Search a number
-
+
2013132422334 = 231183636157773
BaseRepresentation
bin11101010010111000000…
…010101111110010111110
321010110020122211000201110
4131102320002233302332
5230440343400003314
64140453102222450
7265305204152445
oct35227002576276
97113218730643
102013132422334
11706845852090
122861a9b84a26
13117ab71bc287
146d616a49d5c
1537575d8aa59
hex1d4b80afcbe

2013132422334 has 64 divisors (see below), whose sum is σ = 4445983842048. Its totient is φ = 602585068800.

The previous prime is 2013132422293. The next prime is 2013132422341. The reversal of 2013132422334 is 4332242313102.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 34816672 + ... + 34874444.

It is an arithmetic number, because the mean of its divisors is an integer number (69468497532).

Almost surely, 22013132422334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013132422334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222991921024).

2013132422334 is an abundant number, since it is smaller than the sum of its proper divisors (2432851419714).

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

2013132422334 is a wasteful number, since it uses less digits than its factorization.

2013132422334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64233.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2013132422334 its reverse (4332242313102), we get a palindrome (6345374735436).

The spelling of 2013132422334 in words is "two trillion, thirteen billion, one hundred thirty-two million, four hundred twenty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1826 2739 5478 6361 12722 19083 38166 57773 69971 115546 139942 173319 209913 346638 419826 527963 635503 1055926 1271006 1583889 1906509 3167778 3813018 4795159 5807593 9590318 11615186 14385477 17422779 28770954 34845558 52746749 105493498 158240247 316480494 367494053 734988106 1102482159 2204964318 4042434583 8084869166 12127303749 24254607498 30502006399 61004012798 91506019197 183012038394 335522070389 671044140778 1006566211167 2013132422334