Search a number
-
+
402201034100300 = 225289155928987253
BaseRepresentation
bin101101101110011001011100…
…1110001000000111001001100
31221202002001011121020101112102
41123130302321301000321030
5410204130204212202200
63543224334310254232
7150501031365042161
oct13334627161007114
91852061147211472
10402201034100300
11107176556432526
1239139308657378
131435651941a856
1471468c3682068
15317728a24a6d5
hex16dccb9c40e4c

402201034100300 has 72 divisors (see below), whose sum is σ = 883148870167200. Its totient is φ = 158970727928320.

The previous prime is 402201034100267. The next prime is 402201034100309. The reversal of 402201034100300 is 3001430102204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (402201034100309) 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, 618527 + ... + 28368726.

It is an arithmetic number, because the mean of its divisors is an integer number (12265956530100).

Almost surely, 2402201034100300 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 402201034100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441574435083600).

402201034100300 is an abundant number, since it is smaller than the sum of its proper divisors (480947836066900).

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

402201034100300 is a wasteful number, since it uses less digits than its factorization.

402201034100300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28988915 (or 28988908 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 402201034100300 its reverse (3001430102204), we get a palindrome (405202464202504).

The spelling of 402201034100300 in words is "four hundred two trillion, two hundred one billion, thirty-four million, one hundred thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1559 1780 2225 3118 4450 6236 7795 8900 15590 31180 38975 77950 138751 155900 277502 555004 693755 1387510 2775020 3468775 6937550 13875100 28987253 57974506 115949012 144936265 289872530 579745060 724681325 1449362650 2579865517 2898725300 5159731034 10319462068 12899327585 25798655170 45191127427 51597310340 64496637925 90382254854 128993275850 180764509708 225955637135 257986551700 451911274270 903822548540 1129778185675 2259556371350 4022010341003 4519112742700 8044020682006 16088041364012 20110051705015 40220103410030 80440206820060 100550258525075 201100517050150 402201034100300