Search a number
-
+
2111413233104 = 247431459300491
BaseRepresentation
bin11110101110011010000…
…010010010010111010000
321110211221000111111200222
4132232122002102113100
5234043133241424404
64253545253132212
7305354534234450
oct36563202222720
97424830444628
102111413233104
117444997a893a
122a125802a068
1312414a794086
147429b62bd60
1539dc91d0dbe
hex1eb9a0925d0

2111413233104 has 80 divisors (see below), whose sum is σ = 4787294307840. Its totient is φ = 883238670720.

The previous prime is 2111413233071. The next prime is 2111413233107. The reversal of 2111413233104 is 4013323141112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111413233107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6876299 + ... + 7176789.

It is an arithmetic number, because the mean of its divisors is an integer number (59841178848).

Almost surely, 22111413233104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111413233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393647153920).

2111413233104 is an abundant number, since it is smaller than the sum of its proper divisors (2675881074736).

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

2111413233104 is a wasteful number, since it uses less digits than its factorization.

2111413233104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302008 (or 302002 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 2111413233104 its reverse (4013323141112), we get a palindrome (6124736374216).

The spelling of 2111413233104 in words is "two trillion, one hundred eleven billion, four hundred thirteen million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 602 688 1204 1459 2408 2918 4816 5836 10213 11672 20426 23344 40852 62737 81704 125474 163408 250948 300491 439159 501896 600982 878318 1003792 1201964 1756636 2103437 2403928 3513272 4206874 4807856 7026544 8413748 12921113 16827496 25842226 33654992 51684452 90447791 103368904 180895582 206737808 361791164 438416369 723582328 876832738 1447164656 1753665476 3068914583 3507330952 6137829166 7014661904 12275658332 18851903867 24551316664 37703807734 49102633328 75407615468 131963327069 150815230936 263926654138 301630461872 527853308276 1055706616552 2111413233104