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124400222401 = 72133712174337
BaseRepresentation
bin111001111011011010…
…1001100000011000001
3102220002122222001212111
41303312311030003001
54014232424104101
6133052040255321
711662516305100
oct1636665140301
9386078861774
10124400222401
1148837756364
1220139471541
13b9669c7670
1460418bc037
153381435251
hex1cf6d4c0c1

124400222401 has 48 divisors (see below), whose sum is σ = 160222433616. Its totient is φ = 95665618944.

The previous prime is 124400222351. The next prime is 124400222411. The reversal of 124400222401 is 104222004421.

It can be written as a sum of positive squares in 8 ways, for example, as 18025747600 + 106374474801 = 134260^2 + 326151^2 .

It is not a de Polignac number, because 124400222401 - 29 = 124400221889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (124400222411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28681305 + ... + 28685641.

It is an arithmetic number, because the mean of its divisors is an integer number (3337967367).

Almost surely, 2124400222401 is an apocalyptic number.

It is an amenable number.

124400222401 is a deficient number, since it is larger than the sum of its proper divisors (35822211215).

124400222401 is a wasteful number, since it uses less digits than its factorization.

124400222401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5611 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 124400222401 its reverse (104222004421), we get a palindrome (228622226822).

The spelling of 124400222401 in words is "one hundred twenty-four billion, four hundred million, two hundred twenty-two thousand, four hundred one".

Divisors: 1 7 13 37 49 91 259 481 637 1217 1813 3367 4337 8519 15821 23569 30359 45029 56381 59633 110747 160469 212513 315203 394667 585377 775229 1123283 2086097 2206421 2762669 4097639 5278129 7862981 14602679 28683473 36946903 68615677 102218753 195290773 258628321 480309739 1367035411 2538780049 3362168173 9569247877 17771460343 124400222401