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101123021131 = 1110191019821
BaseRepresentation
bin101111000101101100…
…1101101100101001011
3100200000102210201121221
41132023121231211023
53124044443134011
6114242201142511
710206631332406
oct1361331554513
9320012721557
10101123021131
1139982344540
1217721a8aa37
1396c73909a2
144c74272d3d
15296cb1b971
hex178b66d94b

101123021131 has 8 divisors (see below), whose sum is σ = 111408262128. Its totient is φ = 91019820000.

The previous prime is 101123021123. The next prime is 101123021137. The reversal of 101123021131 is 131120321101.

It is a happy number.

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 101123021131 - 23 = 101123021123 is a prime.

It is a super-3 number, since 3×1011230211313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101123021137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45508800 + ... + 45511021.

It is an arithmetic number, because the mean of its divisors is an integer number (13926032766).

Almost surely, 2101123021131 is an apocalyptic number.

101123021131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101123021131 is a deficient number, since it is larger than the sum of its proper divisors (10285240997).

101123021131 is a wasteful number, since it uses less digits than its factorization.

101123021131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91019933.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101123021131 its reverse (131120321101), we get a palindrome (232243342232).

The spelling of 101123021131 in words is "one hundred one billion, one hundred twenty-three million, twenty-one thousand, one hundred thirty-one".

Divisors: 1 11 101 1111 91019821 1001218031 9193001921 101123021131