Search a number
-
+
1302131031102 = 235111729557887
BaseRepresentation
bin10010111100101101000…
…011101011110000111110
311121111000202021001100000
4102330231003223300332
5132313231020443402
62434105111015130
7163035010100136
oct22745503536076
94544022231300
101302131031102
1146225a025420
1219044106a4a6
1395a3775b6a5
14470485d1ac6
1523d1106bc1c
hex12f2d0ebc3e

1302131031102 has 384 divisors, whose sum is σ = 3506265584640. Its totient is φ = 357520988160.

The previous prime is 1302131031083. The next prime is 1302131031169. The reversal of 1302131031102 is 2011301312031.

1302131031102 is a `hidden beast` number, since 130 + 213 + 10 + 311 + 0 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1468016503 + ... + 1468017389.

It is an arithmetic number, because the mean of its divisors is an integer number (9130899960).

Almost surely, 21302131031102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1302131031102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753132792320).

1302131031102 is an abundant number, since it is smaller than the sum of its proper divisors (2204134553538).

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

1302131031102 is a wasteful number, since it uses less digits than its factorization.

1302131031102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1302131031102 its reverse (2011301312031), we get a palindrome (3313432343133).

The spelling of 1302131031102 in words is "one trillion, three hundred two billion, one hundred thirty-one million, thirty-one thousand, one hundred two".