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1023111211201 = 53173111583729
BaseRepresentation
bin11101110001101100010…
…11100010100011000001
310121210211101020121011021
432320312023202203001
5113230312432224301
62102002155545441
7133626435543352
oct16706613424301
93553741217137
101023111211201
11364998673a42
12146351a5b281
137562c3c5441
1437739a03d29
151b9306e28a1
hexee362e28c1

1023111211201 has 8 divisors (see below), whose sum is σ = 1048440727080. Its totient is φ = 998004863232.

The previous prime is 1023111211181. The next prime is 1023111211223. The reversal of 1023111211201 is 1021121113201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 613864415025 + 409246796176 = 783495^2 + 639724^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1023111211201 - 25 = 1023111211169 is a prime.

It is a super-3 number, since 3×10231112112013 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023111211261) 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 7 ways as a sum of consecutive naturals, for example, 55782696 + ... + 55801033.

It is an arithmetic number, because the mean of its divisors is an integer number (131055090885).

Almost surely, 21023111211201 is an apocalyptic number.

It is an amenable number.

1023111211201 is a deficient number, since it is larger than the sum of its proper divisors (25329515879).

1023111211201 is a wasteful number, since it uses less digits than its factorization.

1023111211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111583955.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1023111211201 its reverse (1021121113201), we get a palindrome (2044232324402).

The spelling of 1023111211201 in words is "one trillion, twenty-three billion, one hundred eleven million, two hundred eleven thousand, two hundred one".

Divisors: 1 53 173 9169 111583729 5913937637 19303985117 1023111211201