Search a number
-
+
2401240400103 = 329617312834831
BaseRepresentation
bin100010111100010101000…
…101001100000011100111
322111120000120110002000110
4202330111011030003213
5303320220020300403
65035040431144103
7335324655426636
oct42742505140347
98446016402013
102401240400103
118463a6673136
12329462675033
13145588b7086c
148431369b51d
15426dd742103
hex22f1514c0e7

2401240400103 has 64 divisors (see below), whose sum is σ = 3415832801280. Its totient is φ = 1497983155200.

The previous prime is 2401240400081. The next prime is 2401240400123. The reversal of 2401240400103 is 3010040421042.

It is not a de Polignac number, because 2401240400103 - 221 = 2401238302951 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2401240400103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401240400123) 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 63 ways as a sum of consecutive naturals, for example, 497045898 + ... + 497050728.

It is an arithmetic number, because the mean of its divisors is an integer number (53372387520).

Almost surely, 22401240400103 is an apocalyptic number.

2401240400103 is a deficient number, since it is larger than the sum of its proper divisors (1014592401177).

2401240400103 is a wasteful number, since it uses less digits than its factorization.

2401240400103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2401240400103 its reverse (3010040421042), we get a palindrome (5411280821145).

The spelling of 2401240400103 in words is "two trillion, four hundred one billion, two hundred forty million, four hundred thousand, one hundred three".

Divisors: 1 3 29 61 73 87 183 219 1283 1769 2117 3849 4453 4831 5307 6351 13359 14493 37207 78263 93659 111621 129137 140099 234789 280977 294691 352663 387411 420297 884073 1057989 2269627 2716111 5713199 6198173 6808881 8148333 8546039 10227227 17139597 18594519 21512443 25638117 30681681 64537329 165682771 179747017 378088553 452466629 497048313 539241051 623860847 1134265659 1357399887 1871582541 10964568037 13121532241 27600464369 32893704111 39364596723 82801393107 800413466701 2401240400103