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332013013332013 = 13371733989917601
BaseRepresentation
bin100101101111101101100110…
…1101110000111000000101101
31121112120010121202100221212001
41023133123031232013000231
5322004200122403111023
63134044401145212301
7126635101660156666
oct11337331556070055
91545503552327761
10332013013332013
1196875a23512302
12312a241a491091
1311334901167490
145bdb730aac36d
15285b648cec6ad
hex12df6cdb8702d

332013013332013 has 16 divisors (see below), whose sum is σ = 369338692581936. Its totient is φ = 296466837350400.

The previous prime is 332013013331999. The next prime is 332013013332023. The reversal of 332013013332013 is 310233310310233.

It can be written as a sum of positive squares in 8 ways, for example, as 106303385764 + 331906709946249 = 326042^2 + 18218307^2 .

It is a cyclic number.

It is not a de Polignac number, because 332013013332013 - 29 = 332013013331501 is a prime.

It is a super-2 number, since 2×3320130133320132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332013013332023) 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, 1994875588 + ... + 1995042013.

It is an arithmetic number, because the mean of its divisors is an integer number (23083668286371).

Almost surely, 2332013013332013 is an apocalyptic number.

It is an amenable number.

332013013332013 is a deficient number, since it is larger than the sum of its proper divisors (37325679249923).

332013013332013 is a wasteful number, since it uses less digits than its factorization.

332013013332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989917824.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 332013013332013 its reverse (310233310310233), we get a palindrome (642246323642246).

The spelling of 332013013332013 in words is "three hundred thirty-two trillion, thirteen billion, thirteen million, three hundred thirty-two thousand, thirteen".

Divisors: 1 13 37 173 481 2249 6401 83213 3989917601 51868928813 147626951237 690255744973 1919150366081 8973324684649 25539462564001 332013013332013