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130120231223202 = 231122917346517681
BaseRepresentation
bin11101100101011111111010…
…001010001111111110100010
3122001201101001122021020212120
4131211133322022033332202
5114023342213143120302
61140424224202205110
736256606426223133
oct3545377212177642
9561641048236776
10130120231223202
1138507753330800
121271620a1b3796
13577b3926394cc
14241bbd20d3c8a
151009ad49c49bc
hex7657fa28ffa2

130120231223202 has 192 divisors, whose sum is σ = 297726436183680. Its totient is φ = 37837578240000.

The previous prime is 130120231223197. The next prime is 130120231223207. The reversal of 130120231223202 is 202322132021031.

130120231223202 is digitally balanced in base 3, 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 (130120231223197) and next prime (130120231223207).

It is not an unprimeable number, because it can be changed into a prime (130120231223207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16940528802 + ... + 16940536482.

It is an arithmetic number, because the mean of its divisors is an integer number (1550658521790).

Almost surely, 2130120231223202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130120231223202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148863218091840).

130120231223202 is an abundant number, since it is smaller than the sum of its proper divisors (167606204960478).

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

130120231223202 is a wasteful number, since it uses less digits than its factorization.

130120231223202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12561 (or 12550 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 130120231223202 its reverse (202322132021031), we get a palindrome (332442363244233).

The spelling of 130120231223202 in words is "one hundred thirty trillion, one hundred twenty billion, two hundred thirty-one million, two hundred twenty-three thousand, two hundred two".