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2430100434101 = 137233605312577
BaseRepresentation
bin100011010111001101010…
…001011110110010110101
322121022111212200201000112
4203113031101132302311
5304303321202342401
65100212301552405
7340366103605514
oct43271521366265
98538455621015
102430100434101
118576663848aa
12332b77875705
13148208000a62
148589056267b
154332c23d3bb
hex235cd45ecb5

2430100434101 has 16 divisors (see below), whose sum is σ = 2458945769904. Its totient is φ = 2401421205504.

The previous prime is 2430100434029. The next prime is 2430100434121. The reversal of 2430100434101 is 1014340010342.

It can be written as a sum of positive squares in 8 ways, for example, as 35656768900 + 2394443665201 = 188830^2 + 1547399^2 .

It is a cyclic number.

It is not a de Polignac number, because 2430100434101 - 210 = 2430100433077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430100434121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193211525 + ... + 193224101.

It is an arithmetic number, because the mean of its divisors is an integer number (153684110619).

Almost surely, 22430100434101 is an apocalyptic number.

It is an amenable number.

2430100434101 is a deficient number, since it is larger than the sum of its proper divisors (28845335803).

2430100434101 is a wasteful number, since it uses less digits than its factorization.

2430100434101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19000.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2430100434101 its reverse (1014340010342), we get a palindrome (3444440444443).

The spelling of 2430100434101 in words is "two trillion, four hundred thirty billion, one hundred million, four hundred thirty-four thousand, one hundred one".

Divisors: 1 137 233 6053 12577 31921 829261 1410349 1723049 2930441 76128581 193217813 401470417 10429615597 17737959373 2430100434101