalyptic number.

130210222012031 is a deficient number, since it is larger than the sum of its proper divisors (20082229365697).

130210222012031 is a wasteful number, since it uses less digits than its factorization.

130210222012031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9051682.

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 130210222012031 in words is "one hundred thirty trillion, two hundred ten billion, two hundred twenty-two million, twelve thousand, thirty-one".

Divisors: 1 7 101 707 20393 142751 2059693 9031181 14417851 63218267 912149281 6385044967 184172874133 1289210118931 18601460287433 130210222012031