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1031311000122 = 2313139267735533
BaseRepresentation
bin11110000000111101110…
…11010000001000111010
310122120222211121000221020
433000132323100020322
5113344111104000442
62105435553523310
7134336563601454
oct17003673201072
93576884530836
101031311000122
1136841619a7a7
12147a5bb73536
137633814a750
1437cb6a372d4
151bc605049ec
hexf01eed023a

1031311000122 has 64 divisors (see below), whose sum is σ = 2238164423040. Its totient is φ = 314916989184.

The previous prime is 1031311000079. The next prime is 1031311000163. The reversal of 1031311000122 is 2210001131301.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 29006268 + ... + 29041800.

It is an arithmetic number, because the mean of its divisors is an integer number (34971319110).

Almost surely, 21031311000122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031311000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119082211520).

1031311000122 is an abundant number, since it is smaller than the sum of its proper divisors (1206853422918).

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

1031311000122 is a wasteful number, since it uses less digits than its factorization.

1031311000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38367.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1031311000122 its reverse (2210001131301), we get a palindrome (3241312131423).

The spelling of 1031311000122 in words is "one trillion, thirty-one billion, three hundred eleven million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 78 139 278 417 834 1807 2677 3614 5354 5421 8031 10842 16062 34801 35533 69602 71066 104403 106599 208806 213198 372103 461929 744206 923858 1116309 1385787 2232618 2771574 4837339 4939087 9674678 9878174 14512017 14817261 29024034 29634522 64208131 95121841 128416262 190243682 192624393 285365523 385248786 570731046 1236583933 2473167866 3709751799 7419503598 13221935899 26443871798 39665807697 79331615394 171885166687 343770333374 515655500061 1031311000122