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201144131023 = 11231038539049
BaseRepresentation
bin1011101101010100011…
…1111101110111001111
3201020012002011120012111
42323111013331313033
511243420344143043
6232223200444451
720350352621653
oct2732507756717
9636162146174
10201144131023
1178339688830
1232b96919727
1315c77381a94
149a4202aa63
155373b2609d
hex2ed51fddcf

201144131023 has 32 divisors (see below), whose sum is σ = 231490022400. Its totient is φ = 172987626240.

The previous prime is 201144131017. The next prime is 201144131029. The reversal of 201144131023 is 320131441102.

It is an interprime number because it is at equal distance from previous prime (201144131017) and next prime (201144131029).

It is a de Polignac number, because none of the positive numbers 2k-201144131023 is a prime.

It is a super-2 number, since 2×2011441310232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201144130985 and 201144131003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201144131029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22223803 + ... + 22232851.

It is an arithmetic number, because the mean of its divisors is an integer number (7234063200).

Almost surely, 2201144131023 is an apocalyptic number.

201144131023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

201144131023 is a deficient number, since it is larger than the sum of its proper divisors (30345891377).

201144131023 is a wasteful number, since it uses less digits than its factorization.

201144131023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10039.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 201144131023 its reverse (320131441102), we get a palindrome (521275572125).

The spelling of 201144131023 in words is "two hundred one billion, one hundred forty-four million, one hundred thirty-one thousand, twenty-three".

Divisors: 1 11 23 103 253 853 1133 2369 9049 9383 19619 26059 87859 99539 208127 215809 932047 966449 2020757 2289397 7718797 10252517 21437081 22228327 84906767 177532331 235807891 795036091 1952855641 8745397001 18285830093 201144131023