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1321022144034 = 2324991373107119
BaseRepresentation
bin10011001110010011000…
…011100011111000100010
311200021210022020000111100
4103032103003203320202
5133120423132102114
62450511425055230
7164304105645135
oct23162303437042
94607708200440
101321022144034
1146a27361a14a
12194033787516
1397758493518
1447d1b50421c
1524569798909
hex133930e3e22

1321022144034 has 48 divisors (see below), whose sum is σ = 2870066160000. Its totient is φ = 439134097248.

The previous prime is 1321022144033. The next prime is 1321022144051. The reversal of 1321022144034 is 4304412201231.

1321022144034 is a `hidden beast` number, since 1 + 3 + 210 + 2 + 2 + 1 + 440 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1321022143989 and 1321022144007.

It is not an unprimeable number, because it can be changed into a prime (1321022144033) 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 23 ways as a sum of consecutive naturals, for example, 12278727 + ... + 12385845.

It is an arithmetic number, because the mean of its divisors is an integer number (59793045000).

Almost surely, 21321022144034 is an apocalyptic number.

1321022144034 is an abundant number, since it is smaller than the sum of its proper divisors (1549044015966).

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

1321022144034 is a wasteful number, since it uses less digits than its factorization.

1321022144034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108999 (or 108996 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1321022144034 its reverse (4304412201231), we get a palindrome (5625434345265).

The spelling of 1321022144034 in words is "one trillion, three hundred twenty-one billion, twenty-two million, one hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 499 998 1373 1497 2746 2994 4119 4491 8238 8982 12357 24714 107119 214238 321357 642714 685127 964071 1370254 1928142 2055381 4110762 6166143 12332286 53452381 106904762 147074387 160357143 294148774 320714286 441223161 481071429 882446322 962142858 1323669483 2647338966 73390119113 146780238226 220170357339 440340714678 660511072017 1321022144034