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131123233033201 = 47223521177713513
BaseRepresentation
bin11101110100000110000001…
…101110100000101111110001
3122012021020222120010102112201
4131310012001232200233301
5114141310340124030301
61142513103124023201
736422224644023623
oct3564060156405761
9565236876112481
10131123233033201
1138864061742a02
1212858689531b01
135821b387a1386
142454581094c13
151025c39a3b201
hex774181ba0bf1

131123233033201 has 32 divisors (see below), whose sum is σ = 134857601077248. Its totient is φ = 127431486074880.

The previous prime is 131123233033103. The next prime is 131123233033231. The reversal of 131123233033201 is 102330332321131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131123233033201 - 213 = 131123233025009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131123233033201.

It is not an unprimeable number, because it can be changed into a prime (131123233033231) 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 31 ways as a sum of consecutive naturals, for example, 9703481221 + ... + 9703494733.

It is an arithmetic number, because the mean of its divisors is an integer number (4214300033664).

Almost surely, 2131123233033201 is an apocalyptic number.

It is an amenable number.

131123233033201 is a deficient number, since it is larger than the sum of its proper divisors (3734368044047).

131123233033201 is a wasteful number, since it uses less digits than its factorization.

131123233033201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16081.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 131123233033201 its reverse (102330332321131), we get a palindrome (233453565354332).

The spelling of 131123233033201 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, two hundred thirty-three million, thirty-three thousand, two hundred one".

Divisors: 1 47 223 521 1777 10481 13513 24487 83519 116183 396271 635111 925817 3013399 5460601 7040273 18624737 24012601 43513399 141629753 206457191 330892831 1128592247 1569980879 5354810023 9703487977 12510565121 73789101313 251676071081 587996560687 2789856021983 131123233033201