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31122123443404 = 22722714571282117
BaseRepresentation
bin1110001001110001011110…
…00111001100110011001100
311002012020122021220220012121
413010320233013030303030
513034401102100142104
6150105150042542324
76361333142314600
oct704705707146314
9132166567826177
1031122123443404
119a09900371574
1235a78142079a4
131449a5a7ca826
14798466b69500
1538e857b3e254
hex1c4e2f1ccccc

31122123443404 has 72 divisors (see below), whose sum is σ = 63728731655232. Its totient is φ = 13259746241280.

The previous prime is 31122123443371. The next prime is 31122123443459. The reversal of 31122123443404 is 40434432122113.

It is a super-2 number, since 2×311221234434042 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31122123443404.

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 23 ways as a sum of consecutive naturals, for example, 23632954 + ... + 24915070.

Almost surely, 231122123443404 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 31122123443404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31864365827616).

31122123443404 is an abundant number, since it is smaller than the sum of its proper divisors (32606608211828).

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

31122123443404 is a wasteful number, since it uses less digits than its factorization.

31122123443404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282863 (or 1282854 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 31122123443404 its reverse (40434432122113), we get a palindrome (71556555565517).

The spelling of 31122123443404 in words is "thirty-one trillion, one hundred twenty-two billion, one hundred twenty-three million, four hundred forty-three thousand, four hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 271 457 542 914 1084 1828 1897 3199 3794 6398 7588 12796 13279 22393 26558 44786 53116 89572 123847 247694 495388 866929 1282117 1733858 2564234 3467716 5128468 6068503 8974819 12137006 17949638 24274012 35899276 62823733 125647466 251294932 347453707 585927469 694907414 1171854938 1389814828 2343709876 2432175949 4101492283 4864351898 8202984566 9728703796 16405969132 17025231643 28710445981 34050463286 57420891962 68100926572 114841783924 158786344099 317572688198 635145376396 1111504408693 2223008817386 4446017634772 7780530860851 15561061721702 31122123443404