Search a number
-
+
21310211201312 = 2511101599409631
BaseRepresentation
bin1001101100001101010111…
…00100011001100100100000
32210110020101020222201202002
410312012223210121210200
510243121303031420222
6113153435331143132
74326416620334435
oct466065344314440
983406336881662
1021310211201312
116876678737980
12248208a744aa8
13bb770ca75217
145395c3a25b8c
1526e4da487392
hex1361ab919920

21310211201312 has 48 divisors (see below), whose sum is σ = 46221675542784. Its totient is φ = 9590554080000.

The previous prime is 21310211201303. The next prime is 21310211201371.

21310211201312 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 299669264 + ... + 299740367.

It is an arithmetic number, because the mean of its divisors is an integer number (962951573808).

Almost surely, 221310211201312 is an apocalyptic number.

21310211201312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21310211201312 is an abundant number, since it is smaller than the sum of its proper divisors (24911464341472).

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

21310211201312 is a wasteful number, since it uses less digits than its factorization.

21310211201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599409753 (or 599409745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 2131021 and 1201312, that added together give a palindrome (3332333).

The spelling of 21310211201312 in words is "twenty-one trillion, three hundred ten billion, two hundred eleven million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1616 2222 3232 4444 8888 17776 35552 599409631 1198819262 2397638524 4795277048 6593505941 9590554096 13187011882 19181108192 26374023764 52748047528 60540372731 105496095056 121080745462 210992190112 242161490924 484322981848 665944100041 968645963696 1331888200082 1937291927392 2663776400164 5327552800328 10655105600656 21310211201312