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1224131031201 = 313292833824537
BaseRepresentation
bin10001110100000011111…
…001010011000010100001
311100000200210111111200210
4101310003321103002201
5130024010020444301
62334205200204333
7154304052040461
oct21640371230241
94300623444623
101224131031201
11432173065a91
121792b30096a9
138b586aa0cb0
1443369311ba1
1521c98460ad6
hex11d03e530a1

1224131031201 has 32 divisors (see below), whose sum is σ = 1824763570560. Its totient is φ = 724764870144.

The previous prime is 1224131031173. The next prime is 1224131031239. The reversal of 1224131031201 is 1021301314221.

It is not a de Polignac number, because 1224131031201 - 27 = 1224131031073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1224131031241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592196 + ... + 2232341.

It is an arithmetic number, because the mean of its divisors is an integer number (57023861580).

Almost surely, 21224131031201 is an apocalyptic number.

It is an amenable number.

1224131031201 is a deficient number, since it is larger than the sum of its proper divisors (600632539359).

1224131031201 is a wasteful number, since it uses less digits than its factorization.

1224131031201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824865.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1224131031201 its reverse (1021301314221), we get a palindrome (2245432345422).

The spelling of 1224131031201 in words is "one trillion, two hundred twenty-four billion, one hundred thirty-one million, thirty-one thousand, two hundred one".

Divisors: 1 3 13 29 39 87 283 377 849 1131 3679 8207 11037 24621 106691 320073 3824537 11473611 49718981 110911573 149156943 332734719 1082343971 1441850449 3247031913 4325551347 14070471623 31387975159 42211414869 94163925477 408043677067 1224131031201