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4021121221520 = 2451325571512109
BaseRepresentation
bin111010100000111101100…
…000001000001110010000
3112020102012211222220221212
4322200331200020032100
51011340224013042040
612315135543035252
7563342063300324
oct72407540101620
915212184886855
104021121221520
11131039110aa47
1254b3a143bb28
13232261874450
14dc8a24c9984
156e8ea39ed65
hex3a83d808390

4021121221520 has 80 divisors (see below), whose sum is σ = 10072213097520. Its totient is φ = 1484140050432.

The previous prime is 4021121221519. The next prime is 4021121221541. The reversal of 4021121221520 is 251221211204.

It can be written as a sum of positive squares in 8 ways, for example, as 264595014544 + 3756526206976 = 514388^2 + 1938176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×40211212215202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1903226 + ... + 3415334.

It is an arithmetic number, because the mean of its divisors is an integer number (125902663719).

Almost surely, 24021121221520 is an apocalyptic number.

4021121221520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021121221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036106548760).

4021121221520 is an abundant number, since it is smaller than the sum of its proper divisors (6051091876000).

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

4021121221520 is a wasteful number, since it uses less digits than its factorization.

4021121221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514692 (or 1514686 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 4021121221520 its reverse (251221211204), we get a palindrome (4272342432724).

The spelling of 4021121221520 in words is "four trillion, twenty-one billion, one hundred twenty-one million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2557 5114 10228 12785 20456 25570 33241 40912 51140 66482 102280 132964 166205 204560 265928 332410 531856 664820 1329640 1512109 2659280 3024218 6048436 7560545 12096872 15121090 19657417 24193744 30242180 39314834 60484360 78629668 98287085 120968720 157259336 196574170 314518672 393148340 786296680 1572593360 3866462713 7732925426 15465850852 19332313565 30931701704 38664627130 50264015269 61863403408 77329254260 100528030538 154658508520 201056061076 251320076345 309317017040 402112122152 502640152690 804224244304 1005280305380 2010560610760 4021121221520