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4311110212420 = 22511216631071227
BaseRepresentation
bin111110101111000010001…
…100010101101101000100
3120021010201200102222221011
4332233002030111231010
51031113123203244140
613100255141332004
7623316221116354
oct76570214255504
916233650388834
104311110212420
111412371362a00
12597632107004
132536c762c91b
1410c931c40b64
157721dc28cea
hex3ebc2315b44

4311110212420 has 72 divisors (see below), whose sum is σ = 9957175667712. Its totient is φ = 1566732298560.

The previous prime is 4311110212303. The next prime is 4311110212427. The reversal of 4311110212420 is 242120111134.

4311110212420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4311110212391 and 4311110212400.

It is not an unprimeable number, because it can be changed into a prime (4311110212427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3488847 + ... + 4560073.

It is an arithmetic number, because the mean of its divisors is an integer number (138294106496).

Almost surely, 24311110212420 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 4311110212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978587833856).

4311110212420 is an abundant number, since it is smaller than the sum of its proper divisors (5646065455292).

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

4311110212420 is a wasteful number, since it uses less digits than its factorization.

4311110212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072921 (or 1072908 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 4311110212420 its reverse (242120111134), we get a palindrome (4553230323554).

The spelling of 4311110212420 in words is "four trillion, three hundred eleven billion, one hundred ten million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1663 2420 3326 6652 8315 16630 18293 33260 36586 73172 91465 182930 201223 365860 402446 804892 1006115 1071227 2012230 2142454 4024460 4284908 5356135 10712270 11783497 21424540 23566994 47133988 58917485 117834970 129618467 235669940 259236934 518473868 648092335 1296184670 1781450501 2592369340 3562901002 7125802004 8907252505 17814505010 19595955511 35629010020 39191911022 78383822044 97979777555 195959555110 215555510621 391919110220 431111021242 862222042484 1077777553105 2155555106210 4311110212420