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2431103302122 = 2311127733395687
BaseRepresentation
bin100011011000001001000…
…011000111100111101010
322121102002202202200022120
4203120021003013213222
5304312344421131442
65100500004532110
7340433002053135
oct43301103074752
98542082680276
102431103302122
11858030487450
123331b76b1036
13148337a034a1
148594781921c
154338a2d94ec
hex236090c79ea

2431103302122 has 64 divisors (see below), whose sum is σ = 5353297772544. Its totient is φ = 729898223040.

The previous prime is 2431103302097. The next prime is 2431103302127. The reversal of 2431103302122 is 2212033011342.

It is a junction number, because it is equal to n+sod(n) for n = 2431103302092 and 2431103302101.

It is not an unprimeable number, because it can be changed into a prime (2431103302127) 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 31 ways as a sum of consecutive naturals, for example, 5946163 + ... + 6341849.

It is an arithmetic number, because the mean of its divisors is an integer number (83645277696).

Almost surely, 22431103302122 is an apocalyptic number.

2431103302122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431103302122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676648886272).

2431103302122 is an abundant number, since it is smaller than the sum of its proper divisors (2922194470422).

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

2431103302122 is a wasteful number, since it uses less digits than its factorization.

2431103302122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396563.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2431103302122 its reverse (2212033011342), we get a palindrome (4643136313464).

The spelling of 2431103302122 in words is "two trillion, four hundred thirty-one billion, one hundred three million, three hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 127 254 381 733 762 1397 1466 2199 2794 4191 4398 8063 8382 16126 24189 48378 93091 186182 279273 395687 558546 791374 1024001 1187061 2048002 2374122 3072003 4352557 6144006 8705114 13057671 26115342 50252249 100504498 150756747 290038571 301513494 552774739 580077142 870115713 1105549478 1658324217 1740231426 3190424281 3316648434 6380848562 9571272843 19142545686 36834898517 73669797034 110504695551 221009391102 405183883687 810367767374 1215551651061 2431103302122