Search a number
-
+
1333013102032 = 243720691088309
BaseRepresentation
bin10011011001011101110…
…001011011110111010000
311201102201222022210112211
4103121131301123313100
5133320002323231112
62500213333001504
7165210210262303
oct23313561336720
94642658283484
101333013102032
11474367165397
1219641b483294
13989197b0541
1448737c4ab3a
1524a1c3300a7
hex1365dc5bdd0

1333013102032 has 40 divisors (see below), whose sum is σ = 2653800402600. Its totient is φ = 648178831872.

The previous prime is 1333013102027. The next prime is 1333013102041. The reversal of 1333013102032 is 2302013103331.

It can be written as a sum of positive squares in 4 ways, for example, as 11901937216 + 1321111164816 = 109096^2 + 1149396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1333013101994 and 1333013102012.

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 7 ways as a sum of consecutive naturals, for example, 680694 + ... + 1769002.

It is an arithmetic number, because the mean of its divisors is an integer number (66345010065).

Almost surely, 21333013102032 is an apocalyptic number.

It is an amenable number.

1333013102032 is a deficient number, since it is larger than the sum of its proper divisors (1320787300568).

1333013102032 is a wasteful number, since it uses less digits than its factorization.

1333013102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090423 (or 1090417 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1333013102032 its reverse (2302013103331), we get a palindrome (3635026205363).

The spelling of 1333013102032 in words is "one trillion, three hundred thirty-three billion, thirteen million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 37 74 148 296 592 2069 4138 8276 16552 33104 76553 153106 306212 612424 1088309 1224848 2176618 4353236 8706472 17412944 40267433 80534866 161069732 322139464 644278928 2251711321 4503422642 9006845284 18013690568 36027381136 83313318877 166626637754 333253275508 666506551016 1333013102032