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1213032131322 = 23111011311389107
BaseRepresentation
bin10001101001101110010…
…110010110101011111010
311021222001021221222022220
4101221232112112223322
5124333242211200242
62325132000224510
7153432031664004
oct21515626265372
94258037858286
101213032131322
11428498018260
1217711600b136
138a50852980b
14429d5259374
1521848d87bec
hex11a6e596afa

1213032131322 has 64 divisors (see below), whose sum is σ = 2693224816128. Its totient is φ = 361167560000.

The previous prime is 1213032131291. The next prime is 1213032131359. The reversal of 1213032131322 is 2231312303121.

It is a junction number, because it is equal to n+sod(n) for n = 1213032131292 and 1213032131301.

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, 178693 + ... + 1567799.

It is an arithmetic number, because the mean of its divisors is an integer number (42081637752).

Almost surely, 21213032131322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213032131322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346612408064).

1213032131322 is an abundant number, since it is smaller than the sum of its proper divisors (1480192684806).

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

1213032131322 is a wasteful number, since it uses less digits than its factorization.

1213032131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389355.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1213032131322 its reverse (2231312303121), we get a palindrome (3444344434443).

The spelling of 1213032131322 in words is "one trillion, two hundred thirteen billion, thirty-two million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 131 202 262 303 393 606 786 1111 1441 2222 2882 3333 4323 6666 8646 13231 26462 39693 79386 145541 291082 436623 873246 1389107 2778214 4167321 8334642 15280177 30560354 45840531 91681062 140299807 181973017 280599614 363946034 420899421 545919051 841798842 1091838102 1543297877 2001703187 3086595754 4003406374 4629893631 6005109561 9259787262 12010219122 18379274717 36758549434 55137824151 110275648302 202172021887 404344043774 606516065661 1213032131322